New trends in density matrix renormalization

Advances in Physics

Volumn 55, Issue 5-6, 2006, Pages 477-526

  Hallberg, Karen A ^a  

^a CENTRO ATÓMICO BARILOCHE   (Argentina)

Author keywords

Density matrix renormalization; Low dimensional systems; Numerical methods; Quantum information; Strongly correlated electrons

Indexed keywords

COMPUTER SIMULATION; CORRELATION METHODS; FERMIONS; HIGH ENERGY PHYSICS; STATISTICAL MECHANICS; THERMODYNAMIC PROPERTIES;

DENSITY MATRIX RENORMALIZATION; LOW-DIMENSIONAL SYSTEMS; QUANTUM INFORMATION; STRONGLY CORRELATED ELECTRONS;

NUMERICAL METHODS;

EID: 33751183759     PISSN: 00018732     EISSN: 14606976     Source Type: Journal    
DOI: 10.1080/00018730600766432     Document Type: Article

References (558)

1. S. White, Phys. Rev. Lett. 69 2863 (1992).
2. I. Peschel, X. Wang, M. Kaulke and K. Hallberg (eds.) Density Matrix Renormalization, Lecture Notes in Physics (Springer, Berlin, 1999).
3. A. Schollwöck, Rev. Mod. Phys., 77 259 (2005).
4. R. Noack and S. Manmana, AIP Conf. Proc. 789 93 (2005).
5. S. White, Phys. Rev. B 48 10345 (1993).
6. J. Bray and S. Chui, Phys. Rev. B 19 4876 (1979).
7. C. Pan and X. Chen, Phys. Rev. B 36 8600 (1987).
8. M. Kovarik, Phys. Rev. B 41 6889 (1990).
9. T. Xiang and G. Gehring, Phys. Rev. B 48 303 (1993).
10. K. Wilson, Rev. Mod. Phys. 47 773 (1975).
11. J. Latorre, E. Rico and G. Vidal, Quant. Inf. Comp. 6 48 (2004) (quant-ph/0304098).
12. J. Gaite, Proc. Conf. TH2002, quant-ph/0301120.
13. F. Verstraete et al., Phys. Rev. Lett. 94 140601 (2005).
14. S. White and R. Noack, Phys. Rev. Lett. 68 3487 (1992).
15. R. Noack and S. White, Phys. Rev. B 47 9243 (1993).
16. J. Gaite, Mod. Phys. Lett. A 16 1109 (2001).
17. R. Feynman, Statistical Mechanics: A Set of Lectures (Benjamin, Reading, MA, 1972).
18. R. Noack and S. White, in: Density Matrix Renormalization, Lecture Notes in Physics, edited by I. Peschel, X. Wang, M. Kaulke and K. Hallberg (Springer, Berlin, 1999), Chap. 2(1).
19. M. Martín-Delgado, G. Sierra and R. Noack, J. Phys. A: Math. Gen. 32 6079 (1999).
20. S.R. White, I. Affleck and D. Scalapino, Phys. Rev. B 65 165122 (2002).
21. E. Dagotto, Rev. Mod. Phys. 66 763 (1994).
22. N. Laflorencie and D. Poilblanc, Lect. Notes Phys. 645 227 (2004).
23. E.R. Davidson, J. Comput. Phys. 17 87 (1975).
24. E.R. Davidson, Comput. Phys. 7 519 (1993).
25. S. White, Phys. Rev. Lett. 77 3633 (1996).
26. T. Nishino and K. Okunishi, Phys. Soc. Jpn 64 4084 (1995).
27. U. Schollwöck, Phys. Rev. B 58 8194 (1998).
28. U. Schollwöck, Phys. Rev. B 59 3917 (1999) (erratum).
29. J. Preskill, J. Mod. Opt. 47 127 (2000) (quant-ph/9904022).
30. T.J. Osborne and M.A. Nielsen, Quant. Inf. Proc. 1 45 (2002) (available on-line: http://www.kluweronline.com/issn/1570-0755/).
31. T.J. Osborne and M.A. Nielsen, Phys. Rev. A 66 032110 (2002).
32. F. Verstraete, M. Popp and J.I. Cirac, Phys. Rev. Lett. 92 027901 (2004).
33. F. Verstraete and J. Cirac, preprint, cond-mat/0407066.
34. F. Verstraete, D. Porras and C. Cirac, Phys. Rev. Lett. 93 227205 (2004).
35. F. Verstraete, M.A. Martin-Delgado and J. I. Cirac, Phys. Rev. Lett. 92 087201 (2004).
36. A. Galindo and M.A. Martín-Delgado, Rev. Mod. Phys. 74 347 (2002).
37. E. Schmidt, Math. Ann. 63 433 (1906).
38. M. Nielsen and I.L. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, Cambridge, 2000).
39. C.H. Bennet, G. Brassard, S. Popescu and B. Schumacher, Phys. Rev. Lett. 76 722 (1996).
40. Ö. Legeza and J. Sólyom, Phys. Rev. B 68 195116 (2003).
41. C. Callan and F. Wilczek, Phys. Lett. B 333 55 (1994).
42. J. Gaite, Mod. Phys. Lett. A 16 1109 (2001).
43. G. Vidal, J. Latorre, E. Rico and A. Kitaev, Phys. Rev. Lett. 90 227902 (2003).
44. V. Korepin, Phys. Rev. Lett. 92 96402 (2004).
45. N. Laflorencie, E. Sorensen, M.-S. Chang and I. Affleck, Phys. Rev. B 96 100603 (2006).
46. G. De Chiara, S. Montenegro, P. Calabrese and R. Fazio, J. Stat. Mech. PO3001 (2006).
47. J. Zhao, I. Peschel and X. Wang, Phys. Rev. B 73 024417 (2006).
48. Ö. Legeza and J. Sólyom, preprint, cond-mat/0511081.
49. Ö. Legeza, K. Buchta and J. Sólyom, preprint, cond-mat/0511082.
50. J. Rissler, R. Noack and S. White, preprint, cond-mat/0508524 to appear in Chem. Phys. (2006).
51. P. Zanardi, Phys. Rev. A 65 42101 (2002).
52. S.-J. Gu, S.-S. Deng, Y.-Q. Lin and H.-Q. Lin, Phys. Rev. Lett. 93 86402 (2004).
53. S.-S. Deng, S.-J. Gu and H.-Q. Lin, preprint, cond-mat/0511103.
54. I. Affleck, T. Kennedy, E. Lieb and H. Tasaki, Phys. Rev. Lett. 59 799 (1987).
55. S. Östlund and S. Rommer, Phys. Rev. Lett. 75 3537 (1995).
56. S. Rommer and S. Östlund, Phys. Rev. B 55 2164 (1997).
57. M. Andersson, M. Boman and S. Östlund, Phys. Rev. B 59 10493 (1999).
58. H. Takasaki, T. Hikihara and T. Nishino, J. Phys. Soc. Jpn 68 1537 (1999).
59. J. Dukelsky et al., Europhys. Lett. 43 457 (1997).
60. I. Peschel and M. Kaulke, in: Density Matrix Renormalization, Lecture Notes in Physics, edited by I. Peschel, X. Wang, M. Kaulke and K. Hallberg (Springer, Berlin, 1999), Chap. 3.1(II).
61. K. Okunishi, Y. Hieida and Y. Akutsu, Phys. Rev. E 59 R6227 (1999).
62. I. Peschel, M. Kaulke and Ö. Legeza, Annalen der Physik 8 153 (1999) (cond-mat/9810174).
63. Ö. Legeza and G. Fáth, Phys. Rev. B 53 14349 (1996).
64. M.-B. Lepetit and G. Pastor, Phys. Rev. B 58 12691 (1998).
65. M.C. Chung and I. Peschel, Phys. Rev. B 64 064412 (2001).
66. C. Degli Esposti Boschi and F. Ortolani, Eur. Phys. J. B 41 503 (2004).
67. F. Verstraete and J.I. Cirac, Phys. Rev. B 73 094423 (2006).
68. M.C. Chung and I. Peschel, Phys. Rev. B 62 4191 (2000).
69. Ö. Legeza and J. Sólyom, Phys. Rev. B 70 205118 (2004).
70. S. White, preprint, Phys. Rev. B 72 180403 (2005).
71. M.A. Martín-Delgado and G. Sierra, Int. J. Mod. Phys. A 11 3145 (1996).
72. G. Sierra and M.A. Martín-Delgado, in: The Exact Renormalization Group, edited by A. Krasnitz, R. Potting, Y. A. Kubyshin and P.S. de Sa (World Scientific, Singapore, 1999) (cond-mat/9811170).
73. I. Peschel, J. Phys. A: Math. Gen. 36 L205 (2003).
74. G. Sierra and T. Nishino, Nucl. Phys. B 495 505 (1997) (cond-mat/9610221).
75. W. Tatsuaki, Phys. Rev. E 61 3199 (2000).
76. T. Wada and T. Nishino, in Proc. Conf. Computational Physics 2000 (CCP2000), Gold Coast, Queensland, Australia, 3-8 December 2000, cond-mat/0103508.
77. I.P. McCulloch, M. Gulacsi, S. Caprara and A. Juozapavicius, J. Low Temp. Phys. 117 323 (1999).
78. E. S. Sørensen and I. Affleck, Phys. Rev. B 51 16115 (1995).
79. I.P. McCulloch and M. Gulacsi, Europhys. Lett. 57 852 (2002).
80. I.P. McCulloch, A.R. Bishop and M. Gulacsi, Phil. Mag. B 81 1603 (2001).
81. S. Ramasesha, S. Pati, H.R. Krishnamurthy, Z. Shuai and J.L. Brédas, Phys. Rev. B 54 7598 (1996).
82. S. Ramasesha, S. Pati, H.R. Krishnamurthy, Z. Shuai and J.L. Brédas, Synth. Metals 85 1019 (1997).
83. M.S.L. du Croo de Jongh and J.M.J. van Leeuwen, Phys. Rev. B 57 8494 (1998).
84. H.-H. Lin et al., preprint, cond-mat/0410654.
85. K. Hallberg, Phys. Rev. B 52 9827 (1995).
86. S.R. White and D. Huse, Phys. Rev. B 48 3844 (1993).
87. E.S. Sørensen and I. Affleck, Phys. Rev. B 49 13235 (1994).
88. E.S. Sørensen and I. Affleck, Phys. Rev. B 49 15771 (1994).
89. E. Polizzi, F. Mila and E. Sørensen, Phys. Rev. B 58 2407 (1998).
90. C. Batista, K. Hallberg and A. Aligia, Phys. Rev. B 58 9248 (1998).
91. C. Batista, K. Hallberg and A. Aligia, Phys. Rev. B 60 12553 (1999).
92. K. Hallberg, C. Batista and A. Aligia, Physica B, 259 1017 (1999).
93. E. Jannod, C. Payen, K. Schoumacker, C. Batista, K. Hallberg and A. Aligia, Phys. Rev B 62 2998 (2000).
94. M. Laukamp et al., Phys. Rev. B 5 10755 (1998).
95. T.-K. Ng, J. Lou and Z. Su, Phys. Rev. B 61 11487 (2000).
96. J. Lou, S. Qin, T.-K. Ng, Z. Su and I. Affleck, Phys. Rev. B 62 3786 (2000).
97. S.-W. Tsai and J.B. Marston, Ann. Phys. (Leipzig) 8, Special Issue, 261 (1999).
98. M. Sieling, U. Löw, B. Wolf, S. Schmidt, S. Zvyagin and B. Lüthi, Phys. Rev. B 61 88 (2000).
99. Y. Nishiyama, K. Totsuka, N. Hatano and M. Suzuki, J. Phys. Soc. Jpn 64 414 (1995).
100. S. Qin, T. Ng and Z.-B. Su, Phys. Rev. B 52 12844 (1995).
101. U. Schollwöck and T. Jolicoeur, Europhys. Lett. 30 493 (1995).
102. X. Wang, S. Qin and Lu Yu, Phys. Rev. B. 60 14529 (1999).
103. M. Capone and S. Caprara, Phys. Rev. B 64 184418 (2001).
104. J. Lou, X. Dai, S. Qin, Z. Su and L. Yu, Phys. Rev. B 60 52 (1999).
105. E. Ercolessi, G. Morandi, P. Pieri and M. Roncaglia, Europhys. Lett. 49 434 (2000).
106. S. Qin, X. Wang and Lu Yu, Phys. Rev. B 56 R14251 (1997).
107. M. Rizzi et al., Phys. Rev. Lett. 95 240404 (2005).
108. K. Hallberg, P. Morsch and G. Martínez, Phys. Rev. B 52 R719 (1995).
109. H.E. Boos, V.E. Korepin, Y. Nishiyama and M. Shiroishi, J. Phys. A35 4443 (2002).
110. V.E. Korepin, S. Lukyanov, Y. Nishiyama and M. Shiroishi, Phys. Lett. A 312 21 (2003).
111. M. Shiroishi, M. Takahashi and Y. Nishiyama, J. Phys. Soc. Jpn 70 3535 (2001).
112. T. Hikihara and A. Furusaki, Phys. Rev. B 58 R583 (1998).
113. G. Path, Phys. Rev. B 68 134445 (2003).
114. J. Lou, S. Qin, C. Chen, Z. Su and L. Yu, Phys. Rev. B 65 064420 (2002).
115. J. Lou, S. Qin and C. Chen, Phys. Rev. Lett. 91 087204 (2003).
116. F. Capraro and C. Gros, Eur. Phys. J. B 29 35 (2002).
117. Y. Hieida, K. Okunishi and Y. Akutsu, Phys. Rev. B 64 224422 (2001).
118. T. Byrnes, R. Bursill, H.-P. Eckle, C. Hamer and A. Sandvik, Phys. Rev. B66 195313 (2002).
119. S.-W. Tsai and J.B. Marston, Phys. Rev. B 62 5546 (2000).
120. M.-B. Lepetit, M. Cousy and G. Pastor, Eur. Phys. J. B 13 421 (2000).
121. H. Otsuka, Phys. Rev. B 53 14004 (1996).
122. W. Zhuo, X. Wang and Y. Wang, preprint, cond-mat/0501693.
123. K. Hallberg, X. Wang, P. Horsch and A. Moreo, Phys. Rev. Lett. 76 4955 (1996).
124. A. Moreo, Phys. Rev. B 35 8562 (1987).
125. T. Ziman and H. Schulz, Phys. Rev. Lett 59 140 (1987).
126. Y. Yamashita, N. Shibata and K. Ueda, Phys. Rev. B 58 9114 (1998).
127. Y. Yamashita, N. Shibata and K. Ueda, J. Phys. Soc. Jpn 69 242 (2000).
128. Y. Yamashita, N. Shibata and K. Ueda, Phys. Rev. B 61 4012 (2000).
129. A. Onufriev and B. Marston, Phys. Rev. B 59 12573 (1999).
130. C. Itoi, S. Qin and I. Affleck, Phys. Rev. B 61 6747 (2000).
131. W. Yu and S. Haas, Phys. Rev. B 63 024423 (2001).
132. R.J. Bursill, T. Xiang and G.A. Gehring, J. Phys. A 28 2109 (1994).
133. R.J. Bursill, G.A. Gehring, D.J.J. Farnell, J.B. Parkinson, T. Xiang and C. Zeng, J. Phys. C 7 8605 (1995).
134. U. Schollwöck, Th. Jolicoeur and T. Garel, Phys. Rev. B 53 3304 (1996).
135. R. Chitra, S. Pati, H.R. Krishnamurthy, D. Sen and S. Ramasesha, Phys. Rev. B 52 6581 (1995).
136. S. Pati, R. Chitra, D. Sen, H.R. Krishnamurthy and S. Ramasesha, Europhys. Lett. 33 707 (1996).
137. J. Malek, S. Drechsler, G. Paasch and K. Hallberg, Phys. Rev. B 56 R8467 (1997).
138. E. Sørensen et al., in: Density Matrix Renormalization, Lecture Notes in Physics, edited by I. Peschel, X. Wang, M. Kaulke and K. Hallberg (Springer, Berlin, 1999), Chap.1.2 (Part II) and references therein.
139. D. Augier, E. Sørensen, J. Riera and D. Poilblanc, Phys. Rev. B 60 1075 (1999).
140. Y. Kato and A. Tanaka, J. Phys. Soc. Jpn 63 1277 (1994).
141. S.R. White and I. Affleck, Phys. Rev. B 54 9862 (1996).
142. G. Bouzerar, A. Kampf and G. Japaridze, Phys. Rev. B 58 3117 (1998).
143. G. Bouzerar, A. Kampf and F. Schönfeld, cond-mat/9701176, unpublished.
144. M.-B. Lepetit and G. Pastor, Phys. Rev. B 56 4447 (1997).
145. M. Kaburagi, H. Kawamura and T. Hikihara, J. Phys. Soc. Jpn 68 3185 (1999).
146. T. Hikihara, J. Phys. Soc. Jpn 71 319 (2002).
147. T. Hikihara, M. Kaburagi, H. Kawamura and T. Tonegawa, Phys. Rev. B 63 174430 (2001).
148. S. Pati, S. Ramasesha and D. Sen, Phys. Rev. B 55 8894 (1996).
149. S. Pati, S. Ramasesha and D. Sen, J. Phys. Cond. Matt. 9 8707 (1997).
150. T. Tonegawa, T. Hikihara, T. Nishino, M. Kaburagi, S. Miyashita, H.J. Mikeska, J. Mag. 177-181 647 (1998).
151. M. Azzouz, L. Chen and S. Moukouri, Phys. Rev. B 50 6223 (1994).
152. S.R. White, R.M. Noack and D.J. Scalapino, Phys. Rev. Lett. 73 886 (1994).
153. K. Hida, J. Phys. Soc. Jpn 64 4896 (1995).
154. T. Narushima, T. Nakamura and S. Takada, J. Phys. Soc. Jpn 64 4322 (1995).
155. U. Schollwp̈ck and D. Ko, Phys. Rev. B 53 240 (1996).
156. G. Sierra, M.A. Martin-Delgado, S. White and J. Dukelsky, Phys. Rev. B 59 7973 (1999).
157. S. White, Phys. Rev. B 53 52 (1996).
158. A. Kawaguchi, A. Koga, K. Okunishi and N. Kawakami, Phys. Rev. B 65 214405 (2002).
159. A. Trumper and C. Gazza, Phys. Rev. B 64 134408 (2001).
160. M. Roger, Phys. Rev. B 63 144433 (2001).
161. T. Hikihara and A. Furusaki, Phys. Rev. B 63 134438 (2001).
162. L. Capriotti, D. Scalapino and S. White, Phys. Rev. Lett. 93 177004 (2004).
163. M.A. Martín-Delgado, J. Rodriguez-Laguna and G. Sierra, Phys. Rev. B 72 104435 (2005).
164. A. Laeuchli, G. Schmid and M. Troyer, Phys. Rev. B 67 100409 (2003).
165. T. Hikihara, T. Momoi and X. Hu, Phys. Rev. Lett. 90 087204 (2003).
166. T. Nunner, P. Brune, T. Kopp, M. Windt and M. Grüninger, Phys. Rev. B 66 180404 (2002).
167. Y. Honda and T. Horiguchi, preprint, cond-mat/0106426.
168. S.K. Pati and R.R.P. Singh, Phys. Rev. B 60 7695 (1999).
169. S.R. White and R. Singh, Phys. Rev. Lett. 85 3330 (2000).
170. N. Maeshima, M. Hagiwara, Y. Narumi, K. Kindo, T.C. Kobayashi and K. Okunishi, J. Phys.: Cond. Matt. 15 3607 (2003).
171. N. Maeshima and K. Okunishi, Phys. Rev. B 62 934 (2000).
172. C. Itoi and S. Qin, Phys. Rev. B 63 224423 (2001).
173. J. Lou, J. Dai, S. Qin, Z. Su and L. Yu, Phys. Rev. B 62 8600 (2000).
174. C. Raghu, I. Rudra, S. Ramasesha and D. Sen, Phys. Rev. B 62 9484 (2000).
175. A. Honecker, M. Kaulke and K.D. Schotte, Eur. Phys. J. B 15 423 (2000).
176. A. Gendiar and A. Surda, Phys. Rev. B 62 3960 (2000).
177. H. Otsuka, Y. Okabe and K. Okunishi, Phys. Rev. E 73 035105 (R) (2006).
178. J.-B. Fouet et al., Phys. Rev. B 73 014409 (2006).
179. K. Tandon, S. Lai, S. K. Pati, S. Ramasesha and D. Sen, Phys. Rev. B 59 396 (1999).
180. R. Citro, E. Orignac, N. Andrei, C. Itoi and S. Qin, J. Phys.: Cond. Mat. 12 3041 (2000).
181. J. Lou, C. Chen and S. Qin, Phys. Rev. B 64 144403 (2001).
182. X. Wang and L. Yu, Phys. Rev. Lett. 84 5399 (2000).
183. J. Silva-Valencia and E. Miranda, Phys. Rev. B 65 024443 (2002).
184. J. Silva-Valencia, J.C. Xavier and E. Miranda, Phys. Rev. B 71 024405 (2005).
185. B. Gu, G. Su and S. Gao, J. Phys: Cond. Matt. 17 6081 (2005).
186. S.K. Pati, S. Ramasesha and D. Sen, in Magnetism: Molecules to Materials IV, edited by J.S. Miller and M. Drillon (Wiley-VCH, Weinheim, 2002), Chap. 4 (cond-mat/0106621).
187. L. Chen and S. Moukouri, Phys. Rev. B 53 1866 (1996).
188. S.J. Qin, S.D. Liang, Z.B. Su and L. Yu, Phys. Rev. B 52 R5475 (1995).
189. R. Noack, in: Density Matrix Renormalization, Lecture Notes in Physics, edited by I. Peschel, X. Wang, M. Kaulke and K. Hallberg (Springer, Berlin, 1999), Chap. 1.3 (Part II).
190. S. Daul and R. Noack, Phys. Rev. B 61 12361 (2000).
191. M. Vojta, R. Hetzel and R. Noack, Phys. Rev. B 60 R8417 (1999).
192. K. Penc, K. Hallberg, F. Mila and H. Shiba, Phys. Rev. Lett. 77 1390 (1996).
193. K. Penc, K. Hallberg, F. Mila and H. Shiba, Phys. Rev. B, 55 15475 (1997).
194. N. Bulut, Adv. Phys. 51 1587 (2002).
195. A. Malvezzi, T. Paiva and R. dos Santos, Phys. Rev. B 66 064430 (2002).
196. E. Jeckelmann, Phys. Rev. Lett. 89 236401 (2002).
197. G.P. Zhang, Phys. Rev. B 68 153101 (2003), and erratum in Phys. Rev. B 69 199902(E) (2004).
198. E. Jeckelmann, Phys. Rev. B 71 197101 (2005).
199. G.P. Zhang, Phys. Rev. B 71 197102 (2005).
200. Y.Z. Zhang, C. Wu and H.Q. Lin, Phys. Rev. B 65 115101 (2002).
201. Y.Z. Zhang, C.Q. Wu and H.Q. Lin, Phys. Rev. B 72 125126 (2005).
202. Y.Z. Zhang, Phys. Rev. Lett. 92 246404 (2004).
203. A.P. Kampf, M. Sekania, G.I. Japaridze, Ph. Brune, J. Phys.: Condens. Matter 15 5895 (2003).
204. C. Aebischer, D. Baeriswyl and R. M. Noack, Phys. Rev. Lett. 86 468 (2001).
205. R. Arita and H. Aoki, Phys. Rev. B 61 12261 (2000).
206. R. Arita, Y. Shimoi, K. Kuroki and H. Aoki, Phys. Rev. B 57 10609 (1998).
207. S. Daul, Eur. J. Phys. B 14 649 (2000).
208. S. Qin, J. Lou, T. Xiang, G-S. Tian and Z. Su, Phys. Rev. B 68 045110 (2003).
209. A. Aligia, K. Hallberg, C. Batista and G. Ortiz, Phys. Rev. B 61 7883 (2000).
210. A. Weisse, R. Bursill, C. Hamer and Z. Weihong, preprint, cond-mat/0511528.
211. V. Meden, W. Metzner, U. Schollwöck, O. Schneider, T. Stauber and K. Schoenhammer, Europhys. J. B 16 631 (2000).
212. P. Farkasovsky, Phys. Rev. B 65 081102 (2002).
213. C. Schuster, R. Roemer and M. Schreiber, Phys. Rev. B 65 115114 (2002).
214. K. Hida, Phys. Rev. Lett. 86 1331 (2001).
215. S. Ejima, F. Gebhard and S. Nishimoto, Europhys. Lett. 70 492 (2005).
216. W. Lay and J. Rudnick, Phys. Rev. Lett. 88 057203 (2002).
217. Y. Nishiyama, J. Phys. A 34 11215 (2001).
218. S. G. Chung, Phys. Rev. E 62 3262 (2000).
219. B. Srinivasan and M.B. Lepetit, Phys. Rev. B 66 024421 (2002).
220. H. Sakamoto, T. Momoi and K. Kubo, Phys. Rev. B 65 224403 (2002).
221. J. Xavier, H. Onishi, T. Hotta and E. Dagotto, Phys. Rev. B 73 014405 (2006).
222. L. Hozoi and S. Nishimoto, preprint, cond-mat/0512219.
223. K. Harnacher, C. Gros and W. Wenzel, Phys. Rev. Lett. 88 217203 (2002).
224. M. Vojta, A. Huebsch and R.M. Noack, Phys. Rev. B 63 045105 (2001).
225. Z. Weihong, J. Oitmaa, C.J. Hamer and R.J. Bursill, J. Phys. C 13 433 (2001).
226. Youngho Park, S. Liang and T.K. Lee, Phys. Rev. B 59 2587 (1999).
227. Y. Yan, S. Mazumdar and S. Ramasesha, preprint, cond-mat/0601481.
228. B. Edegger, H. Evertz and R. Noack, preprint, cond-mat/0510325.
229. S. Rommer, S.R. White and D.J. Scalapino, Phys. Rev. B 61 13424 (2000).
230. G. Hager et al., preprint, Phys. Rev. B 71 075108 (2005).
231. J.O. Fjaerestad, J.B. Marston and U. Schollwöck, Ann. Phys. (NY) 321 894 (2006).
232. B. Edegger, H.G. Evertz and R.M. Noack, Phys. Rev. B 72 085131 (2005).
233. G. Roux et al., Phys. Rev. B 72 014523 (2005).
234. R.M. Noack, S.R. White and D.J. Scalapino, Phys. Rev. Lett. 73 882 (1994).
235. S.R. White, R.M. Noack and D.J. Scalapino, J. Low Temp. Phys. 99 593 (1995).
236. R.M. Noack, S.R. White and D.J. Scalapino, Europhys. Lett. 30 163 (1995).
237. C.A. Hayward, D. Poilblanc, R.M. Noack, D.J. Scalapino and W. Hanke, Phys. Rev. Lett. 75 926 (1995).
238. S. White and D. Scalapino, Phys. Rev. Lett. 81 3227 (1998).
239. E. Jeckelmann, D. Scalapino and S. White, Phys. Rev. B 58 9492 (1998).
240. S. Nishimoto, E. Jeckelmann and D. Scalapino, Phys. Rev. B 66 245109 (2002).
241. J.B. Marston, J.O. Fjaerestad and A. Sudbo, Phys. Rev. Lett. 89 056404 (2002).
242. U. Schollwöck, S. Chakravarty, J.O. Fjaerestad, J.B. Marston and M. Troyer, Phys. Rev. Lett. 90 186401 (2003).
243. L.G. Caron and C. Bourbonnais, Phys. Rev. B 66 045101 (2002).
244. G. Fano, F. Ortolani, A. Parola and L. Ziosi, Phys. Rev. B 60 15654 (1999).
245. N. Shibata and D. Yoshioka, Phys. Rev. Lett. 86 5755 (2001).
246. N. Shibata and D. Yoshioka, Physica E 12 43 (2002).
247. N. Shibata and D. Yoshioka, J. Phys. Soc. Jpn 75 043712 (2006).
248. V. Meden and U. Schollwöck, Phys. Rev. B 67 035106 (2003).
249. F. Carvalho Dias, I. Pimentel and M. Henkel, Phys. Rev. B 73 075109 (2006).
250. T.A. Costi, P. Schmitteckert, J. Kroha and P. Wölfle, Phys. Rev. Lett. 73 1275 (1994).
251. S. Eggert and I. Affleck, Phys. Rev. Lett. 75 934 (1995).
252. E.S. Sørensen and I. Affleck, Phys. Rev. B 51 16115 (1995).
253. X.Q. Wang and S. Mallwitz, Phys. Rev. B 53 R492 (1996).
254. W. Wang, S.J. Qin, Z.Y. Lu, L. Yu and Z.B. Su, Phys. Rev. B 53 40 (1996).
255. C.C. Yu and M. Guerrero, Phys. Rev. B 54 15917 (1996).
256. A. Furusaki and T. Hikihara, Phys. Rev. B 58 5529 (1998).
257. K. Hallberg and R. Egger, Phys. Rev. B 55 8646 (1997).
258. C. Schuster and U. Eckern, Ann. Phys. (Leipzig) 11, 901-915 (2002).
259. W. Zhang, J. Igarashi and P. Fulde, Phys. Rev. B 56 654 (1997).
260. V. Meden, W. Metzner, U. Schollwöck and K. Schoenhammer, Phys. Rev. B 65 045318 (2002).
261. S. Andergassen et al., Phys. Rev. B 73 045125 (2006).
262. C.C. Yu and S.R. White, Phys. Rev. Lett. 71 3866 (1993).
263. C.C. Yu and S.R. White, Physica B 199 454 (1994).
264. S. Moukouri and L.G. Caron, Phys. Rev. B 52 15723 (1995).
265. N. Shibata, T. Nishino, K. Ueda and C. Ishii, Phys. Rev. B 53 R8828 (1996).
266. M. Guerrero and R.M. Noack, Phys. Rev. B 53 3707 (1996).
267. H. Otsuka and T. Nishino, Phys. Rev. B 52 15066 (1995).
268. S. Moukouri, L.G. Caron, C. Bourbonnais and L. Hubert, Phys. Rev. B 51 15920 (1995).
269. J.C. Xavier, E. Novais and E. Miranda, Phys. Rev. B 65 214406 (2002).
270. T. Yamamoto, R. Manago and Y. Mori, J. Phys. Soc. Jpn 72 3204 (2003).
271. I.P. McCulloch, A. Juozapavicius, A. Rosengren and M. Gulacsi, Phys. Rev. B 65 052410 (2002).
272. M. Guerrero and R.M. Noack, Phys. Rev. B 63 144423 (2001).
273. S. Watanabe, J. Phys. Soc. Jpn 69 2947 (2000).
274. J. Xavier, R. Pereira, E. Miranda and I. Affleck, Phys. Rev. Lett. 90 247204 (2003).
275. S. Watanabe, M. Imada and K. Miyake, J. Phys. Soc. Jpn. 75 043710 (2006).
276. S. Watanabe, Y. Kuramoto, T. Nishino and N. Shibata, J. Phys. Soc. Jpn 68 159 (1999).
277. J. Moreno, S. Qin, P. Coleman and L. Yu, Phys. Rev. B 64 085116 (2001).
278. T. Schauerte et at., Phys. Rev. Lett. 94 147201 (2005).
279. S. Moukouri, L. Chen and L.G. Caron, Phys. Rev. B 53 R488 (1996).
280. J. Riera, K. Hallberg and E. Dagotto, Phys. Rev. Lett. 79 713 (1997).
281. E. Dagotto et al., Phys. Rev. B 58 6414 (1998).
282. D. García, K. Hallberg, C. Batista, M. Avignon and B. Alascio, Phys. Rev Lett., 85 3720 (2000).
283. D. J. Garcia, K. Hallberg, C.D. Batista, S. Capponi, D. Poilblanc, M. Avignon and B. Alascio, Phys. Rev. B. 65 134444 (2002).
284. B. Ammon and M. Imada, J. Phys. Soc. Jpn 70 547 (2001).
285. D. Neuber et al., Phys. Rev. B 73 014401 (2006).
286. D. Garcia, K. Hallberg, B. Alascio and M. Avignon, Phys. Rev. Lett., 93 17, 177204 (2004).
287. I.P. McCulloch, A. Juozapavicius, A. Rosengren and M. Gulacsi, Phys. Rev. B, 65 52410 (2002).
288. K. Hida, J. Phys. Soc. Jpn 65 895 (1996) and 65 3412 (1996) (erratum).
289. K. Hida, J. Phys. Soc. Jpn 66 330 (1997).
290. K. Hida, J. Phys. Soc. Jpn 66 3237 (1997).
291. K. Hida, Prog. Theor. Phys. Suppl. 145 320 (2002).
292. K. Hida, preprint, cond-mat/0602016.
293. P. Lajkó, E. Carlon, H. Rieger and F. Iglói, Phys. Rev. B 72 094205 (2005).
294. K. Hida, J. Phys. Soc. Jpn 68 3177 (1999).
295. K. Hida, Phys. Rev. Lett. 83 3297 (1999).
296. F. Igloi, R. Juhasz and P. Lajko, Phys. Rev. Lett. 86 1343 (2001).
297. R. Mélin, Y.-C. Lin, P. Lajkó, H. Rieger and F. Iglói, Phys. Rev. B 65 104415 (2002).
298. P. Schmitteckert, T. Schulze, C. Schuster, P. Schwab and U. Eckern, Phys. Rev. Lett. 80 560 (1998).
299. P. Schmitteckert and U. Eckern, Phys. Rev. B 53 15397 (1996).
300. D. Weinmann, P. Schmitteckert, R. Jalabert and J. Pichard, Eur. Phys. J. B 19 139 (2001).
301. P. Schmitteckert, R. Jalabert, D. Weinmann and J.L. Pichard, Phys. Rev. Lett. 81 2308 (1998).
302. E. Gambetti, Phys. Rev. B 72 165338 (2005).
303. E. Carlon, P. Lajko and F. Iglói, Phys. Rev. Lett. 87 277201 (2001).
304. I. Maruyama, N. Shibata and K. Ueda, J. Phys. Soc. Jpn 73 3239 (2004).
305. I. Maruyama, N. Shibata and K. Ueda, J. Phys. Soc. Jpn 73 434 (2004).
306. M. Sade et al., Phys. Rev. B 71 153301 (2005).
307. R. Berkovits, F. von Oppen and Y. Gefen, Phys. Rev. Lett. 94 076802 (2005).
308. F. Ye etal, Phys. Rev. B 72 233409 (2005).
309. A.L. Chernyshev, A. H. Castro Neto and S. White, Phys. Rev. Lett. 94 036407 (2005).
310. B. Paredes et al., Nature 429 277 (2004).
311. T. Kinoshita, T. Wenger and D.S. Weiss, Science 305 1125 (2004).
312. B. Schmidt, L. Plimak and M. Fleischhauer, Phys. Rev. A 71 041601 (2005).
313. X.-L. Deng, D. Porras and J. Cirac, Phys. Rev. B 72 075351 (2005).
314. T. Oka and N. Nagaosa, Phys. Rev. Lett. 95 266409 (2005).
315. L. Caron and S. Moukouri, Phys. Rev. Lett. 76 4050 (1996).
316. L. Caron and S. Moukouri, Phys. Rev. B 56 R8471 (1997).
317. E. Jeckelmann and S. White, Phys. Rev. B 57 6376 (1998).
318. R. Noack, S. White and D. Scalapino, in: Computer Simulations in Condensed Matter Physics VII, edited by D. Landau, K.-K. Mon and H.-B. Schuttler (Springer Verlag, Heidelberg, 1994).
319. E. Jeckelmann, C. Zhang and S. White, in: Density Matrix Renormalization, Lecture Notes in Physics, edited by I. Peschel, X. Wang, M. Kaulke and K. Hallberg (Springer, Berlin, 1999), Chap. 5.1 (II).
320. E. Jeckelmann and H. Fehske, Proc. of the Int. School of Phys. "Enrico Fermi", Varenna Italy (2005).
321. M. Tezuka, R. Arita and H. Aoki, Phys. Rev. Lett. 95 226401 (2005).
322. M. Tezuka, R. Arita and H. Aoki, Physica B 359-361 708 (2005).
323. C. Zhang, E. Jeckelmann and S. White, Phys. Rev. Lett. 80 2661 (1998).
324. E. Jeckelmann, C. Zhang and S. R. White, Phys. Rev. B 60 7950 (1999).
325. H. Matsueda, T. Tohyama and S. Maekawa, preprint, cond-mat/0511068.
326. Y. Nishiyama, Phys. Rev. B 64 064510 (2001).
327. Y. Nishiyama, Eur. Phys. J. B 12 547 (1999).
328. W. Barford and R. J. Bursill, Phys. Rev. Lett. 95 137207 (2005).
329. R. Bursill, Y. McKenzie and C. Hammer, Phys. Rev. Lett. 80 5607 (1998).
330. R. Bursill, Y. McKenzie and C. Hammer, Phys. Rev. Lett. 83 408 (1999).
331. R. Bursill, Phys. Rev. B 60 1643 (1999).
332. R. Pai, R. Pandit, H. Krishnamurthy and S. Ramasesha, Phys. Rev. Lett. 76 2937 (1996).
333. N.V. Prokof'ev and B. V. Svistunov, Phys. Rev. Lett. 80 4355 (1998).
334. S. Rapsch, U. Schollwöck and W. Zwerger, Europhys. Lett. 46 559 (1999).
335. T. Kühner and H. Monien, Phys. Rev. B 58 R 14741 (1998).
336. I. Peschel and M.-C. Chung, J. Phys. A: Math. Gen. 32 8419 (1999).
337. P. Maurel and M.-B. Lepetit, Phys. Rev. B 62 10744 (2000).
338. P. Maurel, M.-B. Lepetit and D. Poilblanc, Eur. Phys. J. B 21 481 (2001).
339. T. Xiang, Phys. Rev. B 53 R 10445 (1996).
340. S. Nishimoto, E. Jeckelmann, F. Gebhard and R. Noack, Phys. Rev. B 65 165114 (2002).
341. D. Porras, F. Verstraete and J.I. Cirac, Phys. Rev. B 73 014410 (2006).
342. J. Dukelsky and G. Sierra, Phys. Rev. Lett. 83 172 (1999).
343. J. Dukelsky and G. Sierra, Phys. Rev. B 61 12302 (2000).
344. J. Dukelsky and S. Pittel, Phys. Rev. C 63 R061303 (2001).
345. J. Dukelsky and S. Pittel, Rep. Prog. Phys. 67 513 (2004).
346. S. Pittel et al., Rev. Mex. Fis. 49S4 82 (2003).
347. D. Gobert, M. Schechter, U. Schollwöck and J. Von Delft, Phys. Rev. Lett. 93 186402 (2004).
348. D. Gobert, U. Schollwöck and J. Von Delft, Eur. Phys. J. B 38 501 (2004).
349. J. Dukelsky and G. Dussel, Phys. Rev. C 59 R3005 (1999).
350. J. Dukelsky and S. Pittel, Phys. Rev. C 63 R061303 (2001).
351. J. Dukelsky, S. Pittel, S.S. Dimitrova and M.V. Stoitsov, Phys. Rev. C 65 054319 (2002).
352. T. Papenbrock and D.J. Dean, J. Phys. G 31 S1377 (2005).
353. J. Rotureau et al., preprint, cond-mat/0603021.
354. M.A. Martin-Delgado and G. Sierra, Phys. Rev. Lett. 83 1514 (1999).
355. S. Glazek and K. Wilson, Phys. Rev. D 48 5863 (1993).
356. S. Glazek and K. Wilson, Phys. Rev. D 49 4214 (1994).
357. T. Eller, H.-C. Pauli and S. Brodsky, Phys. Rev. D 35 1493 (1987).
358. G. Fano, F. Ortolani and L. Ziosi, J. Chem. Phys. 108 9246 (1998) (cond-mat/9803071).
359. R. Bursill and W. Barford, Phys. Rev. Lett. 82 1514 (1999).
360. R. Bursill and W. Barford, preprint, cond-mat/0512649.
361. E. Moore, W. Barford and R. Bursill, Phys. Rev. B 71 115107 (2005).
362. A. Race, W. Barford and R.J. Bursill, Phys. Rev. B 67 245202 (2003).
363. S. Ramasesha, S.K. Pati, Z. Shuai and J.L. Br'edas, Adv. Quantum Chem. 38 121 (2000).
364. M. Exler and J. Schnack, Phys. Rev. B 67 094440 (2003).
365. B. Normand, X. Wang, X. Zotos and D. Loss, Phys. Rev. B 63 184409 (2001).
366. C. Timm and U. Schollwöck, Phys. Rev. B 71 224414 (2005).
367. C. Raghu, Y. Anusooya Pati and S. Ramasesha, J. Phys. A 34 11215 (2001).
368. W. Barford and R. Bursill, Chem. Phys. Lett. 268 535 (1997).
369. W. Barford, R. Bursill and M. Lavrentiev, J. Phys: Cond. Matt, 10 6429 (1998).
370. W. Barford, in: Density Matrix Renormalization, Lecture Notes in Physics, edited by I. Peschel, X. Wang, M. Kaulke and K. Hallberg (Springer, Berlin, 1999), Chap.2.3 (Part II) and references therein.
371. M. Lavrentiev, W. Barford, S. Martin, H. Daly, R. Bursill, Phys. Rev. B 59 9987 (1999).
372. R Bursill and W. Barford, Phys. Rev. B 66 205112 (2002).
373. E. Carlon, A. Drzewinski and J. van Leeuwen, J. Chem. Phys. 117 2425 (2002).
374. E. Carlon, A. Drzewinski and J. van Leeuwen, Phys. Rev. E 64 010801 (R) (2001).
375. M. Paessens and G. Schütz, Phys. Rev. E 66 021806 (2002).
376. M.A. Martín-Delgado, J. Rodriguez-Laguna and G. Sierra, Phys. Rev. B 65 155116 (2002).
377. S. White and R. Martin, J. Chem. Phys. 110 4127 (1999).
378. S. White, in: Density Matrix Renormalization, Lecture Notes in Physics, edited by I. Peschel, X. Wang, M. Kaulke and K. Hallberg (Springer, Berlin, 1999), Chap. 2.1.
379. S. White, in: Density Matrix Renormalization, Lecture Notes in Physics, edited by I. Peschel, X. Wang, M. Kaulke and K. Hallberg (Springer, Berlin, 1999), Chap. 2.1.
380. O. Legeza, J. Röder and B.A. Hess, Phys. Rev. B 67 125114 (2003).
381. O. Legeza, J. Röder and B.A. Hess, Mol. Phys. 101 2019 (2003).
382. S. Daul, I. Ciofini, C. Daul and S.R. White, Int. J. Quantum Chem. 79 331 (2000).
383. C. Bauschlicher and P. Taylor, J. Chem. Phys. 85 2779 (1986).
384. A.O. Mitrushenkov et al., J. Chem Phys. 115 6815 (2001).
385. G.K.-L. Chan and M. Head-Gordon, J. Chem Phys. 116 4462 (2002).
386. S. Liang and H. Pang, Europhys. Lett. 32 173 (1995).
387. S. Liang and H. Pang, Phys. Rev. B 49 9214 (1994).
388. S. White and D. Scalapino, Phys. Rev. B 55 14701 (1997).
389. S. White and D. Scalapino, Phys. Rev. B 55 6504 (1997).
390. S. White and D. Scalapino, Phys. Rev. B 57 3031 (1998).
391. E. Arrigoni, A.P. Harju, W. Hanke, B. Brendel and S.A. Kivelson, Phys. Rev. B 65 134503 (2002).
392. J. Bonca, J.E. Gubernatis, M. Guerrero, E. Jeckelmann and S.R. White, Phys. Rev. B 61 3251 (2000).
393. A.L. Chernyshev, S. White and A.H. Castro Neto, Phys. Rev. B, 65 214527 (2002).
394. S. White and D. Scalapino, Phys. Rev. B 61 6320 (2000).
395. S. White and D. Scalapino, Phys. Rev. B 70 220506 (2004).
396. S. White and D. Scalapino, Phys. Rev. Lett. 80 1272 (1998).
397. S. White and D. Scalapino, Phys. Rev. B 61 6320 (2000).
398. I.P. McCulloch, A.R. Bishop and M. Gulacsi, Phil. Mag. B 81 1603 (2001).
399. S.R. White and I. Affleck, Phys. Rev. B 64 024411 (2001).
400. M.Q. Weng, et al., preprint, cond-mat/0508186.
401. T. Xiang, J. Lou and Z. Su, Phys. Rev. B 64 104414 (2001).
402. N. Maeshima, Y. Hieida, Y. Akutsu, T. Nishino and K. Okunishi, Phys. Rev. E 64 016705 (2001).
403. M.A. Martin-Delgado, J. Rodriguez-Laguna and G. Sierra, Nucl. Phys. B 601 569 (2001).
404. P. Henelius, Phys. Rev. B 60 9561 (1999).
405. D.J.J. Farnell, Phys. Rev. B 68 134419 (2003).
406. S. Moukouri and L.G. Caron, Phys. Rev. B 67 092405 (2003).
407. J.V. Alvarez and S. Moukouri, Int. J. Mod. Phys. C 16 843 (2005).
408. S. Moukouri, J. Stat. Mech. P02002 (2006).
409. S. Moukouri, Phys. Rev. B 70 014403 (2004).
410. N. Shibata, J. Phys. A, 36 381 (2003).
411. F. Verstraete et al., preprint, cond-mat/0504305.
412. U. Schollwöck, J. Phys. Soc. Jpn 74 (Suppl) 246 (2005).
413. S. Manmana, A. Muramatsu and R. Noack, AIP Conf. Proc. 789 269 (2005), cond-mat/ 0502396.
414. M.A. Cazalilla and J.B. Marston, Phys. Rev. Lett. 88 256403 (2002).
415. W.H. Press et al., Numerical Recipes in C++, 2nd edn (Cambridge University Press, Cambridge, 1993).
416. A. Daley, C. Kollath, U. Schollöck and G. Vidal, J. Stat. Mech.: Theor. Exp. P04005 (2004).
417. H.G. Luo, T. Xiang and X.Q. Wang, Phys. Rev. Lett. 91 049701 (2003) (comment to [414]).
418. M.A. Cazalilla and J.B. Marston, Phys. Rev. Lett. 91 049702 (2003) (response to comment in [417]).
419. P. Schmitteckert, Phys. Rev. B 70 121302 (2004).
420. G. Schneider and P. Schmitteckert, preprint, cond-mat/0601389.
421. A. Feiguin and S. White, Phys. Rev. B 72 020404 (2005).
422. S. White and A. Feiguin, Phys. Rev. Lett. 93 076401 (2004).
423. G. Vidal, Phys. Rev. Lett. 91 147902 (2003).
424. G. Vidal, Phys. Rev. Lett. 93 040502 (2004).
425. D. Gobert et al., Phys. Rev. E 71 036102 (2005).
426. C. Kollath et al., Phys. Rev. A 71 053606 (2005).
427. S.R. Clark and D. Jaksch, Physical Review A, 70 043612 (2004).
428. C. Kollath, U. Schollwöck and W. Zwerger, Phys. Rev. Lett. 95 176401 (2005).
429. E.A. Jagla, K. Hallberg and C.A. Balseiro, Phys. Rev. B 47 5849 (1993).
430. T. Oka and H. Aoki, Phys. Rev. Lett. 95 137601 (2005).
431. K.A. Al-Hassanieh et al., preprint cond-mat/0601411.
432. A. Micheli, A.J. Daley, D. Jaksch and P. Zoller, Phys. Rev. Lett. 93 140408 (2004).
433. T. Kühner and S. White, Phys. Rev. B 60 335 (1999).
434. Y. Anusooya, S. Pali and S. Ramasesha, J. Chem. Phys. 106 1 (1997).
435. S. Ramasesha, K. Tandon, Y. Anusooya and S. Pati, Proc. of SPIE, 3145 282 (1997).
436. S. Ramasesha, Z. Shuai and J. Brédas, Chem. Phys. Lett. 245 224 (1995).
437. E. Jeckelmann, Phys. Rev. B 66 045114 (2002).
438. E.R. Gagliano and C.A. Balseiro, Phys. Rev. Lett. 59 2999 (1987).
439. G. Grosso and G. Partori Parravicini, in: Memory Function Approaches to Stochastic Problems in Condensed Matter, Advances in Chemical Physics, 62 133 (Wiley, New York, 1985)
440. P. Horsch and W. von der Linden, Z. Phys. B 72 181 (1981).
441. Y. Nishiyama, Eur. J. Phys. B 12 547 (1999).
442. C.L. Zhang, E. Jeckelmann and S. White, Phys. Rev. B 60 14092 (1999).
443. W.Q. Yu and S. Haas, Phys. Rev. B 63 024423 (2000).
444. K. Okunishi, Y. Akutsu, N. Akutsu and T. Yamamoto, Phys. Rev. B 64 104432 (2001).
445. S.S. Kancharla and C.J. Bolech, Phys. Rev. B 64 085119 (2001).
446. H. Matsueda et al., Phys. Rev. B 72 075136 (2005).
447. T. Hand, J. Kroha and H. Monien, preprint, cond-mat/0602352.
448. F. Essler, F. Gebhard and E. Jeckelmann, Phys. Rev. B 64 125119 (2001).
449. E. Jeckelmann, F. Gebhard and F. Essler, Phys. Rev. Lett. 85 3910 (2000).
450. E. Jeckelmann, Phys. Rev. B 67 075106 (2003).
451. Y.-J Kim et al., Phys. Rev. Lett. 92 137402 (2004).
452. J. Rissler, F. Gebhard and E. Jeckelmann, J. Phys.: Cond. Matt. 17 4093 (2005).
453. H. Benthien, F. Gebhard and E. Jeckelmann, Phys. Rev. Lett. 92 256401 (2004).
454. S. Nishimoto and E. Jeckelmann, J. Phys.: Cond. Matt. 16 613 (2004).
455. S. Nishimoto, T. Pruschke and R. Noack, J. Phys.: Cond. Matt 18 981 (2006).
456. S.K. Pati and R. Singh, Phys. Rev. B 60 7695 (1999).
457. T.D. Kühner, S. White and H. Monien, Phys. Rev. B 61 12474 (2000).
458. C. Raas, G. Uhrig and F.B. Anders, Phys. Rev. B 69 041102(R) (2004).
459. C. Raas and G. Uhrig, Eur. J. Phys. B45(3), 293 (2005).
460. D. Bohr, P. Schmitteckert and P. Wölfle, Europhys. Lett. 73 246 (2006).
461. W. Hofstetter, Phys. Rev. Lett. 85 1508 (2000).
462. T. Nishino, J. Phys. Soc. Jpn 64 3598 (1995).
463. T. Nishino, in: Density Matrix Renormalization, Lecture Notes in Physics, edited by I. Peschel, X. Wang, M. Kaulke and K. Hallberg (Springer, Berlin, 1999), Chap. 5(I).
464. T. Nishino and K. Okunishi, in: Strongly Correlated Magnetic and Superconducting Systems, edited by G. Sierra and M. A. Martín-Delgado (Springer, Berlin, 1997).
465. H. Trotter, Proc. Am. Math. Soc. 10 545 (1959).
466. M. Suzuki, Prog. Theor. Phys. 56 1454 (1976).
467. R. Feynman and A. Hibbs, Quantum Mechanics and Path Integrals (McGraw-Hill, New York, 1965).
468. R. Bursill, T. Xiang and G. Gehring, J. Phys. Cond. Mat. 8 L583 (1996).
469. X.Q. Wang and T. Xiang, Phys. Rev. B 56 5061 (1997).
470. N. Shibata, J. Phys. Soc. Jpn 66 2221 (1997).
471. A. Gendiar and A. Surda, Phys. Rev. B 63 014401 (2001).
472. T. Nishino and N. Shibata, J. Phys. Soc. Jpn 68 3501 (1999).
473. T. Enss and U. Schollwöck, J. Phys. A 34 7769 (2001).
474. A. Kemper, A. Schadschneider and J. Zittartz, J. Phys. A; Math. Gen. 34 L279 (2001).
475. T. Enss and U. Schollwöck, J Phys A: Math. Gen. 34 7769 (2001).
476. R. Baxter, J. Math. Phys. 9 650 (1968).
477. R. Baxter, J. Stat Phys. 19 461 (1978).
478. T. Nishino and K. Okunishi, J. Phys. Soc. Jpn 65 891 (1996).
479. T. Nishino and K. Okunishi, J. Phys. Soc. Jpn 66 3040 (1997).
480. T. Nishino, K. Okunishi and M. Kikuchi, Phys. Lett. A 213 69 (1996).
481. H. Takasaki, T. Nishino and Y. Hieida, J. Phys. Soc. Jpn 70 1429 (2001).
482. T. Nishino, Y. Hieida, K. Okunishi, N. Maeshima, Y. Akutsu and A. Gendiar, Prog. Theor. Phys. 105 409 (2001).
483. C. Ritter and G. von Gehlen, in: Quantization, Gauge Theory and Strings, edited by A. Semikhatov et al., Vol. I (Scientific World, Singapore: 2001), pp. 563-578, (cond-mat/0009255).
484. K. Ueda et al., J. Phys. Soc. Jpn. Suppl. 74 111 (2005).
485. K. Ueda et al., J. Phys. Soc. Jpn. 74 1871 (2005).
486. K. Ueda et al., preprint, cond-mat/0509320 J. Phys. Soc. Jpn. 75 014003 (2006).
487. N. Shibata and K. Ueda, J. Phys. Soc. Jpn 70 3690 (2001).
488. T. Nishino and K. Okunishi, J. Phys. Soc. Jpn 67 3066 (1998).
489. T. Nishino, K. Okunishi, Y. Hieida, N. Maeshima and Y. Akutsu, Nucl. Phys. B 575 504 (2000).
490. K. Okunishi, J. Phys. Soc. Jpn 74 3186 (2005).
491. E. Carlon and A. Drzewinski, Phys. Rev. Lett. 79 1591 (1997).
492. E. Carlon and A. Drzewinski, Phys. Rev. E 57 2626 (1998).
493. E. Carlon, A. Drzewitiski and J. Rogiers, Phys. Rev. B 58 5070 (1998).
494. A. Drzewinski, A. Ciach and A. Maciolek, Eur. Phys. J. B 5 825 (1998).
495. A. Maciolek, A. Ciach and A. Drzewiński, Phys. Rev. E 60 2887 (1999).
496. A. Drzewiński, A. Maciolek and R. Evans, Phys. Rev. Lett. 85 3079 (2000).
497. A. Drzewiński, Phys. Rev. E 62 4378 (2000).
498. M.-C. Chung, M. Kaulke, I. Peschel, M. Pleimling and W. Selke, Eur. Phys. J. B 18 655 (2000).
499. E. Carlon and F. Iglói, Phys. Rev. B 57 7877 (1998).
500. F. Iglói and E. Carlon, Phys. Rev. B 59 3783 (1999).
501. E. Carlon, C. Chatelain and B. Berche, Phys. Rev. B 60 12974 (1999).
502. J. Kondev and J. Marston, Nucl. Phys. B 497 639 (1997).
503. T. Senthil, B. Marston and M. Fisher, Phys. Rev. B 60 4245 (1999).
504. J. Marston and S. Tsai, Phys. Rev. Lett. 82 4906 (1999).
505. S. Tsai and J. Marston, Ann. Phys. (Leipzig) 8 Special Issue, 261 (1999).
506. M. Kaulke and I. Peschel, Eur. Phys. J. B 5 727 (1998).
507. Y. Hieida, J. Phys. Soc. Jpn 67 369 (1998).
508. E. Carlon, M. Henkel and U. Schollwöck, Eur. Phys. J. B 12 99 (1999).
509. E. Carlon, M. Henkel and U. Schollwöck, Phys. Rev. E 63 036101 (2001).
510. J. Hooyberghs, E. Carlon and C. Vanderzande, Phys. Rev. E 62 036124 (2001).
511. S.G. Chung, Phys. Rev. B 60 11761 (1999).
512. Y. Nishiyama, Phys. Rev. E 72 036104 (2005).
513. Y. Nishiyama, Phys. Rev. E 66 061907 (2002).
514. Y. Nishiyama, Phys. Rev. E 68 31901 (2003).
515. S. Moukouri and L. Caron, Phys. Rev. Lett. 77 4640 (1996).
516. S. Moukouri and L. Caron, in: Density Matrix Renormalizaiion, Lecture Notes in Physics, edited by I. Peschel, X. Wang, M. Kaulke and K. Hallberg (Springer, Berlin, 1999), Chap. 4.5(II).
517. S. Moukouri, preprint, cond-mat/0011169.
518. W. Zhang, J. Igarashi and P. Fulde, J. Phys. Soc. Jpn 66 1912 (1997).
519. R. Bursill, T. Xiang and G. Gehring, J. Phys. C 8 L583 (1996).
520. H. Trotter, Proc. Am. Math. Soc. 10 545 (1959).
521. M. Suzuki, Prog. Theor. Phys. 56 1454 (1976).
522. X. Wang and T. Xiang, Phys. Rev. B 56 5061 (1997).
523. N. Shibata, J. Phys. Soc. Jpn 66 2221 (1997).
524. T. Xiang, Phys. Rev. B 58 9142 (1998).
525. N. Shibata, B. Ammon, T. Troyer, M. Sigrist and K. Ueda, J. Phys. Soc. Jpn 67 1086 (1998).
526. K. Maisinger, U. Schollwöck, S. Brehmer, H.-J. Mikeska and S. Yamamoto, Phys. Rev. B 58 R5908 (1998).
527. S. Romraer and S. Eggert, Phys. Rev. B 59 6301 (1999).
528. I. Maruyama, N. Shibata and K. Ueda, Phys. Rev. B 65 174421 (2002).
529. K. Maisinger and U. Schollwöck, Phys. Rev. Lett. 81 445 (1999).
530. B. Ammon, M. Troyer, T. Rice and N. Shibata, Phys. Rev. Lett. 82 3855 (1999).
531. N. Shibata and H. Tsunetsugu, J. Phys. Soc. Jpn 68 3138 (1999).
532. F. Naef and X. Wang, Phys. Rev. Lett. 84 1320 (2000).
533. A. Klümper, R. Raupach and F. Schönfeld, Phys. Rev. B 59 3612 (1999).
534. J. Sirker and A. Klümper, Phys. Rev. B 66 245102 (2002).
535. Y. Ohta, T. Nakaegawa and S. Ejima, Phys. Rev. B 73 045101 (2006).
536. F. Verstraete, J. J. García Ripoll and J.I. Cirac, Phys. Rev. Lett. 93 207204 (2004).
537. M. Zwolak and G. Vidai, Phys. Rev. Lett. 93 207205 (2004).
538. A. Feiguin and S. White, Phys. Rev. B 72 220401 (2005).
539. X. Wang, K. Hallberg and F. Naef, in: Density Matrix Renormalization, Lecture Notes in Physics, edited by I. Peschel, X. Wang, M. Kaulke and K. Hallberg (Springer, Berlin, 1999), Chap. 7(I).
540. T. Mutou, N. Shibata and K. Ueda, Phys. Rev. Lett 81 4939 (1998); erratum in Phys. Rev. Lett. 82 3727 (1999).
541. F. Naef, X. Wang, X. Zotos and W. von der Linden, Phys. Rev. B 60 359 (1999).
542. J. Sirker and A. Klümper, Phys. Rev. B 71 241101 (2005).
543. G. Kotliar and D. Vollhardt, Phys. Today 57 53 (2004).
544. J.E. Hirsch and R.M. Fye, Phys. Rev. Lett. 56 2521 (1986).
545. M.J. Rozenberg, Phys. Rev. B 55 R4855 (1997).
546. R. Bulk, Phys. Rev. Lett. 83 136 (1999).
547. R. Bulk, T. Costi and D. Vollhardt, Phys. Rev. B 64 045103 (2001).
548. D. Garcia, K. Hallberg and M. Rozenberg, Phys. Rev. Lett. 93 246403 (2004).
549. A. Georges, G. Kotliar, W. Krauth and M.J. Rozenberg, Rev. Mod. Phys. 68 13 (1996).
550. Q. Si, M.J. Rozenberg, G. Kotliar, and A.E. Ruckenstein Phys. Rev. Lett. 72 2761 (1994).
551. M.J. Rozenberg, G. Moeller and G. Kotliar, Mod. Phys. Lett. B 8 535 (1994).
552. F. Gebhard, E. Jeckelmann, S. Mahlert, S. Nishimoto and R. Noack, Eur. Phys. J. B 36 491 (2003).
553. S. Nishimoto, F. Gebhard and E. Jeckelmann, J. Phys.: Cond. Matt. 16 7063 (2004).
554. A. Georges and G. Kotliar, Phys. Rev. B 45 6479 (1992).
555. X.Y. Zhang, M.J. Rozenberg and G. Kotliar, Phys. Rev. Lett. 70 1666 (1993).
556. A. Georges and W. Krauth, Phys. Rev. B 48 7167 (1993).
557. F. Alet et al., preprint cond-mat/0410407. http://alps.comp-phys.org/
558. D. Garcia, E. Miranda, K. Hallberg and M. Rozenberg, work in progress.