Advances in many-body valence-bond theory

Theoretical and Computational Chemistry

Volumn 6, Issue C, 1999, Pages 403-421

  Klein, D J ^a  

^a TEXAS A AND M UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0004623360     PISSN: 13807323     EISSN: None     Source Type: Book Series    
DOI: 10.1016/S1380-7323(99)80016-8     Document Type: Article

References (220)

1. Leicester H.M. J. Chem. Ed. 36 (1959) 328
2. Larder D.F. J. Chem. Ed. 44 (1967) 661
3. Pauling L. J. Chem. Ed. 61 (1984) 201
4. in chap. 1 of. La Paglia S.R. Introductory Quantum Chemistry (1971), Harper & Row, New York
5. Klein D.J., and Trinajstić N. J. Chem. Ed. 67 (1990) 633
6. Russell C.A. The History of Valency (1971), University Press, Leicester
7. Stranges A.N. Electrons and Valence (1982), Texas A&M University Press, College Station
8. Heitler W., and London F. Zeit. Phys. 44 (1927) 455
9. Rumer G. Göttinger Nach. Ges. Wiss. (1932) 337
10. Pauling L. J. Chem. Phys. 1 (1933) 280
11. Pauling L., and Wheland G.W. J. Chem. Phys. 1 (1933) 362
12. Pauling L. The Nature of the Chemical Bond. 3rd Edn. (1960), Cornell University Press, Ithaca
13. In: Klein D.J., and Trinajstić N. (Eds). Valence-Bond Theory & Chemical Structure (1990), Elsevier, Amsterdam
14. Harcourt R.D. Qualitative Valence Bond Descriptions of Electron-Rich Molecules (1982), Springer-Verlag, Berlin
15. Epiotis N.D. Unified Valence Bond Theory of Electronic Structure-Applications (1983), Springer-Verlag, Berlin
16. Shaik S.S. Prog. Phys. Org. Chem. 15 (1985) 197
17. Pross A. Acc. Chem. Res. 18 (1985) 212
18. Ovchinnikov A.A., and Cheranovskii V.O. Teor. & Eksp. Khim. 16 (1979) 147
19. Klein D.J., Nelin C.J., Alexander S.A., and Matsen F.A. J. Chem. Phys. 77 (1982) 3101
20. Shawali A.S., Parkanyi C., and Herndon W.C. J. Org. Chem. 47 (1982) 734
21. Malrieu J.P., and Maynau D. J. Am. Chem. Soc. 104 (1982) 3021
22. Pipeng Y. Kexue Tongbao 27 (1982) 961
23. Maynau D., Said M., and Malrieu J.P. J. Am. Chem. Soc. 105 (1983) 75
24. Hite G.E., Metropoulos A., Klein D.J., Schmalz T.G., and Seitz W.A. Theor. Chim. Acta 69 (1986) 369
25. Soos Z.G., and Hayden G.W. Mol. Cryst. & Liq. Cryst. 160 (1988) 421
26. Lee S. J. Am. Chem. Soc. 90 (1989) 2732
27. Pipeng Y. Theor. Chim. Acta 77 (1990) 213
28. Zhu H., and Jiang Y. Chem. Phys. Lett. 193 (1992) 446
29. Li S., and Jiang Y. J. Am. Chem. Soc. 117 (1995) 8401
30. Klein D.J. Pure & Appl. Chem. 55 (1982) 299
31. Messemer R.P., Schultz P.A., Tatar R.C., and Freund H.J. Chem. Phys. Lett. 126 (1986) 176
32. McAdon M.H., and Goddard III W.A. Phys. Rev. J. Phys. Chem. 91 (1987) 2607
33. Hiberty P.C., and Cooper D.L. J. Mol. Str. 169 (1988) 437
34. Patterson C.H., and Messemer R.P. J. Am. Chem. Spoc. 111 (1989) 8059
35. Harcourt R.D. J. Am. Chem. Soc. 100 (1978) 8060
36. Kuwajima S. J. Chem. Phys. 74 (1981) 6342
37. Shaik S.S. Nouv. J. Chim. 6 (1982) 159
38. Kirtman B., and Palke W.E. Croat. Chim. Acta 57 (1984) 1247
39. Hiberty P.C., and Ohanessian G. Int. J. Quantum Chem. 27 (1985) 259
40. Karafiloglou P., and Malrieu J.P. Chem. Phys. 104 (1986) 383
41. Harcourt R.D., Skrezenek F.L., Wilson R.M., and Flegg R.H. J. Chem. Soc., Faraday Trans. 2 (1986) 495
42. Sini G., Ohanessian G., Hiberty P.C., and Shaik S.S. J. Am. Chem. Soc. 112 (1990) 1407
43. Said M., Maynau D., Malrieu J.P., and Garcia-Bach M.A. J. Am. Chem. Soc. 106 (1984) 571
44. Cooper D.L., Gerratt J., and Raimondi M. Nature 323 (1986) 699
45. Gerratt J., Cooper D.L., and Raimondi M. In: Klein D.J., and Trinajstić N. (Eds). Valence-Bond Theory & Chemical Structure (1990), Elsevier, Amsterdam 287-350
46. Anderson P.W. Science 235 (1987) 1196
47. Pauling L. Nature 161 (1948) 1019
48. Pauling L. Proc. Roy. Soc. (London) A196 (1949) 343
49. L. Pauling, chap. 11 of ref. [8].
50. Simonetta M., Gianinetti E., and Vandoni I. J. Chem. Phys. 48 (1968) 1579
51. Rumer G., Teller E., and Weyl H. Gött. Nach. ges. Wiss. (1932) 499
52. Klein D.J. Topics Curr. Chem. 153 (1990) 59
53. Klein D.J., and Trinajstić N. Pure & Appl. Chem. 61 (1989) 2107
54. Rokhsar D.S., and Kivelson S.A. Phys. Rev. Lett. 61 (1988) 2376
55. Kivelson S.A. Phys. Rev. B 39 (1989) 259
56. Schaad L.J., and Hess Jr. B.A. Pure & Appl Chem. 54 (1982) 1097
57. Herdon W.C. J. Am. Chem. Soc. 95 (1973) 2404
58. Herndon W.C. Thermochimica Acta 8 (1974) 225
59. Randić M. Tetrahedron 33 (1977) 1905
60. Randić M. J. Am. Chem. Soc. 99 (1977) 444
61. Davidson E.R. J. Comp. Phys. 17 (1975) 87
62. Bethe H. Phys. 103 (1955) 1353
63. Brout R. Phys. Rev. 111 (1958) 1324
64. Primas H. In: Sinanoglu O. (Ed). Modern Quantum Chemistry I (1965), Academic Press, New York 45-74
65. Goldstone J. Proc. Roy. Soc. (London) A 239 (1957) 267
66. Hubbard J. Proc. Roy. Soc. (London) A 240 (1957) 539
67. Ramasesha S., and Soos Z.G. Intl. J. Quantum Chem. 25 (1984) 1003
68. Alexander S.A., and Schmalz T.G. J. Am. Chem. Soc. 109 (1987) 6933
69. Dagotto C.E., and Moreo A. Phys. Rev. B 38 (1988) 5087
70. Hirsch J.E., Tang S., Loh Jr. E., and Scalapino D.J. Phys. Rev. Lett. 60 (1988) 1688
71. Poilblanc D., Schulz H.J., and Ziman T. Phys. Rev. B 46 (1992) 6435
72. Bonner J.C., and Fisher M.E. Phys. Rev. A 135 (1964) 640
73. Gros C. Zeit. Phys. B 86 (1992) 359
74. Vekic M., and White S.R. Phys. Rev. Lett. 71 (1993) 4283
75. Raedt H.D., and von der Linden W. Phys. Rev. B 45 (1992) 8787
76. Riera J., and Laouini N. Phys. Rev. B 48 (1993) 15346
77. Guihery N., Amor N.B., Maynau D., and Malrieu J.-P. J. Chem. Phys. 104 (1996) 3701
78. Modine N.A., and Kaxiras E. Phys. Rev. B 53 (1996) 2546
79. Kashurnikov V.A. Phys. Rev. B 53 (1996) 5932
80. Hartmann H. Zeit. Naturforschung A 2 (1947) 259
81. Maynau D., Durand Ph., Dauday J.P., and Malreiu J.-P. Phys. Rev. A 28 (1983) 3193
82. Huse D. Phys. Rev. B 37 (1988) 2380
83. Singh R.R.P. Phys. Rev. B 39 (1989) 9760
84. Gelfand M.P., Singh R.R.P., and Huse P.A. J. Stat. Phus. 59 (1990) 1093
85. Zheng W.H., Oitmaa J., and Hamer C.J. Phys. Rev. B 43 (1991) 8321
86. Kim M., and Hong J. Phys. Rev. B 44 (1991) 6803
87. Klein D.J., Alexander S.A., Seitz W.A., Schmalz T.G., and Hite G.E. Theor. Chim. Acta 69 (1986) 393
88. Wheland G.W. Resonance in Organic Chemistry (1955), John Wiley & Sons, New York
89. Becker K.W., Won H., and Fulde P. Zeit. Phys. B 75 (1989) 335
90. Kim M., and Hong J. Phys. Rev. B 44 (1991) 6803
91. Klein D.J. Intl. J. Quantum Chem. S20 (1986) 153
92. Wang J. Phys. Rev. B 45 (1992) 2282
93. Weihong Z., Oitmaa J., and Hamer C.J. Phys. Rev. B 52 (1995) 10278
94. Poshusta R.D., and Klein D.J. Phys. Rev. Lett. 48 (1982) 1555
95. Poshusta R.D., Schmalz T.G., and Klein D.J. Mol. Phys. 66 (1989) 317
96. Cioslowski J. Phys. Rev. Lett. 58 (1987) 83
97. Cioslowski J. Phys. Rev. 36 (1987) 374
98. Morningstar C.J. Phys. Rev. D 46 (1992) 824
99. Cioslowski J. Chem. Phys. Lett. 134 (1987) 507
100. Cioslowski J. Commun. Math. Chem. (MATCH) 22 (1987) 245
101. Lee K.C., and Lo C.R. J. Phys. C 6 (1994) 7075
102. Tomlinson M.J., and Hollenberg L.C.L. Phys. Rev. B 50 (1994) 1275
103. Essam J.W., and Fisher M.E. Rev. Mod. Phys. 42 (1970) 271
104. Domb C. In: Domb C., and Green M.S. (Eds). Phase Transitions & Critical Phenomena III (1974), Academic Press, New York 1-94
105. Anderson P.W. Phys. Rev. 86 (1952) 694
106. Kubo R. Phys. Rev. 87 (1952) 568
107. Kotlar G., and Ruckenstein A.E. Phys. Rev. Lett. 57 (1986) 1362
108. Li T., Wölfe P., and Hirschfeld P. Phys. Rev. B 40 (1989) 6817
109. Lavagna M. Intl. J. Mod. Phys. B 6 (1991) 885
110. several articles in. Lavagna M. Physica 199-200 (1994)
111. M. F. Hundley et al, S. Doniach et al, T. Takabatke et al, & P. S. Riseforough on pages 443, 450, 457, & 466.
112. Rodriguez S. Phys. Rev. 116 (1959) 1474
113. Soos Z.G. J. Chem. Phys. 43 (1965) 1121
114. Arovas A.P., and Auerbach A. Phys. Rev. B 38 (1988) 316
115. Batrouni G.G., and Scalettar R.T. Phys. Rev. B 42 (1990) 2282
116. Loh E.Y., Gubernatis J.E., Scalettar R.T., White S.R., Scalapino D.J., and Sugar R.L. Phys. Rev. B 41 (1990) 9301
117. Gutzwiller M.C. Phys. Rev. 134A (1964) 993
118. Gutzwiller M.C. Phys. Rev. 137A (1965) 1726
119. Stollhoff G., and Fulde P. Zeit. Phys. 26 (1977) 257.1
120. Joyes P. Phys. Rev. B 26 (1982) 6307
121. Gebhard F., and Vollhardt D. Phys. Rev. B 38 (1988) 6911
122. Lepetit M.-B., Oujia B., Malrieu J.-P., and Maynau D. Phys. Rev. A 39 (1989) 3274
123. Wang J.Q.G., Fantoni S., Tosatti E., and Yu L. Phys. Rev. B 46 (1992) 8894
124. Cizek J. J. Chem. Phys. 45 (1966) 4256
125. Roger M., and Hetherington J.H. Europhys. Lett. 11 (1990) 255
126. Bishop R.F. Theor. Chim. Acta 80 (1991) 95
127. Lo C.F., Manousakis E., and Wang Y.L. Phys. Lett. A 156 (1991) 42
128. Petit L., and Roger M. Phys. Rev. B 49 (1994) 3453
129. Hulthen L. Arkiv Mat. Astron. Fys. A 26 #11 (1938) 1
130. Kasteleyn P.W. Physica 28 (1952) 104
131. Huse D.A., and Elser V. Phys. Rev. Lett. 60 (1988) 2531
132. Vroelant C., and Daudel R. Bull. Soc. Chim. 16 (1949) 36
133. Nebanzahl I. Phys. Rev. 177 (1969) 1001
134. Bartowski R.R. Phys. Rev. B 55 (1972) 4536
135. Klein D.J. J. Chem. Phys. 64 (1976) 4868
136. Suzuki M.A. J. Stat. Phys. 43 (1986) 883
137. Garcia-Bach M.A., and Klein D.J. J. Phys. A 29 (1996) 103
138. Bishop R.F., Parkinson J.B., and Xian Y. Phys. Rev. B 44 (1991) 9425
139. Harris F.E. Phys. Rev. B 47 (1993) 7903
140. Bishop R.F., Hale R.G., and Xian Y. Phys. Rev. Lett. 73 (1994) 3157
141. Klein D.J. Phys. Rev. B 19 (1979) 870
142. Klein D.J., Schmalz T.G., Hite G.E., Hite G.E., Metropoulos A., and Seitz W.A. Chem. Phys. Lett. 120 (1985) 367
143. Oguchi T., Nishimori H., and Taguchi Y. J. Phys. Soc. Jpn. 55 (1986) 323
144. Kivelson S., Rokhsar D., and Sethna J. Phys. Rev. B 35 (1987) 8865
145. Sutherland B. Phys. Rev. B 37 (1988) 3786
146. Sutherland B. Phys. Rev. B 38 (1988) 7192
147. Rokhsar D.S., and Kivelson. Phys. Rev. Lett. 61 (1988) 2376
148. Sachdev S. Phys. Rev. B 40 (1989) 5204
149. Read N., and Sachdev S. Nucl. Phys. B 316 (1989) 609
150. Blum T., and Shair Y. J. Stat. Phys. 59 (1990) 333
151. Klein D.J., and Garcia-Bach M.A. Phys. Rev. B 19 (1979) 877
152. Baskaran G., Zou Z., and Anderson P.W. Solid State Commun. 69 (1987) 973
153. Garcia-Bach M.A., Penaranda A., and Klein D.J. Phys. Rev. B 45 (1992) 10891
154. Zeng C., and Parkinson J.B. Phys. Rev. B 51 (1995) 11609
155. Liang S., Doucet N., and Anderson P.W. Phys. Rev. Lett. 61 (1988) 365
156. Affleck I., and Marston J.B. Phys. Rev. B 37 (1988) 316
157. Shraiman B., and Siggia E. Phys. Rev. Lett. 62 (1989) 1564
158. Kalmeyer V., and Laughlin R.B. Phys. Rev. Lett. 59 (1987) 2095
159. Laughlin R.B. Phys. Rev. Lett. 60 (1988) 2677
160. Wen X., Wilczek F., and Zee A. Phys. Rev. B 39 (1989) 11413
161. Anderson P.W., Shastry B.S., and Hristopulos D. Phys. Rev. B 40 (1989) 8939
162. Marshall W. Proc. Roy. Soc. (London) A 232 (1955) 48
163. Barnes T., and Swanson E.S. Phys. Rev. B 37 (1988) 9405
164. Barnes T., Kotchan D., and Swanson E.S. Phys. Rev. B 39 (1989) 4357
165. Carlson J. Phys. Rev. B 40 (1989) 846
166. Runge K.J. Phys. Rev. B 45 (1992) 12292
167. Metropolis N., Rosenbluth A.W., Rosenbluth M.N., Teller A.M., and Teller E. J. Chem. Phys. 21 (1953) 1087
168. Gros M., Sanchez-Velasco E., and Siggia E. Phys. Rev. B 34 (1987) 2484
169. Reger J.D., and Young A.P. Phys. Rev. B 37 (1988) 5978
170. Manousakis E., and Salvador R. Phys. Rev. B 39 (1989) 575
171. DeRaedt H., and von der Linden W. Phys. Rev. B 45 (1992) 8787
172. Trivedi N., and Ceperley C.M. Phys. Rev. B 41 (1990) 4552
173. Vekic M., and White S.R. Phys. Rev. B 47 (1993) 16131
174. Caspers W.J. Phys. Rep. 63 (1980) 223
175. van de Braak H.P., Caspers W.J., and Willemse M.W.M. Phys. Lett. A 67 (1978) 147
176. Mattis D.C., and Pan C.Y. Phys. Rev. Lett. 61 (1988) 463
177. Mattis D.C., and Pan C.Y. Phys. Rev. Lett. 61 (1988) 2279
178. Lin H.Q., and Pan C.Y. J. Phys. C 8 (1988) 1415
179. Lin H.Q., and Campbell D.C. Phys. Rev. Lett. 69 (1989) 2415
180. Zivkovic T.P., Sandleback B.J., Schmalz T.G., and Klein D.J. Phys. Rev. B 41 (1990) 2249
181. Schmalz T.G., and Klein D.J. Croat. Chem. Acta 66 (1993) 185
182. Cheranovski V.O., Schmalz T.G., and Klein D.J. J. Chem. Phys. 101 (1995) 5841
183. White S.R. Phys. Rev. Lett. 69 (1992) 2863
184. White S.R. Phys. Rev. B 48 (1993) 10345
185. White S.R., and Huse D.A. Phys. Rev. B 48 (1993) 3844
186. Yu C.C., and White S.R. Phys. Rev. Lett. 71 (1993) 3866
187. Noack R.M., White S.R., and Scalapino D.J. Phys. Rev. Lett. 73 (1994) 882
188. Schollwock U., and Jolicoeur T. Europhys. Lett. 30 (1995) 493
189. Qin S.J., Liang S.D., Su Z.B., and Yu L. Phys. Rev. B 52 (1995) 5475
190. Sikkema A., and Affleck I. Phys. Rev. B 52 (1995) 10207
191. Wang W., Qin S., Yu Z.Y., Yu L., and Su Z. Phys. Rev. B 53 (1996) 40
192. Otsuka H. Phys. Rev. B 53 (1996) 14004
193. Chen L., and Moukouri S. Phys. Rev. B 53 (1996) 1866
194. Chayes J.T., Chayes L., and Kivelson S.A. Commun. Math. Phys. 123 (1989) 53
195. Karbach M., Mütter K.-H., Ueberholz P., and Kröger H. Phys. Rev. B 48 (1993) 13666
196. Cyvin S.J., and Gutman I. Kekule Structures in Benzenoid Hydrocarbons (1988), Springer-Verlag, Berlin
197. John P., and Sachs H. Top. Curr. Chem. 153 (1990) 145
198. Chen R.S., Cyvin S.J., Cyvin B.N., Brounvoll J., and Klein D.J. Top. Curr. Chem. 153 (1990) 227
199. Pauling L. J. Solid St. Chem. 54 (1984) 297
200. Kamb B., and Pauling L. Proc. Natl. Acad. Sci. USA 82 (1985) 8284
201. Pauling L., and Kamb B. Proc. Natl. Acad. Sci. USA 82 (1985) 8286
202. Bethe H. Zeit. Phys. 71 (1935) 205
203. Yang C.N., and Yang C.P. Phys. Rev. 150 (1966) 221
204. Davies B., Foda O., Jimbo M., Miwa T., and Nakayashiki A. Commun. Math. Phys 151 (1993) 89
205. Jüttner G., and Dörgel B.D. J. Phys. A 26 (1993) 3105
206. Yamada Y. J. Stat. Phys. 82 (1996) 51
207. Cizek J., and Bracken P. Phys. Rev. Lett. 77 (1996) 211
208. Lieb E.H., Schultz T.D., and Mattis D.C. Ann. Phys. (NY) 16 (1961) 407
209. Choi J.H., and Thorson W. J. Chem. Phys. 57 (1972) 252
210. Thorson W.R., Choi J.H., and Hake R.G. Intl. J. Quantum Chem. S 1 (1967) 487
211. Anderson P.W. Mat. Res. Bull. 8 (1973) 153
212. Anderson P.W., and Fazekas. Phil. Mag. 30 (1974) 423
213. Klein D.J., Zivkovic T.P., and Valenti R. Phys. Rev. B 43 (1991) 723
214. Kennedy T., Lieb E.H., and Shastry B.S. J. Stat. Phys. 53 (1988) 1019
215. Fannes M., Nachtergale B., and Werner R.F. Commun. Math. Phys. 144 (1992) 443
216. Koma T., and Tasaki H. J. Stat. Phys. 76 (1994) 745
217. Manousakis E. Rev. Mod. Phys. 63 (1991) 1
218. Barnes T. Intl. J. Mod. Phys. C 2 (1991) 659
219. Senatore G., and March N.H. Rev. Mod. Phys. 66 (1994) 445
220. Dagotto E. Rev. Mod. Phys. 66 (1994) 763