The conceptual background of density-matrix renormalization

Lecture Notes in Physics

Volumn 739, Issue , 2008, Pages 581-596

  Peschel, Ingo ^a   Eisler, Viktor ^a  

^a FREIE UNIVERSITÄT BERLIN   (Germany)

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EID: 37549035905     PISSN: 00758450     EISSN: None     Source Type: Book Series    
DOI: 10.1007/978-3-540-74686-7_20     Document Type: Article

References (51)

1. S.R. White, Phys. Rev. Lett. 69, 2863 (1992)
2. S.R. White, Phys. Rev. B 48, 10345 (1993)
3. I. Peschel, X. Wang, M. Kaulke, K. Hallberg (eds.), Density-Matrix Renormalization. Lecture Notes in Physics 528 (Springer, Berlin, 1999)
4. U. Schollwöck, Rev. Mod. Phys. 77, 259 (2005)
5. K.A. Hallberg, Adv. Phys. 55, 477 (2006)
6. E. Schrödinger, Naturwissenschaften 23, 807 (1935)
7. A. Ekert, P.L. Knight, Am. J. Phys 63, 415 (1995)
8. R. Horn, C. Johnson, Topics in Matrix Analysis (Cambridge University Press, 1991), Chap. 3
9. E. Schmidt, Math. Annalen 63, 433 (1907)
10. M.-C. Chung, I. Peschel, J. Phys. A: Math. Gen. 32, 8419 (1999)
11. M.-C. Chung, I. Peschel, Phys. Rev. B 62, 4191 (2000)
12. M.-C. Chung, I. Peschel, Phys. Rev. B 64, 064412 (2001)
13. I. Peschel, J. Phys. A: Math. Gen. 36, L205 (2003)
14. G. Vidal, J.I. Latorre, E. Rico, A. Kitaev, Phys. Rev. Lett. 90, 227902 (2003)
15. I. Peschel, J. Stat. Mech. P06004 (2004)
16. B.Q. Jin, V.E. Korepin, J. Stat. Phys. 116, 79 (2004)
17. J.P. Keating, F. Mezzadri, Phys. Rev. Lett. 94, 050501 (2005)
18. J. Eisert, M. Cramer, Phys. Rev. A 72, 042112 (2005)
19. N. Laflorencie, Phys. Rev. B 72, 140408 (2005)
20. V. Eisler, Z. Zimborás, Phys. Rev. A 71, 042318 (2005)
21. P. Calabrese, J.L. Cardy, J. Stat. Mech. P04010 (2005)
22. T. Barthel, M.-C. Chung, U. Schollwöck, Phys. Rev. A 74, 022329 (2006)
23. H. Casini, M. Huerta, J. Stat. Mech. P12012 (2005)
24. M. Cramer, J. Eisert, M.B. Plenio, J. Dreiig, Phys. Rev. A 73, 012309 (2006)
25. I. Peschel, M. Kaulke, Ö. Legeza, Ann. Physik (Leipzig) 8, 153 (1999)
26. I. Peschel, J. Stat. Mech. P12005 (2004)
27. R.J. Baxter, Exactly Solved Models in Statistical Mechanics (Academic Press, London, 1982)
28. C. Holzhey, F. Larsen, F. Wilczek, Nucl. Phys. B 424, 443 (1994)
29. P. Calabrese, J.L. Cardy, J. Stat. Mech. P06002 (2004)
30. S.A. Cheong, C.L. Henley, Phys. Rev. B 69, 075112 (2004)
31. V. Eisler, Ö. Legeza, Z. Rácz, J. Stat. Mech. P11013 (2006)
32. V. Popkov, M. Salerno, G. Schütz, Phys. Rev. A 72, 032327 (2005)
33. J. Vidal, S. Dusuel, T. Barthel, J. Stat. Mech.: Th. Exp. P01015 (2007)
34. K. Okunishi, Y. Hieida, Y. Akutsu, Phys. Rev. E 59, R6227 (1999)
35. L. Bombelli, R.K. Koul, J. Lee, R.D. Sorkin, Phys. Rev. D 34, 373 (1986)
36. M. Srednicki, Phys. Rev. Lett. 71, 666 (1993)
37. M.M. Wolf, Phys. Rev. Lett. 96, 010404 (2006)
38. D. Gioev, I. Klich, Phys. Rev. Lett. 96, 100503 (2006)
39. W. Li, L. Ding, R. Yu, T. Roscilde, S. Haas, Phys. Rev. B 74, 073103 (2006)
40. G. De Chiara, S. Montangero, P. Calabrese, R. Fazio, J. Stat. Mech. P03001 (2006)
41. Ö. Legeza, J. Sólyom, Phys. Rev. B 70, 205118 (2004)
42. V. Hakim, J.P. Nadal, J. Phys. A: Math. Gen. 16, L213 (1983)
43. M. Fannes, B. Nachtergaele, R.F. Werner, Europhys. Lett. 10, 633 (1989)
44. A. Klümper, A. Schadschneider, J. Zittartz, Z. Physik B 87, 281 (1992)
45. I. Affleck, T. Kennedy, E.H. Lieb, H. Tasaki, Phys. Rev. Lett. 59, 799 (1987)
46. B. Derrida, M.R. Evans, V. Hakim, V. Pasquier, J. Phys. A: Math. Gen. 26, 1493 (1993)
47. I. Peschel, M. Kaulke, [3], Chap. II, §3.1, p. 279
48. F. Verstraete, J.I. Cirac, Phys. Rev. B 73, 094423 (2006)
49. S. Östlund, S. Rommer, Phys. Rev. Lett. 75, 3537 (1995)
50. F. Verstraete, D. Porras, J.I. Cirac, Phys. Rev. Lett. 93, 227205 (2004)
51. F. Verstraete, J.I. Cirac (2004). URL http://arxiv.org/abs/cond-mat/ 0407066. Preprint