Monte Carlo simulation with tensor network states

Physical Review B - Condensed Matter and Materials Physics

Volumn 83, Issue 13, 2011, Pages

  Wang, Ling ^a   Pižorn, Iztok ^a   Verstraete, Frank ^a  

^a Faculty of Mathematics   (Austria)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 79961070436     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.83.134421     Document Type: Article

References (45)

1. H.-C. Jiang, Z. Y. Weng, and T. Xiang, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.101.090603 101, 090603 (2008);
2. Z. Y. Xie, H. C. Jiang, Q. N. Chen, Z. Y. Weng, and T. Xiang, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.103.160601 103, 160601 (2009).
3. S. R. White, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.69. 2863 69, 2863 (1992).
4. S. Ostlund and S. Rommer, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.75.3537 75, 3537 (1995).
5. T. Nishino, T. Hikihara, K. Okunishi, and Y. Hieda, Int. J. Mod. Phys. B IJPBEV 0217-9792 10.1142/S0217979299000023 13, 1 (1999).
6. F. Verstraete, D. Porras, and J. I. Cirac, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.227205 93, 227205 (2004). (Pubitemid 40072806)
7. N. Maeshima, Y. Hieida, Y. Akutsu, T. Nishino, and K. Okunishi, Phys. Rev. E PRLTAO 1539-3755 10.1103/PhysRevE.64.016705 64, 016705 (2001).
8. F. Verstraete and J. I. Cirac, e-print arXiv: cond-mat/0407066.
9. G. Vidal, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.101. 110501 101, 110501 (2008).
10. J. Jordan, R. Orus, G. Vidal, F. Verstraete, and J. I. Cirac, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.101.250602 101, 250602 (2008).
11. C. V. Kraus, N. Schuch, F. Verstraete, and J. I. Cirac, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.81.052338 81, 052338 (2010).
12. P. Corboz and G. Vidal, Phys. Rev. B PLRAAN 1098-0121 10.1103/PhysRevB.80.165129 80, 165129 (2009).
13. P. Corboz, G. Evenbly, F. Verstraete, and G. Vidal, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.81.010303 81, 010303 (R) (2010).
14. P. Corboz, R. Orus, B. Bauer, and G. Vidal, Phys. Rev. B PLRAAN 1098-0121 10.1103/PhysRevB.81.165104 81, 165104 (2010).
15. T. Barthel, C. Pineda, and J. Eisert, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.80.042333 80, 042333 (2009).
16. I. Pižorn and F. Verstraete, Phys. Rev. B PLRAAN 1098-0121 10.1103/PhysRevB.81.245110 81, 245110 (2010).
17. Z.-C. Gu, F. Verstraete, and X.-G. Wen, e-print arXiv: 1004.2563.
18. F. Verstraete, V. Murg, and I. J. Cirac, Adv. Phys. ADPHAH 0001-8732 10.1080/14789940801912366 57, 143 (2008).
19. Z.-C. Gu, M. Levin, and X.-G. Wen, Phys. Rev. B ADPHAH 1098-0121 10.1103/PhysRevB.78.205116 78, 205116 (2008).
20. V. Murg, F. Verstraete, and J. I. Cirac, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.057206 95, 057206 (2005). (Pubitemid 41506176)
21. V. Murg, F. Verstraete, and J. I. Cirac, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.75.033605 75, 033605 (2007). (Pubitemid 46418228)
22. J. Jordan, R. Orus, and G. Vidal, Phys. Rev. B PLRAAN 1098-0121 10.1103/PhysRevB.79.174515 79, 174515 (2009).
23. V. Murg, F. Verstraete, and J. I. Cirac, Phys. Rev. B PLRAAN 1098-0121 10.1103/PhysRevB.79.195119 79, 195119 (2009).
24. G. Evenbly and G. Vidal, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.104.187203 104, 187203 (2010).
25. H. H. Zhao, Z. Y. Xie, Q. N. Chen, Z. C. Wei, J. W. Cai, and T. Xiang, Phys. Rev. B PRLTAO 1098-0121 10.1103/PhysRevB.81.174411 81, 174411 (2010).
26. B. Bauer, G. Vidal, and M. Troyer, J. Stat. Mech. PRLTAO 1742-5468 10.1088/1742-5468/2009/09/P09006 (2009) P09006.
27. Q.-Q. Shi, S.-H. Li, J.-H. Zhao, and H.-Q. Zhou, e-print arXiv: 0907.5520;
28. S.-H. Li, Q.-Q. Shi, and H.-Q. Zhou, e-print arXiv: 1001.3343.
29. W. Li, S.-S. Gong, Y. Zhao, and G. Su, Phys. Rev. B PRLTAO 1098-0121 10.1103/PhysRevB.81.184427 81, 184427 (2010).
30. C. Liu, L. Wang, A. W. Sandvik, Y.-C. Su, and Y.-J. Kao, Phys. Rev. B PRLTAO 1098-0121 10.1103/PhysRevB.82.060410 82, 060410 (2010).
31. A. W. Sandvik and G. Vidal, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.99.220602 99, 220602 (2007). (Pubitemid 350198451)
32. N. Schuch, M. M. Wolf, F. Verstraete, and J. I. Cirac, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.100.040501 100, 040501 (2008). (Pubitemid 351191356)
33. A. W. Sandvik, Phys. Rev. B PRLTAO 1098-0121 10.1103/PhysRevB.56.11678 56, 11678 (1997).
34. A. W. Sandvik and H. G. Evertz, Phys. Rev. B PRLTAO 1098-0121 10.1103/PhysRevB.82.024407 82, 024407 (2010).
35. M. Levin and C. P. Nave, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.99.120601 99, 120601 (2007). (Pubitemid 47443738)
36. V. Coffman, J. Kundu, and W. K. Wootters, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.61.052306 61, 052306 (2000);
37. B. M. Terhal, IBM J. Res. Dev. IBMJAE 0018-8646 10.1147/rd.481.0071 48, 71 (2004);
38. T. J. Osborne and F. Verstraete, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.220503 96, 220503 (2006). (Pubitemid 43855979)
39. J. D. Reger and A. P. Young, Phys. Rev. B PRLTAO 1098-0121 10.1103/PhysRevB.37.5978 37, 5978 (1988).
40. L. Wang, Y.-J. Kao, and A. W. Sandvik, e-print arXiv: 0901.0214.
41. G. Vidal, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.070201 98, 070201 (2007).
42. Q.-Q. Shi and H.-Q. Zhou, J. Phys. A PRLTAO 1751-8113 10.1088/1751-8113/42/27/272002 42, 272002 (2009).
43. B. Pirvu, F. Verstraete, and G. Vidal, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.83.125104 83, 125104 (2011).
44. A. W. Sandvik, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.101. 140603 101, 140603 (2008).
45. L. Wang (in preparation).