Efficient simulation of Grassmann tensor product states

Physical Review B - Condensed Matter and Materials Physics

Volumn 88, Issue 11, 2013, Pages

  Gu, Zheng Cheng ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84884863250     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.88.115139     Document Type: Article

References (40)

1. R. B. Laughlin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.50. 1395 50, 1395 (1983).
2. X.-G. Wen and Qian Niu, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.41.9377 41, 9377 (1990).
3. P. W. Anderson, Science SCIEAS 0036-8075 10.1126/science.235.4793.1196 235, 1196 (1987).
4. C. Gros, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.38.931 38, 931 (1988).
5. For a review, see P. A. Lee, N. Nagaosa, and X.-G. Wen, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.78.17 78, 17 (2006). (Pubitemid 43279669)
6. X.-G. Wen, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.65.165113 65, 165113 (2002).
7. Y. Ran, M. Hermele, P. A. Lee, and X. G. Wen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.117205 98, 117205 (2007). (Pubitemid 46434373)
8. X.-G. Wen, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.60.8827 60, 8827 (1999).
9. Z.-C. Gu, F. Verstraete, and X.-G. Wen, arXiv: 1004.2563.
10. Z.-C. Gu, M. Levin, B. Swingle, and X.-G. Wen, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.79.085118 79, 085118 (2009).
11. O. Buerschaper, M. Aguado, and G. Vidal, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.79.085119 79, 085119 (2009).
12. M. A. Levin and X. G. Wen, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.71.045110 71, 045110 (2005). (Pubitemid 40418061)
13. Z.-C. Gu, Z. Wang, and X.-G. Wen, arXiv: 1010.1517.
14. J. Dubail and N. Read, arXiv: 1307.7726.
15. T. B. Wahl, H. H. Tu, N. Schuch, and J. I. Cirac, arXiv: 1308.0316.
16. B. Béri and N. R. Cooper, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.106.156401 106, 156401 (2011).
17. F. Verstraete, J. I. Cirac, and V. Murg, Adv. Phys. ADPHAH 0001-8732 10.1080/14789940801912366 57, 143 (2008);
18. J. I. Cirac and F. Verstraete, J. Phys. A: Math. Theor. 10.1088/1751-8113/42/50/504004 42, 504004 (2009).
19. F. Verstraete and J. I. Cirac, arXiv: cond-mat/0407066.
20. 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).
21. T. Barthel, C. Pineda, and J. Eisert, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.80.042333 80, 042333 (2009).
22. P. Corboz, R. Orus, B. Bauer, and G. Vidal, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.81.165104 81, 165104 (2010).
23. Iztok Pizorn and Frank Verstraete, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.81.245110 81, 245110 (2010).
24. Q. Q. Shi, S. H. Li, J. H. Zhao, and H. Q. Zhou, arXiv: 0907.5520.
25. P. Corboz, J. Jordan, and G. Vidal, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.82.245119 82, 245119 (2010).
26. P. Corboz, S. R. White, G. Vidal, and M. Troyer, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.84.041108 84, 041108 (2011).
27. N. Schuch, M. M. Wolf, F. Verstraete, and J. I. Cirac, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.140506 98, 140506 (2007). (Pubitemid 46557467)
28. V. Murg, F. Verstraete, and J. I. Cirac, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.75.033605 75, 033605 (2007). (Pubitemid 46418228)
29. 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).
30. Roman Orus and Guifre Vidal, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.80.094403 80, 094403 (2009).
31. M. Levin and C. P. Nave, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.99.120601 99, 120601 (2007). (Pubitemid 47443738)
32. Z.-C. Gu, M. Levin, and X.-G. Wen, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.78.205116 78, 205116 (2008).
33. H. C. Jiang, Z. Y. Weng, and T. Xiang, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.101.090603 101, 090603 (2008).
34. 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);
35. H. H. Zhao, Z. Y. Xie, Q. N. Chen, Z. C. Wei, J. W. Cai, and T. Xiang, Phys. Rev. B 10.1103/PhysRevB.81.174411 81, 174411 (2010).
36. Xie Chen, Z.-C. Gu, and X.-G. Wen, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.82.155138 82, 155138 (2010).
37. L. Wang, I. Pizorn, and F. Verstraete, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.83.134421 83, 134421 (2011).
38. G. Vidal, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.070201 98, 070201 (2007).
39. M. E. Peskin and D. V. Schroeder, An Introduction to Quantum Field Theory (Westview Press, Boulder, 1995).
40. Z.-C. Gu, H.-C. Jiang, D.-N. Sheng, Hong Yao, Leon Balents, and X.-G. Wen, arXiv: 1110.1183.