Fidelity susceptibility in the two-dimensional transverse-field Ising and XXZ models

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 80, Issue 2, 2009, Pages

  Yu, Wing Chi ^a   Kwok, Ho Man ^a   Cao, Junpeng ^a,b   Gu, Shi Jian ^a  

^a CHINESE UNIVERSITY OF HONG KONG   (Hong Kong)

^b INSTITUTE OF PHYSICS   (China)

Author keywords

[No Author keywords available]

Indexed keywords

CRITICAL POINTS; DRIVING PARAMETERS; GROUND-STATE ENERGIES; QUANTUM PHASE TRANSITIONS; SCALING BEHAVIOR; SECOND DERIVATIVES; SECOND ORDERS; THEORETICAL ARGUMENTS; TRANSVERSE-FIELD ISING MODEL;

EQUATIONS OF STATE; ISING MODEL; TWO DIMENSIONAL;

PHASE TRANSITIONS;

EID: 70349553931     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.80.021108     Document Type: Article

References (35)

1. S. Sachdev, Quantum Phase Transitions (Cambridge University Press, Cambridge, England, 2000).
2. H. T. Quan, Z. Song, X. F. Liu, P. Zanardi, and C. P. Sun, Phys. Rev. Lett. 96, 140604 (2006). 10.1103/PhysRevLett.96.140604
3. P. Zanardi and N. Paunković, Phys. Rev. E 74, 031123 (2006). 10.1103/PhysRevE.74.031123
4. H. Q. Zhou and J. P. Barjaktarevic, and J. Phys. A: Math. Theor. 41, 412001 (2008). 10.1088/1751-8113/41/41/412001
5. W. L. You, Y. W. Li, and S. J. Gu, Phys. Rev. E 76, 022101 (2007). 10.1103/PhysRevE.76.022101
6. H. Q. Zhou, J. H. Zhao, and B. Li, J. Phys. A: Math. Theor. 41, 492002 (2008). 10.1088/1751-8113/41/49/492002
7. X. Wang, Z. Sun, and Z. D. Wang, Phys. Rev. A 79, 012105 (2009). 10.1103/PhysRevA.79.012105
8. S. J. Gu, Chin. Phys. Lett. 26, 026401 (2009). 10.1088/0256-307X/26/2/ 026401
9. See, for example, H. M. Kwok, W. Q. Ning, S. J. Gu, and H. Q. Lin, Phys. Rev. E 78, 032103 (2008) 10.1103/PhysRevE.78.032103
10. M. F. Yang, Phys. Rev. B 76, 180403 (R) (2007) 10.1103/PhysRevB.76.180403
11. J. Ove Fjærestad, J. Stat. Mech.: Theory Exp. (2008) P07011 10.1088/1742-5468/2008/07/P07011
12. L. Gong and P. Tong, Phys. Rev. B 78, 115114 (2008) 10.1103/PhysRevB.78. 115114
13. Y. C. Li and S. S. Li, Phys. Rev. B 78, 184412 (2008) 10.1103/PhysRevB.78.184412
14. J. Ren and S. Zhu, Eur. Phys. J. D 50, 103 (2008) 10.1140/epjd/e2008- 00202-4
15. K. W. Sun, Y. Y. Zhang, and Q. H. Chen, Phys. Rev. B 79, 104429 (2009). 10.1103/PhysRevB.79.104429
16. S. J. Gu, e-print arXiv:0811.3127.
17. P. Zanardi, P. Giorda, and M. Cozzini, Phys. Rev. Lett. 99, 100603 (2007). 10.1103/PhysRevLett.99.100603
18. S. Chen, L. Wang, Y. Hao, and Y. Wang, Phys. Rev. A 77, 032111 (2008). 10.1103/PhysRevA.77.032111
19. L. Campos Venuti and P. Zanardi, Phys. Rev. Lett. 99, 095701 (2007). 10.1103/PhysRevLett.99.095701
20. S. J. Gu, H. M. Kwok, W. Q. Ning, and H. Q. Lin, Phys. Rev. B 77, 245109 (2008). 10.1103/PhysRevB.77.245109
21. S. J. Gu and H. Q. Lin, EPL 87, 10003 (2009). 10.1209/0295-5075/87/10003
22. P. G. de Gennes, Solid State Commun. 1, 132 (1963). 10.1016/0038-1098(63) 90212-6
23. R. B. Stinchcombe, J. Phys. C 6, 2459 (1973). 10.1088/0022-3719/6/15/009
24. Z. Friedman, Phys. Rev. B 17, 1429 (1978). 10.1103/PhysRevB.17.1429
25. M. S. L. du Croo de Jongh and J. M. J. van Leeuwen, Phys. Rev. B 57, 8494 (1998). 10.1103/PhysRevB.57.8494
26. M. Henkel, J. Phys. A 20, 3969 (1987). 10.1088/0305-4470/20/12/041
27. C. J. Hamer, J. Phys. A 33, 6683 (2000). 10.1088/0305-4470/33/38/303
28. O. F. Syljuåsen, Phys. Lett. A 322, 25 (2004). 10.1016/j.physleta. 2003.12.018
29. A. W. Sandvik, Phys. Rev. B 56, 11678 (1997). 10.1103/PhysRevB.56.11678
30. H. Q. Lin, J. S. Flynn, and D. D. Betts, Phys. Rev. B 64, 214411 (2001). 10.1103/PhysRevB.64.214411
31. E. Lieb and D. Mattis, J. Math. Phys. 3, 749 (1962). 10.1063/1.1724276
32. I. Affleck and E. Lieb, Lett. Math. Phys. 12, 57 (1986). 10.1007/BF00400304
33. G. S. Tian and H. Q. Lin, Phys. Rev. B 67, 245105 (2003). 10.1103/PhysRevB.67.245105
34. S. Yang, S. J. Gu, C. P. Sun, and H. Q. Lin, Phys. Rev. A 78, 012304 (2008). 10.1103/PhysRevA.78.012304
35. S. J. Gu, G. S. Tian, and H. Q. Lin, Phys. Rev. A 71, 052322 (2005). 10.1103/PhysRevA.71.052322