Complete characterization of the spectrum of the Kitaev model on spin ladders

Physical Review B - Condensed Matter and Materials Physics

Volumn 79, Issue 21, 2009, Pages

  Karimipour, Vahid ^a  

^a SHARIF UNIVERSITY OF TECHNOLOGY   (Iran)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 68949090541     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.79.214435     Document Type: Article

References (52)

1. E. H. Lieb, T. Schultz, and D. Mattis, Ann. Phys. 16, 407 (1961). 10.1016/0003-4916(61)90115-4
2. E. H. Lieb and D. C. Mattis, Mathematical Physics in One Dimension (Academic Press, New York, 1966).
3. R. J. Baxter, Exactly Solved Models in Statistical Mechanics (Academic Press, London, 1982).
4. M. Fannes, B. Nachtergaele, and R. F. Werner, Europhys. Lett. 10, 633 (1989) 10.1209/0295-5075/10/7/005
5. A. Klumper, A. Schadschneider, and J. Zittartz, J. Phys. A 24, L955 (1991) 10.1088/0305-4470/24/16/012
6. A. Klumper, A. Schadschneider, and J. Zittartz, Z. Phys. B 87, 281 (1992). 10.1007/BF01309281
7. A. Klümper, A. Schadschneider, and J. Zittartz, Europhys. Lett. 24, 293 (1993) 10.1209/0295-5075/24/4/010
8. M. A. Ahrens, A. Schadschneider, and J. Zittartz, Europhys. Lett. 59, 889 (2002). 10.1209/epl/i2002-00126-5
9. E. Bartel, A. Schadschneider, and J. Zittartz, Eur. Phys. J. B 31, 209 (2003). 10.1140/epjb/e2003-00025-7
10. M. Asoudeh, V. Karimipour, and A. Sadrolashrafi, Phys. Rev. B 75, 224427 (2007) 10.1103/PhysRevB.75.224427
11. M. Asoudeh, V. Karimipour, and A. Sadrolashrafi, Phys. Rev. A 76, 012320 (2007) 10.1103/PhysRevA.76.012320
12. M. Asoudeh, V. Karimipour, and A. Sadrolashrafi, Phys. Rev. B 76, 064433 (2007). 10.1103/PhysRevB.76.064433
13. S. Alipour, V. Karimipour, and L. Memarzadeh, Phys. Rev. A 75, 052322 (2007) 10.1103/PhysRevA.75.052322
14. S. Alipour, V. Karimipour, and L. Memarzadeh, Eur. Phys. J. B 62, 159 (2008). 10.1140/epjb/e2008-00143-8
15. V. Karimipour and L. Memarzadeh, Phys. Rev. B 77, 094416 (2008). 10.1103/PhysRevB.77.094416
16. S. Alipour, S. Baghbanzadeh, and V. Karimipour, EPL 84, 67006 (2008). 10.1209/0295-5075/84/67006
17. M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, Cambridge, 2000).
18. A. Osterloh, L. Amico, G. Falci, and R. Fazio, Nature (London) 416, 608 (2002). 10.1038/416608a
19. T. J. Osborne and M. A. Nielsen, Phys. Rev. A 66, 032110 (2002). 10.1103/PhysRevA.66.032110
20. A. Yu. Kitaev, Ann. Phys. 303, 2 (2003). 10.1016/S0003-4916(02)00018-0
21. A. Kitaev and J. Preskill, Phys. Rev. Lett. 96, 110404 (2006). 10.1103/PhysRevLett.96.110404
22. H. Bombin and M. A. Martin-Delgado, Phys. Rev. Lett. 97, 180501 (2006) 10.1103/PhysRevLett.97.180501
23. H. Bombin and M. A. Martin-Delgado, Phys. Rev. Lett. 98, 160502 (2007) 10.1103/PhysRevLett.98.160502
24. H. Bombin and M. A. Martin-Delgado, Phys. Rev. B 78, 115421 (2008). 10.1103/PhysRevB.78.115421
25. H. Bombin, M. Kargarian, and M. A. Martin-Delgado, arXiv:0811.0911 (unpublished).
26. J. K. Pachos, Ann. Phys. 322, 1254 (2007) 10.1016/j.aop.2006.05.007
27. J. K. Pachos, Int. J. Quantum Inf. 4, 947 (2006). 10.1142/ S0219749906002328
28. M. H. Freedman, A. Yu. Kitaev, and Z. Wang, Commun. Math. Phys. 227, 587 (2002) 10.1007/s002200200635
29. M. Freedman, M. Larsen, and Z. Wang, Commun. Math. Phys. 227, 605 (2002) 10.1007/s002200200645
30. M. H. Freedman, A. Kitaev, M. J. Larsen, and Z. Wang, Bull., New Ser., Am. Math. Soc. 40, 31 (2003). 10.1090/S0273-0979-02-00964-3
31. C. Nayak, S. H. Simon, A. Stern, M. H. Freedman, and S. Das Sarma, Rev. Mod. Phys. 80, 1083 (2008). 10.1103/RevModPhys.80.1083
32. G. Kells, A. T. Bolukbasi, V. Lahtinen, J. K. Slingerland, J. K. Pachos, and J. Vala, Phys. Rev. Lett. 101, 240404 (2008). 10.1103/PhysRevLett.101.240404
33. Ville Lahtinen, Graham Kells, Angelo Carollo, Tim Stitt, Jiri Vala, and Jiannis K. Pachos, Ann. Phys. 323, 2286 (2008). 10.1016/j.aop.2007.12.009
34. A. Kitaev, Ann. Phys. (N.Y.) 321, 2 (2006) 10.1016/j.aop.2005.10.005
35. H. D. Chen and Z. Nussinov, J. Phys. A 41, 075001 (2008) 10.1088/1751-8113/41/7/075001
36. D. H. Lee, G.-M. Zhang, and T. Xiang, Phys. Rev. Lett. 99, 196805 (2007). 10.1103/PhysRevLett.99.196805
37. C. Castelnovo and C. Chamon, Phys. Rev. B 76, 184442 (2007) 10.1103/PhysRevB.76.184442
38. C. Castelnovo and C. Chamon, Phys. Rev. B 76, 174416 (2007). 10.1103/PhysRevB.76.174416
39. M. Kargarian, Phys. Rev. A 78, 062312 (2008). 10.1103/PhysRevA.78.062312
40. S. Dusuel, K. P. Schmidt, and J. Vidal, Phys. Rev. Lett. 100, 177204 (2008) 10.1103/PhysRevLett.100.177204
41. K. P. Schmidt, S. Dusuel, and J. Vidal, Phys. Rev. Lett. 100, 057208 (2008). 10.1103/PhysRevLett.100.057208
42. H. Bombin and M. A. Martin-Delgado, Phys. Rev. A 77, 042322 (2008). 10.1103/PhysRevA.77.042322
43. A. Hamma, R. Ionicioiu, and P. Zanardi, Phys. Lett. A 337, 22 (2005) 10.1016/j.physleta.2005.01.060
44. A. Hamma, R. Ionicioiu, and P. Zanardi, Phys. Rev. A 72, 012324 (2005). 10.1103/PhysRevA.72.012324
45. T. W. B. Kibble, J. Phys. A 9, 1387 (1976) 10.1088/0305-4470/9/8/029
46. W. H. Zurek, Nature (London) 317, 505 (1985). 10.1038/317505a0
47. A. Bermudez, D. Patane, L. Amico, and M. A. Martin-Delgado, Phys. Rev. Lett. 102, 135702 (2009). 10.1103/PhysRevLett.102.135702
48. M. Creutz, Phys. Rev. Lett. 83, 2636 (1999). 10.1103/PhysRevLett.83.2636
49. Zohar Nussinov and Gerardo Ortiz, Ann. Phys. 324, 977 (2009). 10.1016/j.aop.2008.11.002
50. Zohar Nussinov and Gerardo Ortiz, Phys. Rev. B 77, 064302 (2008). 10.1103/PhysRevB.77.064302
51. S. Iblisdir, D. Perez-Garcia, M. Aguado, and J. Pachos, Phys. Rev. B 79, 134303 (2009). 10.1103/PhysRevB.79.134303
52. S. Iblisdir, D. Perez-Garcia, M. Aguado, and J. Pachos, arXiv:0812.4975 (unpublished).