Robustness of a perturbed topological phase

Physical Review Letters

Volumn 106, Issue 10, 2011, Pages

  Dusuel, Sébastien ^a   Kamfor, Michael ^b,c   Orús, Román ^d,e   Schmidt, Kai Phillip ^b   Vidal, Julien ^c  

^a Lycée Saint Louis ^*  (France)

^b TU DORTMUND UNIVERSITY   (Germany)

^c UNIVERSITÉ PIERRE ET MARIE CURIE   (France)

^d UNIVERSITY OF QUEENSLAND   (Australia)

^e MAX PLANCK INSTITUT FÜR QUANTENOPTIK   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

CRITICAL EXPONENT; FIELD ORIENTATION; HIGH-ORDER; SECOND ORDERS; SERIES EXPANSION; TOPOLOGICAL PHASE; UNIVERSALITY CLASS;

CODES (SYMBOLS); MAGNETIC FIELDS;

TOPOLOGY;

EID: 79952385354     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.106.107203     Document Type: Article

References (37)

1. X.-G. Wen, Phys. Rev. B PRBMDO 0163-1829 40, 7387 (1989); 10.1103/PhysRevB.40.7387
2. X.-G. Wen Int. J. Mod. Phys. B 4, 239 (1990). IJPBEV 0217-9792 10.1142/S0217979290000139
3. A.Y. Kitaev, Ann. Phys. (N.Y.) 303, 2 (2003). APNYA6 0003-4916 10.1016/S0003-4916(02)00018-0 (Pubitemid 36177417)
4. R.W. Ogburn and J. Preskill, Lect. Notes Comput. Sci. LNCSD9 0302-9743 1509, 341 (1999). 10.1007/3-540-49208-9-31
5. I. Klich, Ann. Phys. (N.Y.) 325, 2120 (2010). APNYA6 0003-4916 10.1016/j.aop.2010.05.002
6. S. Bravyi, M.B. Hastings, and S. Michalakis, J. Math. Phys. (N.Y.) JMAPAQ 0022-2488 51, 093512 (2010). 10.1063/1.3490195
7. E. Dennis, A. Kitaev, A. Landahl, and J. Preskill, J. Math. Phys. (N.Y.) JMAPAQ 0022-2488 43, 4452 (2002). 10.1063/1.1499754
8. S. Gladchenko, D. Olaya, E. Dupont-Ferrier, B. Doucot, L.B. Ioe, and M.E. Gershenson, Nature Phys. NPAHAX 1745-2473 5, 48 (2009). 10.1038/nphys1151
9. A. Hamma and D.A. Lidar, Phys. Rev. Lett. 100, 030502 (2008). PRLTAO 0031-9007 10.1103/PhysRevLett.100.030502 (Pubitemid 351161773)
10. S. Trebst, P. Werner, M. Troyer, K. Shtengel, and C. Nayak, Phys. Rev. Lett. 98, 070602 (2007). PRLTAO 0031-9007 10.1103/PhysRevLett.98.070602
11. I.S. Tupitsyn, A. Kitaev, N.V. Prokof'ev, and P.C.E. Stamp, Phys. Rev. B PRBMDO 1098-0121 82, 085114 (2010). 10.1103/PhysRevB.82.085114
12. J. Vidal, S. Dusuel, and K.P. Schmidt, Phys. Rev. B PRBMDO 0163-1829 79, 033109 (2009). 10.1103/PhysRevB.79.033109
13. J. Vidal, R. Thomale, K.P. Schmidt, and S. Dusuel, Phys. Rev. B PRBMDO 0163-1829 80, 081104(R) (2009). 10.1103/PhysRevB.80.081104
14. J. Yu, S.-P. Kou, and X.-G. Wen, Europhys. Lett. 84, 17004 (2008). EULEEJ 0295-5075 10.1209/0295-5075/84/17004
15. X.-G. Wen, Phys. Rev. Lett. 90, 016803 (2003). PRLTAO 0031-9007 10.1103/PhysRevLett.90.016803
16. F. Wegner, Ann. Phys. (Leipzig) 3, 77 (1994); ANPYA2 1521-3889
17. J. Stein, J. Stat. Phys. 88, 487 (1997); JSTPSB 0022-4715 10.1007/BF02508481
18. C. Knetter and G.S. Uhrig, Eur. Phys. J. B 13, 209 (2000); EPJBFY 1434-6028 10.1007/s100510050026
19. C. Knetter, K.P. Schmidt, and G.S. Uhrig, J. Phys. A JPHAC5 0305-4470 36, 7889 (2003). 10.1088/0305-4470/36/29/302
20. F. Verstraete and J.I. Cirac, arXiv:cond-mat/0407066.
21. J. Jordan, R. Orús, G. Vidal, F. Verstraete, and J.I. Cirac, Phys. Rev. Lett. 101, 250602 (2008). PRLTAO 0031-9007 10.1103/PhysRevLett.101.250602
22. R. Orús and G. Vidal, Phys. Rev. B PRBMDO 0163-1829 80, 094403 (2009). 10.1103/PhysRevB.80.094403
23. R. Orús, A.C. Doherty, and G. Vidal, Phys. Rev. Lett. 102, 077203 (2009). PRLTAO 0031-9007 10.1103/PhysRevLett.102.077203
24. H.-X. He, C.J. Hamer, and J. Oitmaa, J. Phys. A JPHAC5 0305-4470 23, 1775 (1990). 10.1088/0305-4470/23/10/018
25. H.-D. Chen and J. Hu, Phys. Rev. B PRBMDO 0163-1829 76, 193101 (2007). 10.1103/PhysRevB.76.193101
26. Z. Nussinov and E. Fradkin, Phys. Rev. B PRBMDO 0163-1829 71, 195120 (2005). 10.1103/PhysRevB.71.195120 (Pubitemid 43285270)
27. S. Dusuel, M. Kamfor, K.P. Schmidt, R. Thomale, and J. Vidal, Phys. Rev. B PRBMDO 0163-1829 81, 064412 (2010). 10.1103/PhysRevB.81.064412
28. See supplemental material at http://link.aps.org/supplemental/10.1103/ PhysRevLett.106.107203 for the high-order series expansion of the ground-state energy and of the one-quasiparticle gap.
29. J. Oitmaa, C.J. Hamer, and W.H. Zheng, Series Expansion Methods for Strongly Interacting Lattice Models (Cambridge University Press, Cambridge, 2006).
30. F. Verstraete, M.M. Wolf, D. Perez-García, and J.I. Cirac, Phys. Rev. Lett. 96, 220601 (2006). PRLTAO 0031-9007 10.1103/PhysRevLett.96.220601 (Pubitemid 43839573)
31. A. Kitaev and J. Preskill, Phys. Rev. Lett. 96, 110404 (2006); PRLTAO 0031-9007 10.1103/PhysRevLett.96.110404
32. M. Levin and X.-G. Wen, Phys. Rev. Lett. 96, 110405 (2006). PRLTAO 0031-9007 10.1103/PhysRevLett.96.110405
33. N. Schuch, I. Cirac, and D. Perez-García, Ann. Phys. (N.Y.) 325, 2153 (2010); APNYA6 0003-4916 10.1016/j.aop.2010.05.008
34. X. Chen, B. Zeng, Z.-C. Gu, I.L. Chuang, and X.-G. Wen, Phys. Rev. B PRBMDO 0163-1829 82, 165119 (2010); 10.1103/PhysRevB.82.165119
35. L. Tagliacozzo and G. Vidal, arXiv:1007.4145 [Phys. Rev. B PRBMDO 0163-1829 (to be published)].
36. E. Ardonne, P. Fendley, and E. Fradkin, Ann. Phys. (N.Y.) 310, 493 (2004). APNYA6 0003-4916 10.1016/j.aop.2004.01.004 (Pubitemid 38457640)
37. S.V. Isakov, P. Fendley, A.W.W. Ludwig, S. Trebst, and M. Troyer, arXiv:1012.3806.