Topological phases, Majorana modes and quench dynamics in a spin ladder system

New Journal of Physics

Volumn 13, Issue , 2011, Pages

  DeGottardi, Wade ^a   Sen, Diptiman ^b   Vishveshwara, Smitha ^a  

^a United States of America   (United States)

^b INDIAN INSTITUTE OF SCIENCE   (India)

Author keywords

[No Author keywords available]

Indexed keywords

DYNAMIC QUENCHING; FERMIONIC SYSTEMS; HONEYCOMB LATTICES; KITAEV MODEL; MAJORANA; NON-TRIVIAL; PARAMETER SPACES; QUANTUM CRITICAL POINTS; SALIENT FEATURES; SPIN LADDER SYSTEMS; SPIN SYSTEMS; TOPOLOGICAL INVARIANTS; TOPOLOGICAL PHASIS; TOPOLOGICAL PROPERTIES; VORTEX PATTERN;

HIGH ENERGY PHYSICS; HONEYCOMB STRUCTURES; SPIN DYNAMICS; VORTEX FLOW;

TOPOLOGY;

EID: 79960394153     PISSN: 13672630     EISSN: None     Source Type: Journal    
DOI: 10.1088/1367-2630/13/6/065028     Document Type: Article

References (80)

1. Kitaev A 2006 Ann. Phys. 321 2
2. Feng X-Y, Zhang G-M and Xiang T 2007 Phys. Rev. Lett. 98 087204
3. Chen H-D and Hu J 2007 Phys. Rev. B 76 193101
4. Baskaran G, Mandal S and Shankar R 2007 Phys. Rev. Lett. 98 247201
5. Lee D-H, Zhang G-M and Xiang T 2007 Phys. Rev. Lett. 99 196805
6. Yao H and Kivelson S A 2007 Phys. Rev. Lett. 99 247203
7. Chen H-D and Nussinov Z 2008 J. Phys. A: Math Theor. A 41 075001
8. Nussinov Z and Ortiz G 2008 Phys. Rev. B 77 064302
9. Schmidt K P, Dusuel S and Vidal J 2008 Phys. Rev. Lett. 100 057208
10. Kitaev A 2000 arXiv:cond-mat/0010440
11. Teo J C Y and Kane C L 2010 Phys. Rev. B 82 115120
12. Shelton D G, Nersesyan A A and Tsvelik A M 1996 Phys. Rev. B 53 8521
13. Lahtinen V and Pachos J K 2010 Phys. Rev. B 81 245132
14. Nayak C, Simon S H, Stern A, Freedman M and Das Sarma S 2008 Rev. Mod. Phys. 80 1083
15. Ivanov D A 2001 Phys. Rev. Lett. 86 268
16. Stone M and Chung S-B 2006 Phys. Rev. B 73 014505
17. Kells G, Bolukbasi A T, Lahtinen V, Slingerland J K, Pachos J K and Vala J 2008 Phys. Rev. Lett. 101 240404
18. Sau J D, Tewari S and Das Sarma S 2010 Phys. Rev. A 82 052322
19. Sau J D, Tewari S, Lutchyn R, Stanescu T and Das Sarma S 2010 Phys. Rev. B 82 214509
20. Oreg Y, Refael G and von Oppen F 2010 arXiv:1003.1145
21. Alicea J, Oreg Y, Refael G, von Oppen F and Fisher M P A 2011 Nat. Phys. 7 412
22. Shivamoggi V, Refael G and Moore J E 2010 arXiv:1004.4585
23. Kells G, Kailasvuori J, Slingerland J and Vala J 2010 arXiv:1012.5276
24. Hasan M Z and Kane C L 2010 Rev. Mod. Phys. 82 3045
25. Neupert T, Onoda S and Furusaki A 2010 Phys. Rev. Lett. 105 206404
26. Akhmerov A R, Dahlhaus J P, Hassler F, Wimmer M and Beenakker C W J 2011 Phys. Rev. Lett. 106 057001
27. Mao L, Shi J, Niu Q and Zhang C 2010 arXiv:1010.0932
28. Potter A C and Lee P A 2010 Phys. Rev. Lett. 105 227003 (arXiv:1011.6371)
29. Chung S B, Zhang H-J, Qi X-L and Zhang S-C 2010 arXiv:1011.6422
30. Hosur P, Ghaemi P, Mong R S K and Vishwanath A 2010 arXiv:1012.0330
31. Ioselevich P A and Feigel'man M V 2010 arXiv:1012.0407
32. Gangadharaiah S, Braunecker B, Simon P and Loss D 2011 arXiv: 1101.0094
33. Sela E, Altland A and Rosch A 2011 arXiv: 1103.4969
34. Wen X-G and Zee A 1989 Nucl. Phys. B 316 641
35. Wimmer M, Akhmerov A R, Medvedyeva M V, Tworzydlo J and Beenakker C W J 2010 Phys. Rev. Lett. 105 046803
36. Lieb E, Schultz T and Mattis D 1961 Ann. Phys. 16 407
37. Barouch E, McCoy B M and Dresden M 1970 Phys. Rev. A 2 1075
38. Barouch E and McCoy B M 1971 Phys. Rev. A 3 786
39. Bunder J E and McKenzie R H 1999 Phys. Rev. B 60 344
40. Kogut J B 1979 Rev. Mod. Phys. 51 659
41. Gogolin A O, Nersesyan A A and Yu L 1999 Nucl. Phys. B 540 705
42. Gogolin A O, Nersesyan A A and Tsvelik A M 1998 Bosonization and Strongly Correlated Systems (Cambridge: Cambridge University Press)
43. Ostlund S and Pandit R 1984 Phys. Rev. B 29 1394
44. Sen D and Lal S 2000 Phys. Rev. B 61 9001
45. Sen D and Lal S 2000 Europhys. Lett. 52 337
46. Jackiw R and Rebbi C 1976 Phys. Rev. D 13 3398
47. Kibble T W B 1976 J. Phys. A: Math. Theor. 9 1387
48. Kibble T W B 1980 Phys. Rep. 67 183
49. Zurek W H 1985 Nature 317 505
50. Zurek W H 1996 Phys. Rep. 276 177
51. Zurek W H, Dorner U and Zoller P 2005 Phys. Rev. Lett. 95 105701
52. Dziarmaga J 2005 Phys. Rev. Lett. 95 245701
53. Damski B 2005 Phys. Rev. Lett. 95 035701
54. Polkovnikov A 2005 Phys. Rev. B 72 161201
55. Polkovnikov A and Gritsev V 2008 Nat. Phys. 4 477
56. Cherng R W and Levitov L S 2006 Phys. Rev. A 73 043614
57. Mukherjee V, Divakaran U, Dutta A and Sen D 2007 Phys. Rev. B 76 174303
58. Divakaran U, Dutta A and Sen D 2008 Phys. Rev. B 78 144301
59. Divakaran U, Mukherjee V, Dutta A and Sen D 2009 J. Stat. Mech: Theory Express P02007
60. Deng S, Ortiz G and Viola L 2008 Europhys. Lett. 84 67008
61. Sengupta K, Sen D and Mondal S 2008 Phys. Rev. Lett. 100 077204
62. Mondal S, Sen D and Sengupta K 2008 Phys. Rev. B 78 045101
63. Sen D, Sengupta K and Mondal S 2008 Phys. Rev. Lett. 101 016806
64. Mondal S, Sengupta K and Sen D 2009 Phys. Rev. B 79 045128
65. Barankov R and Polkovnikov A 2008 Phys. Rev. Lett. 101 076801
66. De Grandi C, Gritsev V and Polkovnikov A 2010 Phys. Rev. B 81 012303
67. Bermudez A, Amico L and Martin-Delgado M A 2010 New J. Phys. 12 055014
68. Bermudez A, Patane D, Amico L and Martin-Delgado M A 2009 Phys. Rev. Lett. 102 135702
69. Dziarmaga J 2010 Adv. Phys. 59 1063
70. Dutta A, Divakaran U, Sen D, Chakrabarti B K, Rosenbaum T F and Aeppli G 2010 arXiv:1012.0653
71. Zener C 1932 Proc. R. Soc. A 137 696
72. Landau L and Lifshitz E M 1965 Quantum Mechanics: Non-Relativistic Theory 2nd edn (Oxford: Pergamon)
73. Sen D and Vishveshwara S 2010 Europhys. Lett. 91 66009
74. Duckheim M and Brouwer P W 2010 arXiv:1011.5839
75. Zhang C, Scarola V W, Tewari S and Das Sarma S 2007 Proc. Natl Acad. Sci. USA 104 18415
76. Han Y-J, Raussendorf R and Duan L-M 2007 Phys. Rev. Lett. 98 150404
77. Duan L-M, Demler E and Lukin M D 2003 Phys. Rev. Lett. 91 090402
78. Micheli A, Brennan G K and Zoller P 2006 Nat. Phys. 2 341
79. Ruegg A, Wen J and Fiete G A 2010 Phys. Rev. B 81 205115
80. Fiete G A, Chua V, Hu X and Kargarian M 2011 arXiv: 1106.0013v1