Quasiparticles and excitons for the Pfaffian quantum Hall state

Physical Review B - Condensed Matter and Materials Physics

Volumn 85, Issue 3, 2012, Pages

  Rodriguez, Ivan D ^a   Sterdyniak, A ^b   Hermanns, M ^c   Slingerland, J K ^a,d   Regnault, N ^b  

^a NATIONAL UNIVERSITY OF IRELAND   (Ireland)

^b CNRS   (France)

^c PRINCETON UNIVERSITY   (United States)

^d DUBLIN INSTITUTE FOR ADVANCED STUDIES   (Ireland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84856483120     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.85.035128     Document Type: Article

References (85)

1. R. Willett, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.59.1776 59, 1776 (1987).
2. W. Pan, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.83.3530 83, 3530 (1999)
3. e-print arXiv: cond-mat/9907356 (unpublished).
4. G. Moore and N. Read, Nucl. Phys. B NUPBBO 0550-3213 10.1016/0550- 3213(91)90407-O 360, 362 (1991).
5. M. Greiter, X. G. Wen, and F. Wilczek, Nucl. Phys. B NUPBBO 0550-3213 10.1016/0550-3213(92)90401-V 374, 567 (1992).
6. C. Nayak and F. Wilczek, Nucl. Phys. B NUPBBO 0550-3213 10.1016/0550-3213(96)00430-0 479, 529 (1996). (Pubitemid 126161210)
7. N. Read and E. Rezayi, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.54. 16864 54, 16864 (1996).
8. P. Bonderson, V. Gurarie, and C. Nayak, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.83.075303 83, 075303 (2011).
9. A. Y. Kitaev, Ann. Phys. APNYA6 0003-4916 10.1016/S0003-4916(02)00018-0 303, 2 (2003). (Pubitemid 36177417)
10. M. H. Freedman, Proc. Natl. Acad. Sci. USA PNASA6 0027-8424 10.1073/pnas.95.1.98 95, 98 (1998). (Pubitemid 28103913)
11. J. Preskill, Fault-tolerant quantum computation, in Introduction to Quantum Computation, edited by, H.-K. Lo, S. Popescu, and, T. P. Spiller, (World Scientific, 1998).
12. C. Nayak, S. H. Simon, A. Stern, M. Freedman, and S. Das Sarma, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.80.1083 80, 1083 (2008).
13. M. Dolev, M. Heiblum, V. Umansky, A. Stern, and D. Mahalu, Nature (London) NATUAS 0028-0836 10.1038/nature06855 452, 829 (2008). (Pubitemid 351550867)
14. R. L. Willett, L. N. Pfeiffer, and K. W. West, Proc. Nat. Acad. Sci. USA PNASA6 0027-8424 10.1073/pnas.0812599106 106, 8853 (2009)
15. e-print arXiv: 0807.0221.
16. R. L. Willett, L. N. Pfeiffer, and K. W. West, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.82.205301 82, 205301 (2010).
17. S. Das Sarma, M. Freedman, and C. Nayak, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.166802 94, 166802 (2005). (Pubitemid 40620334)
18. P. Bonderson, A. Kitaev, and K. Shtengel, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.016803 96, 016803 (2006). (Pubitemid 43248386)
19. A. Stern and B. I. Halperin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.016802 96, 016802 (2006). (Pubitemid 43248385)
20. P. Bonderson, K. Shtengel, and J. K. Slingerland, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.016401 97, 016401 (2006). (Pubitemid 44015291)
21. S.-S. Lee, S. Ryu, C. Nayak, and M. P. A. Fisher, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.99.236807 99, 236807 (2007). (Pubitemid 350231903)
22. M. Levin, B. I. Halperin, and B. Rosenow, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.99.236806 99, 236806 (2007). (Pubitemid 350231904)
23. M. Greiter, X.-G. Wen, and F. Wilczek, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.66.3205 66, 3205 (1991).
24. C. Toke, N. Regnault, and J. K. Jain, Solid State Commun. SSCOA4 0038-1098 10.1016/j.ssc.2007.03.061 144, 504 (2007). (Pubitemid 350088927)
25. N. Regnault and T. Jolicoeur, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.76.235324 76, 235324 (2007).
26. N. Read and E. Rezayi, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.59. 8084 59, 8084 (1999).
27. E. Ardonne, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/35/3/301 35, 447 (2002). (Pubitemid 37024003)
28. N. Read, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.73.245334 73, 245334 (2006). (Pubitemid 43962764)
29. X.-G. Wen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.70.355 70, 355 (1993).
30. G. J. Sreejith, A. Wójs, and J. K. Jain, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.107.136802 107, 136802 (2011).
31. G. J. Sreejith, C. Töke, A. Wójs, and J. K. Jain, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.107.086806 107, 086806 (2011).
32. A. Cappelli, L. S. Georgiev, and I. T. Todorov, Nucl. Phys. B NUPBBO 0550-3213 10.1016/S0550-3213(00)00774-4 599, 499 (2001). (Pubitemid 33376515)
33. J. K. Jain, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.63.199 63, 199 (1989).
34. T. H. Hansson, M. Hermanns, N. Regnault, and S. Viefers, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.102.166805 102, 166805 (2009).
35. T. H. Hansson, M. Hermanns, and S. Viefers, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.80.165330 80, 165330 (2009).
36. B. A. Bernevig and F. D. M. Haldane, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.102.066802 102, 066802 (2009);
37. B. A. Bernevig and F. D. M. Haldane, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.103.019902 103, 019902 (2009).
38. P. Bonderson, A. E. Feiguin, and C. Nayak, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.106.186802 106, 186802 (2011).
39. G. Möller, A. Wójs, and N. R. Cooper, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.107.036803 107, 036803 (2011).
40. G. E. Simion and J. J. Quinn, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.81.115314 81, 115314 (2010).
41. A. R. Wright and B. Rosenow, e-print arXiv: 1106.3311 (unpublished).
42. S. Fubini, Mod. Phys. Lett. A MPLAEQ 0217-7323 10.1142/S0217732391000336 6, 347 (1991).
43. B. A. Bernevig and F. D. M. Haldane, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.101.246806 101, 246806 (2008).
44. E. Ardonne, R. Kedem, and M. Stone, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/38/3/006 38, 617 (2005). (Pubitemid 40166906)
45. A. Cappelli, C. Trugenberger, and G. Zemba, Nucl. Phys. B NUPBBO 0550-3213 10.1016/0550-3213(95)00233-I 448, 470 (1995).
46. B. A. Bernevig and F. D. M. Haldane, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.100.246802 100, 246802 (2008).
47. B. A. Bernevig and N. Regnault, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.103.206801 103, 206801 (2009).
48. R. P. Stanley, Adv. Math. ADMTA4 0001-8708 10.1016/0001-8708(89)90015-7 77, 76 (1989).
49. B. A. Bernevig (private communication).
50. J. K. Jain, Composite Fermions (Cambridge University Press, 2007).
51. S. M. Girvin and T. Jach, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.29.5617 29, 5617 (1984).
52. X. G. Wu and J. K. Jain, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.51.1752 51, 1752 (1995).
53. G. S. Jeon and J. K. Jain, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.68.165346 68, 165346 (2003).
54. G. Dev and J. K. Jain, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.69.2843 69, 2843 (1992).
55. X. G. Wu, G. Dev, and J. K. Jain, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.71.153 71, 153 (1993).
56. J. K. Jain, C. Chang, G. S. Jeon, and M. R. Peterson, Solid State Commun. SSCOA4 0038-1098 10.1016/S0038-1098(03)00575-1 127, 805 (2003).
57. R. Kamilla, X. G. Wu, and J. K. Jain, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.76.1332 76, 1332 (1996).
58. J. K. Jain and R. K. Kamilla, Int. J. Mod. Phys. B IJPBEV 0217-9792 10.1142/S0217979297001301 11, 2621 (1997).
59. J. K. Jain and R. K. Kamilla, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.55.R4895 55, 4895 (1997).
60. O. Heinonen, Composite Fermions: A Unified View of the Quantum Hall Regime (World Scientific, 1998).
61. W. Pan, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90.016801 90, 016801 (2003).
62. T. D. Rhone, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.106. 096803 106, 096803 (2011).
63. A. Sterdyniak, B. A. Bernevig, N. Regnault, and F. D. M. Haldane, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/13/10/105001 13, 105001 (2011).
64. B. A. Bernevig and F. D. M. Haldane, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.102.066802 102, 066802 (2009).
65. B. A. Bernevig (unpublished).
66. T. H. Hansson, C.-C. Chang, J. K. Jain, and S. Viefers, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.76.075347 76, 075347 (2007).
67. T.-L. Ho, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.75.1186 75, 1186 (1995).
68. B. I. Halperin, Helv. Phys. Acta 56, 75 (1983).
69. N. Read and D. Green, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.61. 10267 61, 10267 (2000).
70. Z. Papić, M. O. Goerbig, N. Regnault, and M. V. Milovanović, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.82.075302 82, 075302 (2010).
71. C.-C. Chang, N. Regnault, T. Jolicoeur, and J. K. Jain, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.72.013611 72, 013611 (2005). (Pubitemid 41492543)
72. B. A. Bernevig and N. Regnault, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.103.206801 103, 206801 (2009).
73. N. R. Cooper, Adv. Phys. ADPHAH 0001-8732 10.1080/00018730802564122 57, 539 (2008).
74. F. D. M. Haldane, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett. 51.605 51, 605 (1983).
75. P. Bonderson and J. K. Slingerland, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.78.125323 78, 125323 (2008).
76. P. Bonderson, A. E. Feiguin, G. Moller, and J. K. Slingerland, e-print arXiv: 0901.4965 (unpublished).
77. M. Hermanns, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.104. 056803 104, 056803 (2010).
78. N. Regnault, M. O. Goerbig, and T. Jolicoeur, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.101.066803 101, 066803 (2008).
79. H. Li and F. D. M. Haldane, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.101.010504 101, 010504 (2008).
80. A. Sterdyniak, N. Regnault, and B. A. Bernevig, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.106.100405 106, 100405 (2011).
81. A. Sterdyniak, A. Chandran, N. Regnault, B. A. Bernevig, and P. Bonderson, e-print arXiv: 1111.2810 (unpublished).
82. J. Dubail, N. Read, and E. H. Rezayi, e-print arXiv: 1111.2811 (unpublished).
83. I. D. Rodriguez, S. H. Simon, and J. K. Slingerland, e-print arXiv: 1111.3634 (unpublished).
84. F. D. M. Haldane and E. H. Rezayi, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.31.2529 31, 2529 (1985).
85. M. Hermanns, J. Suorsa, E. J. Bergholtz, T. H. Hansson, and A. Karlhede, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.77.125321 77, 125321 (2008).