Trial wave functions for ν= 1 2 + 1 2 quantum Hall bilayers

Physical Review B - Condensed Matter and Materials Physics

Volumn 79, Issue 12, 2009, Pages

  Möller, Gunnar ^a   Simon, Steven H ^b   Rezayi, Edward H ^c  

^a UNIVERSITY OF CAMBRIDGE   (United Kingdom)

^b LUCENT TECHNOLOGIES   (United States)

^c CALIFORNIA STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 63249110559     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.79.125106     Document Type: Article

References (66)

1. Perspectives in Quantum Hall Effects, edited by, S. Das Sarma, and, A. Pinczuk, (Wiley, New York, 1997).
2. Composite Fermions, edited by, O. Heinonen, (World Scientific, Singapore, 1998), for a review of CF's.
3. N. E. Bonesteel, I. A. McDonald, and C. Nayak, Phys. Rev. Lett. 77, 3009 (1996). 10.1103/PhysRevLett.77.3009
4. J. P. Eisentein and A. H. MacDonald, Nature (London) 432, 691 (2004). 10.1038/nature03081
5. Y. N. Joglekar and A. H. MacDonald, Phys. Rev. B 64, 155315 (2001). 10.1103/PhysRevB.64.155315
6. J. Schliemann, S. M. Girvin, and A. H. MacDonald, Phys. Rev. Lett. 86, 1849 (2001). 10.1103/PhysRevLett.86.1849
7. J. Schliemann, Phys. Rev. B 67, 035328 (2003). 10.1103/PhysRevB.67.035328
8. A. Stern and B. I. Halperin, Phys. Rev. Lett. 88, 106801 (2002). 10.1103/PhysRevLett.88.106801
9. K. Park, Phys. Rev. B 69, 045319 (2004). 10.1103/PhysRevB.69.045319
10. K. Nomura and D. Yoshioka, Phys. Rev. B 66, 153310 (2002). 10.1103/PhysRevB.66.153310
11. Y. B. Kim, C. Nayak, E. Demler, N. Read, and S. DasSarma, Phys. Rev. B 63, 205315 (2001). 10.1103/PhysRevB.63.205315
12. T. Morinari, Phys. Rev. B 59, 7320 (1999). 10.1103/PhysRevB.59.7320
13. G. Möller, S. H. Simon, and E. H. Rezayi, Phys. Rev. Lett. 101, 176803 (2008). 10.1103/PhysRevLett.101.176803
14. J. Ye and L. Jiang, Phys. Rev. Lett. 98, 236802 (2007). 10.1103/PhysRevLett.98.236802
15. R. L. Doretto, A. O. Caldeira, and C. M. Smith, Phys. Rev. Lett. 97, 186401 (2006). 10.1103/PhysRevLett.97.186401
16. M. V. Milovanović and Z. Papić, arXiv:0710.0478 (unpublished).
17. S. Q. Murphy, J. P. Eisenstein, G. S. Boebinger, L. N. Pfeiffer, and K. W. West, Phys. Rev. Lett. 72, 728 (1994). 10.1103/PhysRevLett.72.728
18. I. B. Spielman, J. P. Eisenstein, L. N. Pfeiffer, and K. W. West, Phys. Rev. Lett. 84, 5808 (2000). 10.1103/PhysRevLett.84.5808
19. I. B. Spielman, J. P. Eisenstein, L. N. Pfeiffer, and K. W. West, Phys. Rev. Lett. 87, 036803 (2001). 10.1103/PhysRevLett.87.036803
20. M. Kellogg, I. B. Spielman, J. P. Eisenstein, L. N. Pfeiffer, and K. W. West, Phys. Rev. Lett. 88, 126804 (2002). 10.1103/PhysRevLett.88.126804
21. M. Kellogg, J. P. Eisenstein, L. N. Pfeiffer, and K. W. West, Phys. Rev. Lett. 90, 246801 (2003). 10.1103/PhysRevLett.90.246801
22. I. B. Spielman, M. Kellogg, J. P. Eisenstein, L. N. Pfeiffer, and K. W. West, Phys. Rev. B 70, 081303 (R) (2004). 10.1103/PhysRevB.70.081303
23. E. Tutuc, M. Shayegan, and D. A. Huse, Phys. Rev. Lett. 93, 036802 (2004). 10.1103/PhysRevLett.93.036802
24. R. D. Wiersma, J. G. S. Lok, S. Kraus, W. Dietsche, K. von Klitzing, D. Schuh, M. Bichler, H.-P. Tranitz, and W. Wegscheider, Phys. Rev. Lett. 93, 266805 (2004). 10.1103/PhysRevLett.93.266805
25. N. Kumada, K. Muraki, K. Hashimoto, and Y. Hirayama, Phys. Rev. Lett. 94, 096802 (2005). 10.1103/PhysRevLett.94.096802
26. A. R. Champagne, J. P. Eisenstein, L. N. Pfeiffer, and K. W. West, Phys. Rev. Lett. 100, 096801 (2008). 10.1103/PhysRevLett.100.096801
27. A. R. Champagne, A. D. K. Finck, J. P. Eisenstein, L. N. Pfeiffer, and K. W. West, Phys. Rev. B 78, 205310 (2008). 10.1103/PhysRevB.78.205310
28. Y. N. Joglekar, A. V. Balatsky, and A. H. MacDonald, Phys. Rev. Lett. 92, 086803 (2004). 10.1103/PhysRevLett.92.086803
29. K. Moon, H. Mori, K. Yang, S. M. Girvin, A. H. MacDonald, L. Zheng, D. Yoshioka, and S.-C. Zhang, Phys. Rev. B 51, 5138 (1995). 10.1103/PhysRevB.51. 5138
30. N. Shibata and D. Yoshioka, J. Phys. Soc. Jpn. 75, 043712 (2006). 10.1143/JPSJ.75.043712
31. N. E. Bonesteel, Phys. Rev. B 48, 11484 (1993). 10.1103/PhysRevB.48.11484
32. G. Moore and N. Read, Nucl. Phys. B 360, 362 (1991). 10.1016/0550- 3213(91)90407-O
33. M. Greiter, X. G. Wen, and F. Wilczek, Nucl. Phys. B 374, 567 (1992). 10.1016/0550-3213(92)90401-V
34. S. H. Simon, E. H. Rezayi, and M. V. Milovanovic, Phys. Rev. Lett. 91, 046803 (2003). 10.1103/PhysRevLett.91.046803
35. J. K. Jain, Phys. Rev. B 41, 7653 (1990). 10.1103/PhysRevB.41.7653
36. B. I. Halperin, P. A. Lee, and N. Read, Phys. Rev. B 47, 7312 (1993). 10.1103/PhysRevB.47.7312
37. R. L. Willett, R. R. Ruel, K. W. West, and L. N. Pfeiffer, Phys. Rev. Lett. 71, 3846 (1993). 10.1103/PhysRevLett.71.3846
38. N. Read, Semicond. Sci. Technol. 9, 1859 (1994). 10.1088/0268-1242/9/11S/ 002
39. K. L. Graham, S. S. Mandal, and J. K. Jain, Phys. Rev. B 67, 235302 (2003). 10.1103/PhysRevB.67.235302
40. G. Murthy and R. Shankar, Rev. Mod. Phys. 75, 1101 (2003). 10.1103/RevModPhys.75.1101
41. N. Read, Phys. Rev. B 58, 16262 (1998). 10.1103/PhysRevB.58.16262
42. A. Stern, B. I. Halperin, F. von Oppen, and S. H. Simon, Phys. Rev. B 59, 12547 (1999). 10.1103/PhysRevB.59.12547
43. J. K. Jain and R. K. Kamilla, Phys. Rev. B 55, R4895 (1997). 10.1103/PhysRevB.55.R4895
44. In Ref., we had used an abbreviated notation with k including Jastrow factors Ji. Here, we differently chose to write the Jastrow factors explicitly to highlight the different flux attachments leading to CFs and CBs.
45. T. Morinari, Phys. Rev. Lett. 81, 3741 (1998). 10.1103/PhysRevLett.81. 3741
46. P. G. de Gennes, Superconductivity of Metals and Alloys (Benjamin, New York, 1966).
47. K. Yang, K. Moon, L. Belkhir, H. Mori, S. M. Girvin, A. H. MacDonald, L. Zheng, and D. Yoshioka, Phys. Rev. B 54, 11644 (1996). 10.1103/PhysRevB.54.11644
48. B. I. Halperin, Helv. Phys. Acta 56, 75 (1983).
49. T.-L. Ho, Phys. Rev. Lett. 75, 1186 (1995). 10.1103/PhysRevLett.75.1186
50. F. D. M. Haldane, Phys. Rev. Lett. 51, 605 (1983). 10.1103/PhysRevLett. 51.605
51. N. Regnault, The Fractional Quantum Hall Effect Numerical Database, http://www.phys.ens.fr/~regnault/qhe/
52. D. Yoshioka, The Quantum Hall Effect, Series in Solid-State Sciences Vol. 133 (Springer, New York, 1998).
53. E. Rezayi and N. Read, Phys. Rev. Lett. 72, 900 (1994). 10.1103/PhysRevLett.72.900
54. M. V. Milovanovic, Phys. Rev. B 75, 035314 (2007). 10.1103/PhysRevB.75. 035314
55. G. Möller and S. H. Simon, Phys. Rev. B 77, 075319 (2008). 10.1103/PhysRevB.77.075319
56. See EPAPS Document No. E-PRBMDO-79-086908. For more information on EPAPS, see http://www.aip.org/pubservs/epaps.html
57. N. Read and D. Green, Phys. Rev. B 61, 10267 (2000). 10.1103/PhysRevB.61. 10267
58. F. D. M. Haldane and E. H. Rezayi, Phys. Rev. B 31, 2529 (1985). 10.1103/PhysRevB.31.2529
59. Y. N. Joglekar and A. H. MacDonald, Phys. Rev. B 65, 235319 (2002). 10.1103/PhysRevB.65.235319
60. I. B. Spielman, L. A. Tracy, J. P. Eisenstein, L. N. Pfeiffer, and K. W. West, Phys. Rev. Lett. 94, 076803 (2005). 10.1103/PhysRevLett.94.076803
61. G. Fano, F. Ortolani, and E. Colombo, Phys. Rev. B 34, 2670 (1986). 10.1103/PhysRevB.34.2670
62. I. Tamm, Z. Phys. 71, 141 (1931). 10.1007/BF01341701
63. T. T. Wu and C. N. Yang, Nucl. Phys. B 107, 365 (1976). 10.1016/0550-3213(76)90143-7
64. T. T. Wu and C. N. Yang, Phys. Rev. D 16, 1018 (1977). 10.1103/PhysRevD.16.1018
65. We choose to represent the pair correlation function using the symbol h (r) for the entirety of this paper, since g (r) is used as a symbol for the pair wave function.
66. C. J. Umrigar, J. Toulouse, C. Filippi, S. Sorella, and R. G. Hennig, Phys. Rev. Lett. 98, 110201 (2007). 10.1103/PhysRevLett.98.110201