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Advances in Condensed Matter Physics
Volume 2011, Article ID 614173, 5 pages
http://dx.doi.org/10.1155/2011/614173
Research Article

𝑝 -Wave Pairing in Quantum Hall Bilayers

1Scientific Computing Laboratory, Institute of Physics, University of Belgrade, P.O. Box 68, 11 000 Belgrade, Serbia
2Laboratoire de Physique des Solides, UMR 8502, CNRS, Université Paris-Sud, 91405 Orsay Cedex, France

Received 25 May 2010; Accepted 9 August 2010

Academic Editor: Emanuel Tutuc

Copyright © 2011 Z. Papić and M. V. Milovanović. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. B. I. Halperin, “Theory of the quantized Hall conductance,” Helvetica Physica Acta, vol. 56, pp. 75–82, 1983. View at Google Scholar
  2. We follow the conventions of Ref. 16.
  3. G. Moore and N. Read, “Nonabeuons in the fractional quantum hall effect,” Nuclear Physics B, vol. 360, no. 2-3, pp. 362–396, 1991. View at Google Scholar · View at Scopus
  4. Z. Papić, M. O. Goerbig, N. Regnault, and M. V. Milovanović, “Tunneling-driven breakdown of the 331 state and the emergent Pfaffian and composite Fermi liquid phases,” Physical Review B, vol. 82, Article ID 075302, 10 pages, 2010. View at Google Scholar
  5. B. I. Halperin, P. A. Lee, and N. Read, “Theory of the half-filled Landau level,” Physical Review B, vol. 47, no. 12, pp. 7312–7343, 1993. View at Publisher · View at Google Scholar · View at Scopus
  6. I. B. Spielman, J. P. Eisenstein, L. N. Pfeiffer, and K. W. West, “Resonantly enhanced tunneling in a double layer quantum hall ferromagnet,” Physical Review Letters, vol. 84, no. 25, pp. 5808–5811, 2000. View at Publisher · View at Google Scholar · View at Scopus
  7. K. Moon, H. Mori, K. Yang et al., “Spontaneous interlayer coherence in double-layer quantum Hall systems: charged vortices and Kosterlitz-Thouless phase transitions,” Physical Review B, vol. 51, no. 8, pp. 5138–5170, 1995. View at Publisher · View at Google Scholar · View at Scopus
  8. N. E. Bonesteel, I. A. McDonald, and C. Nayak, “Gauge fields and pairing in double-layer composite fermion metals,” Physical Review Letters, vol. 77, no. 14, pp. 3009–3012, 1996. View at Google Scholar · View at Scopus
  9. Y. B. Kim, C. Nayak, E. Demler, N. Read, and S. Das Sarma, “Bilayer paired quantum Hall states and Coulomb drag,” Physical Review B, vol. 63, no. 20, Article ID 205315, 2001. View at Google Scholar · View at Scopus
  10. G. Möller, S. H. Simon, and E. H. Rezayi, “Paired composite Fermion phase of quantum hall bilayers at ν=1/2+1/2,” Physical Review Letters, vol. 101, no. 17, Article ID 176803, 4 pages, 2008. View at Google Scholar
  11. G. Möller, S. H. Simon, and E. H. Rezayi, “Trial wave functions for ν=1/2+1/2 quantum Hall bilayers,” Physical Review B, vol. 79, no. 12, Article ID 125106, 23 pages, 2009. View at Google Scholar
  12. M. V. Milovanović and Z. Papić, “Nonperturbative approach to the quantum Hall bilayer,” Physical Review B, vol. 79, no. 11, Article ID 115319, 2009. View at Publisher · View at Google Scholar · View at Scopus
  13. R. B. Laughlin, “Anomalous quantum Hall effect: an incompressible quantum fluid with fractionally charged excitations,” Physical Review Letters, vol. 50, no. 18, pp. 1395–1398, 1983. View at Publisher · View at Google Scholar · View at Scopus
  14. E. Rezayi and N. Read, “Fermi-liquid-like state in a half-filled Landau level,” Physical Review Letters, vol. 72, no. 6, pp. 900–903, 1994. View at Publisher · View at Google Scholar · View at Scopus
  15. E. H. Rezayi and F. D. M. Haldane, “Incompressible paired Hall state, stripe order, and the composite fermion liquid phase in half-filled Landau levels,” Physical Review Letters, vol. 84, no. 20, pp. 4685–4688, 2000. View at Google Scholar · View at Scopus
  16. N. Read and D. Green, “Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries and the fractional quantum Hall effect,” Physical Review B, vol. 61, no. 15, pp. 10267–10297, 2000. View at Google Scholar · View at Scopus
  17. J. Jain, Composite Fermions, Cambridge University Press, Cambridge, UK, 2007.
  18. A. Lopez and E. Fradkin, “Fermionic Chern-Simons theory for the fractional quantum Hall effect in bilayers,” Physical Review B, vol. 51, no. 7, pp. 4347–4368, 1995. View at Publisher · View at Google Scholar · View at Scopus
  19. L. Jiang and J. Ye, “Ground state, quasihole, a pair of quasihole wave functions, and instability in bilayer quantum Hall systems,” Physical Review B, vol. 74, no. 24, Article ID 245311, 8 pages, 2006. View at Google Scholar
  20. S. H. Simon, E. H. Rezayi, and M. V. Milovanović, “Coexistence of composite bosons and composite fermions in ν=1/2+1/2 quantum hall bilayers,” Physical Review Letters, vol. 91, no. 4, Article ID 046803, 2003. View at Google Scholar · View at Scopus
  21. Z. Papić and M. V. Milovanović, “Coherent states in double quantum well systems,” submitted to Advances in Condensed Matter Physics.
  22. A. D. K. Finck, J. P. Eisenstein, L. N. Pfeiffer, and K. W. West, “Quantum hall exciton condensation at full spin polarization,” Physical Review Letters, vol. 104, Article ID 016801, 4 pages, 2010. View at Google Scholar
  23. P. Giudici, K. Muraki, N. Kumada, and T. Fujisawa, “Intrinsic gap and exciton condensation in the νT=1 bilayer system,” Physical Review Letters, vol. 104, Article ID 056802, 4 pages, 2010. View at Google Scholar
  24. M. R. Peterson and S. Das Sarma, “Quantum Hall phase diagram of half-filled bilayers in the lowest and the second orbital Landau levels: abelian versus non-Abelian incompressible fractional quantum Hall states,” Physical Review B, vol. 81, Article ID 165304, 17 pages, 2010. View at Google Scholar