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Advances in Condensed Matter Physics
Volume 2011 (2011), Article ID 349362, 10 pages
http://dx.doi.org/10.1155/2011/349362
Review Article

Coherence and Disorder in Bilayer Quantum Hall Systems

1Department of Physics, Indiana University, Bloomington, IN 47405, USA
2Department of Physics and Astronomy, University of Kentucky, Lexington, KY 40506, USA

Received 25 May 2010; Accepted 1 October 2010

Academic Editor: Melinda Kellogg

Copyright © 2011 H. A. Fertig and Ganpathy Murthy. 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. D.-H. Lee and C. L. Kane, “Boson-vortex-Skyrmion duality, spin-singlet fractional quantum hall effect, and spin-1/2 anyon superconductivity,” Physical Review Letters, vol. 64, no. 12, pp. 1313–1317, 1990. View at Publisher · View at Google Scholar · View at MathSciNet
  2. S. L. Sondhi, A. Karlhede, S. A. Kivelson, and E. H. Rezayi, “Skyrmions and the crossover from the integer to fractional quantum Hall effect at small Zeeman energies,” Physical Review B, vol. 47, no. 24, pp. 16419–16426, 1993. View at Publisher · View at Google Scholar · View at Scopus
  3. E. H. Rezayi, “Reversed-spin excitations of the fractionally quantized Hall effect from finite-size calculations,” Physical Review B, vol. 36, no. 10, pp. 5454–5457, 1987. View at Publisher · View at Google Scholar · View at Scopus
  4. E. H. Rezayi, “Wave functions and other properties of spin-reversed quasiparticles at =1/m Landau-level occupation,” Physical Review B, vol. 43, no. 7, pp. 5944–5949, 1991. View at Publisher · View at Google Scholar
  5. H. A. Fertig, L. Brey, R. Côté, and A. H. MacDonald, “Charged spin-texture excitations and the Hartree-Fock approximation in the quantum Hall effect,” Physical Review B, vol. 50, no. 15, pp. 11018–11021, 1994. View at Publisher · View at Google Scholar · View at Scopus
  6. S. E. Barrett, G. Dabbagh, L. N. Pfeiffer, K. W. West, and R. Tycko, “Optically pumped NMR evidence for finite-size Skyrmions in GaAs quantum wells near Landau level filling ν=1,” Physical Review Letters, vol. 74, no. 25, pp. 5112–5115, 1995. View at Publisher · View at Google Scholar · View at Scopus
  7. A. Schmeller, J. P. Eisenstein, L. N. Pfeiffer, and K. W. West, “Evidence for skyrmions and single spin flips in the integer quantized hall effect,” Physical Review Letters, vol. 75, no. 23, pp. 4290–4293, 1995. View at Publisher · View at Google Scholar · View at Scopus
  8. G. Murthy, “Effects of disorder on the ν = 1 quantum hall state,” Physical Review B, vol. 64, no. 24, Article ID 241309, 4 pages, 2001. View at Scopus
  9. A. H. MacDonald, S. M. Girvin, S. Das Sarma, and A. Pinczuk, Perpspectives in Quantum Hall Effects, John Wiley & Sons, New York, NY, USA, 1996.
  10. J. Bourassa, B. Roostaei, R. Côté, H. A. Fertig, and K. Mullen, “Pseudospin vortex-antivortex states with interwoven spin textures in double-layer quantum Hall systems,” Physical Review B, vol. 74, no. 19, Article ID 195320, 14 pages, 2006. View at Publisher · View at Google Scholar · View at Scopus
  11. P. Giudici, K. Muraki, N. Kumada, Y. Hirayama, and T. Fujisawa, “Spin-dependent phase diagram of the vT=1 bilayer electron system,” Physical Review Letters, vol. 100, no. 10, Article ID 106803, 4 pages, 2008. View at Publisher · View at Google Scholar · View at Scopus
  12. 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, no. 1, 2010. View at Publisher · View at Google Scholar
  13. G. Murthy and S. Sachdev, “Quantum hall to insulator transition in the bilayer quantum hall ferromagnet,” Physical Review Letters, vol. 101, no. 22, Article ID 226801, 4 pages, 2008. View at Publisher · View at Google Scholar · View at Scopus
  14. L. Brey, H. A. Fertig, R. Côté, and A. H. MacDonald, “Charged pseudospin textures in double-layer quantum Hall systems: bimerons and meron crystals,” Physical Review B, vol. 54, no. 23, pp. 16888–16902, 1996. View at Publisher · View at Google Scholar · View at Scopus
  15. K. Moon, H. Mori, and H. Mori, “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
  16. H. A. Fertig, “Deconfinement in the two-dimensional XY model,” Physical Review Letters, vol. 89, no. 3, Article ID 035703, 4 pages, 2002. View at Publisher · View at Google Scholar
  17. H. A. Fertig and J. P. Straley, “Deconfinement and dissipation in quantum hall Josephson tunneling,” Physical Review Letters, vol. 91, no. 4, Article ID 046806, 4 pages, 2003. View at Publisher · View at Google Scholar · View at Scopus
  18. H. A. Fertig and G. Murthy, “Coherence network in the quantum hall bilayer,” Physical Review Letters, vol. 95, no. 15, Article ID 156802, 4 pages, 2005. View at Publisher · View at Google Scholar · View at Scopus
  19. H. A. Fertig, “Energy spectrum of a layered system in a strong magnetic field,” Physical Review B, vol. 40, no. 2, pp. 1087–1095, 1989. View at Publisher · View at Google Scholar · View at Scopus
  20. A. H. MacDonald, H. A. Fertig, and L. Brey, “Skyrmions without sigma models in quantum hall ferromagnets,” Physical Review Letters, vol. 76, no. 12, pp. 2153–2156, 1996. View at Scopus
  21. M. Kellogg, J. P. Eisenstein, L. N. Pfeiffer, and K. W. West, “Vanishing hall resistance at high magnetic field in a double-layer two-dimensional electron system,” Physical Review Letters, vol. 93, no. 3, Article ID 036801, 4 pages, 2004. View at Publisher · View at Google Scholar · View at Scopus
  22. E. Tutuc, M. Shayegan, and D. A. Huse, “Counterflow measurements in strongly correlated GaAs hole bilayers: evidence for electron-hole pairing,” Physical Review Letters, vol. 93, no. 3, Article ID 036802, 4 pages, 2004. View at Publisher · View at Google Scholar · View at Scopus
  23. X. G. Wen and A. Zee, “Tunneling in double-layered quantum Hall systems,” Physical Review B, vol. 47, no. 4, pp. 2265–2270, 1993. View at Publisher · View at Google Scholar
  24. 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
  25. L. Tiemann, Y. Yoon, W. Dietsche, K. Von Klitzing, and W. Wegscheider, “Dominant parameters for the critical tunneling current in bilayer exciton condensates,” Physical Review B, vol. 80, no. 16, Article ID 165120, 2009. View at Publisher · View at Google Scholar
  26. J.-J. Su and A. H. MacDonald, “Critical tunneling currents in quantum Hall superfluids: pseudospin-transfer torque theory,” Physical Review B, vol. 81, no. 18, Article ID 184523, 11 pages, 2010. View at Publisher · View at Google Scholar
  27. D. V. Fil and S. I. Shevchenko, “Josephson vortex motion as a source for dissipation of superflow of e-h pairs in bilayers,” Journal of Physics Condensed Matter, vol. 21, no. 21, Article ID 215701, 2009. View at Publisher · View at Google Scholar · View at Scopus
  28. M. Abolfath, A. H. MacDonald, and L. Radzihovsky, “Critical currents of ideal quantum Hall superfluids,” Physical Review B, vol. 68, no. 15, Article ID 155318, 16 pages, 2003. View at Publisher · View at Google Scholar · View at Scopus
  29. P. R. Eastham, N. R. Cooper, and D. K. K. Lee, “Vortex states of a disordered quantum Hall bilayer,” Physical Review B, vol. 80, no. 4, Article ID 045302, 5 pages, 2009. View at Publisher · View at Google Scholar
  30. A. L. Efros, “Density of states of 2D electron gas and width of the plateau of IQHE,” Solid State Communications, vol. 65, no. 11, pp. 1281–1284, 1988.
  31. A. L. Efros, F. G. Pikus, and V. G. Burnett, “Density of states of a two-dimensional electron gas in a long-range random potential,” Physical Review B, vol. 47, no. 4, pp. 2233–2243, 1993. View at Publisher · View at Google Scholar
  32. A. J. Leggett, Quantum Liquids, Oxford University Press, New York, NY, USA, 2006.
  33. W. Dieterich, I. Peschel, and W. R. Schneider, “Diffusion in periodic potentials,” Zeitschrift für Physik B Condensed Matter and Quanta, vol. 27, no. 2, pp. 177–187, 1977. View at Publisher · View at Google Scholar · View at Scopus
  34. A. D. K. Finck, A. R. Champagne, J. P. Eisenstein, L. N. Pfeiffer, and K. W. West, “Area dependence of interlayer tunneling in strongly correlated bilayer two-dimensional electron systems at vT=1,” Physical Review B, vol. 78, no. 7, Article ID 075302, 5 pages, 2008. View at Publisher · View at Google Scholar · View at Scopus
  35. R. D. Wiersma, J. G.S. Lok, and J. G.S. Lok, “Activated transport in the separate layers that form the vT=1 Exciton condensate,” Physical Review Letters, vol. 93, no. 26, Article ID 266805, 4 pages, 2004. View at Publisher · View at Google Scholar
  36. B. Roostaei, K. J. Mullen, H. A. Fertig, and S. H. Simon, “Theory of activated transport in hilayer quantum Hall systems,” Physical Review Letters, vol. 101, no. 4, Article ID 046804, 4 pages, 2008. View at Publisher · View at Google Scholar · View at Scopus
  37. S. C. Zhang, T. H. Hansson, and S. Kivelson, “Effective-field-theory model for the fractional quantum hall effect,” Physical Review Letters, vol. 62, no. 1, pp. 82–85, 1989. View at Publisher · View at Google Scholar · View at Scopus
  38. M. P. A. Fisher, P. B. Weichman, G. Grinstein, and D. S. Fisher, “Boson localization and the superfluid-insulator transition,” Physical Review B, vol. 40, no. 1, pp. 546–570, 1989. View at Publisher · View at Google Scholar · View at Scopus
  39. W. Chen, M. P. A. Fisher, and Y.-S. Wu, “Mott transition in an anyon gas,” Physical Review B, vol. 48, no. 18, pp. 13749–13761, 1993. View at Publisher · View at Google Scholar · View at Scopus
  40. X.-G. Wen and Y.-S. Wu, “Transitions between the quantum Hall states and insulators induced by periodic potentials,” Physical Review Letters, vol. 70, no. 10, pp. 1501–1504, 1993. View at Publisher · View at Google Scholar
  41. L. P. Pryadko and S.-C. Zhang, “Duality and universality for the Chern-Simons bosons,” Physical Review B, vol. 54, no. 7, pp. 4953–4955, 1996. View at Scopus
  42. J. Ye and S. Sachdev, “Coulomb interactions at quantum hall critical points of systems in a periodic potential,” Physical Review Letters, vol. 80, no. 24, pp. 5409–5412, 1998.
  43. A. W. W. Ludwig, M. P. A. Fisher, R. Shankar, and G. Grinstein, “Integer quantum Hall transition: an alternative approach and exact results,” Physical Review B, vol. 50, no. 11, pp. 7526–7552, 1994. View at Publisher · View at Google Scholar · View at Scopus
  44. J. Sun, G. Murthy, H. A. Fertig, and N. Bray-Ali, “Bilayer quantum Hall ferromagnet in a periodic potential,” Physical Review B, vol. 81, no. 19, Article ID 195314, 13 pages, 2010. View at Publisher · View at Google Scholar
  45. S. Sachdev and K. Park, “Ground states of quantum antiferromagnets in two dimensions,” Annals of Physics, vol. 298, no. 1, pp. 58–122, 2002. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  46. Y. Imry and S.-K. Ma, “Random-field instability of the ordered state of continuous symmetry,” Physical Review Letters, vol. 35, no. 21, pp. 1399–1401, 1975. View at Publisher · View at Google Scholar · View at Scopus
  47. M. Aizenman and J. Wehr, “Rounding of first-order phase transitions in systems with quenched disorder,” Physical Review Letters, vol. 62, no. 21, pp. 2503–2506, 1989. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  48. K. Hui and A. N. Berker, “Random-field mechanism in random-bond multicritical systems,” Physical Review Letters, vol. 62, no. 21, pp. 2507–2510, 1989. View at Publisher · View at Google Scholar · View at Scopus
  49. R. B. Griffiths, “Nonanalytic behavior above the critical point in a random ising ferromagnet,” Physical Review Letters, vol. 23, no. 1, pp. 17–19, 1969. View at Publisher · View at Google Scholar