Table of Contents Author Guidelines Submit a Manuscript
Advances in Condensed Matter Physics
Volume 2011, Article ID 815169, 7 pages
http://dx.doi.org/10.1155/2011/815169
Research Article

Trial Wavefunctions for the Goldstone Mode in 𝜈 = 1 / 2 + 1 / 2 Quantum Hall Bilayers

1TCM Group, Cavendish Laboratory, JJ Thomson Avenue, Cambridge CB3 0HE, UK
2Rudolf Peierls Centre for Theoretical Physics, Oxford University, Oxford OX1 3NP, UK

Received 12 September 2010; Accepted 28 October 2010

Academic Editor: Yogesh Joglekar

Copyright © 2011 Gunnar Möller and Steven H. Simon. 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. S. Das Sarma and A. Pinczuk, Eds., Perspectives in Quantum Hall effects, Wiley, New York, NY, USA, 1997, see chapter 2 by J. Eisenstein and chapter 5 by S. M. Girvin and A. H. MacDonald.
  2. J. P. Eisenstein and A. H. MacDonald, “Bose-Einstein condensation of excitons in bilayer electron systems,” Nature, vol. 432, no. 7018, pp. 691–694, 2004. View at Publisher · View at Google Scholar · View at PubMed · View at Scopus
  3. 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 · View at Scopus
  4. B. I. Halperin, “Theory of the quantized Hall conductance,” Helvetica Physica Acta, vol. 56, p. 75, 1983. View at Google Scholar
  5. S. Q. Murphy, J. P. Eisenstein, G. S. Boebinger, L. N. Pfeiffer, and K. W. West, “Many-body integer quantum Hall effect: evidence for new phase transitions,” Physical Review Letters, vol. 72, no. 5, pp. 728–731, 1994. 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. 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, 2004. View at Publisher · View at Google Scholar · View at Scopus
  8. R. D. Wiersma, J. G. S. Lok, and J. G. S. Lok, “Activated transport in the separate layers that form the νT=1 Exciton condensate,” Physical Review Letters, vol. 93, no. 26, Article ID 266805, 2004. View at Publisher · View at Google Scholar · View at Scopus
  9. 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, 2004. View at Publisher · View at Google Scholar · View at Scopus
  10. N. Kumada, K. Muraki, K. Hashimoto, and Y. Hirayama, “Spin degree of freedom in the ν=1 bilayer electron system investigated by nuclear spin relaxation,” Physical Review Letters, vol. 94, no. 9, Article ID 096802, 2005. View at Publisher · View at Google Scholar · View at Scopus
  11. A. R. Champagne, J. P. Eisenstein, L. N. Pfeiffer, and K. W. West, “Evidence for a finite-temperature phase transition in a bilayer quantum hall system,” Physical Review Letters, vol. 100, no. 9, Article ID 096801, 2008. View at Publisher · View at Google Scholar · View at Scopus
  12. K. Yang, K. Moon, and K. Moon, “Spontaneous interlayer coherence in double-layer quantum Hall systems: symmetry-breaking interactions, in-plane fields, and phase solitons,” Physical Review B, vol. 54, no. 16, pp. 11644–11658, 1996. View at Google Scholar · View at Scopus
  13. Y. N. Joglekar and A. H. MacDonald, “Microscopic functional integral theory of quantum fluctuations in double-layer quantum Hall ferromagnets,” Physical Review B, vol. 64, no. 15, Article ID 155315, 10 pages, 2001. View at Google Scholar · View at Scopus
  14. 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, 9 pages, 2001. View at Google Scholar · View at Scopus
  15. J. Schliemann, S. M. Girvin, and A. H. MacDonald, “Strong correlation to weak correlation phase transition in bilayer quantum Hall systems,” Physical Review Letters, vol. 86, no. 9, pp. 1849–1852, 2001. View at Publisher · View at Google Scholar · View at Scopus
  16. S. H. Simon, E. H. Rezayi, and M. V. Milovanovic, “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, 4 pages, 2003. View at Google Scholar · View at Scopus
  17. K. Park, “Spontaneous pseudospin spiral order in bilayer quantum Hall systems,” Physical Review B, vol. 69, no. 4, Article ID 045319, 6 pages, 2004. View at Google Scholar
  18. N. Shibata and D. Yoshioka, “Ground state of ν=1 bilayer quantum hall systems,” Journal of the Physical Society of Japan, vol. 75, no. 4, Article ID 043712, 4 pages, 2006. View at Publisher · View at Google Scholar · View at Scopus
  19. 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, 2008. View at Publisher · View at Google Scholar · View at Scopus
  20. 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, 2009. View at Publisher · View at Google Scholar · View at Scopus
  21. M. Rasolt, F. Perrot, and A. H. MacDonald, “New gapless modes in the fractional quantum Hall effect of multicomponent fermions,” Physical Review Letters, vol. 55, no. 4, pp. 433–436, 1985. View at Publisher · View at Google Scholar · View at Scopus
  22. I. B. Spielman, J. P. Eisenstein, L. N. Pfeiffer, and K. W. West, “Observation of a linearly dispersing collective mode in a quantum Hall ferromagnet,” Physical Review Letters, vol. 87, no. 3, Article ID 036803, 4 pages, 2001. View at Google Scholar · View at Scopus
  23. M. Kellogg, I. B. Spielman, J. P. Eisenstein, L. N. Pfeiffer, and K. W. West, “Observation of quantized Hall drag in a strongly correlated bilayer electron system,” Physical Review Letters, vol. 88, no. 12, Article ID 126804, 4 pages, 2002. View at Google Scholar · View at Scopus
  24. M. Kellogg, J. P. Eisenstein, L. N. Pfeiffer, and K. W. West, “Bilayer quantum Hall systems at νT=1: coulomb drag and the transition from weak to strong interlayer coupling,” Physical Review Letters, vol. 90, no. 24, Article ID 246801, 4 pages, 2003. View at Google Scholar · View at Scopus
  25. E. Tutuc and M. Shayegan, “Interaction and disorder in bilayer counterflow transport at filling-factor one,” Physical Review B, vol. 72, no. 8, Article ID 081307, 4 pages, 2005. View at Publisher · View at Google Scholar
  26. F. D. M. Haldane, “Fractional quantization of the hall effect: a hierarchy of incompressible quantum fluid states,” Physical Review Letters, vol. 51, no. 7, pp. 605–608, 1983. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  27. A. Wójs, G. Möller, S. H. Simon, and N. R. Cooper, “Skyrmions in the moore-read state at ν=5/2,” Physical Review Letters, vol. 104, no. 8, Article ID 086801, 4 pages, 2010. View at Publisher · View at Google Scholar
  28. N. D'Ambrumenil and R. Morf, “Hierarchical classification of fractional quantum Hall states,” Physical Review B, vol. 40, no. 9, pp. 6108–6119, 1989. View at Publisher · View at Google Scholar · View at Scopus