HOME    |    BROWSE    |    SEARCH    |    SUBSCRIPTION   |    SUBMISSION    |    REGISTRATION

Quick Search:
Author: Title/Abstract: Vol./No: Page:
PTP Online Top > Supplement (2005) > No.160
| Next Article >

Prog. Theor. Phys. Supplement No.160 (2005) pp. 314-336

[ Full Text PDF (305K) ]  [ Buy This Article ]

Competing Orders and Non-Landau-Ginzburg-Wilson Criticality in (Bose) Mott Transitions

Leon Balents,1 Lorenz Bartosch,2,3 Anton Burkov,1 Subir Sachdev2 and Krishnendu Sengupta4

1Physics Department, University of California, Santa Barbara, USA
2Department of Physics, Yale University, P.O. Box 208120, New Haven, CT 06520-8120, USA
3Institut für Theoretische Physik, Universität Frankfurt, Postfach 111932, 60054 Frankfurt, Germany
4Department of Physics, University of Toronto, Toronto, Ontario M5S 1A7, Canada

Abstract:

This paper reviews a recent non-Landau-Ginzburg-Wilson (LGW) approach to superfluid to Mott insulator transitions in two dimensional bosonic lattice systems, using a dual vortex field theory [L. Balents, L. Bartosch, A. Burkov, S. Sachdev and K. Sengupta, Phys. Rev. B 71 (2005), 144508; Phys. Rev. B 71 (2005), 144509]. The physical interpretation of conventional LGW theory of quantum criticality is re-examined and similarities and differences with the vortex picture are discussed. The “unification” of various competing (insulating) orders, and the coincidence of these orders with the Mott transition are readily understood formulation. Some aspects of the recent theory of “deconfined” quantum criticality, which are to an extent subsumed approach, are discussed. A pedagogical presentation of the “nuts and bolts” of boson-vortex duality at the hamiltonian level is included, tailored to a condensed matter audience.


URL : http://ptp.ipap.jp/link?PTPS/160/314/
DOI : 10.1143/PTPS.160.314

[ Full Text PDF (305K) ]  [ Buy This Article ]  Citation:

References:

  1. L. Balents, L. Bartosch, A. Burkov, S. Sachdev and K. Sengupta, Phys. Rev. B 71 (2005), 144508[APS].
  2. L. Balents, L. Bartosch, A. Burkov, S. Sachdev and K. Sengupta, Phys. Rev. B 71 (2005), 144509[APS].
  3. S. A. Kivelson, E. Fradkin, V. Oganesyan, I. P. Bindloss, J. M. Tranquada, A. Kapitulnik and C. Howald, Rev. Mod. Phys. 75 (2003), 1201[APS].
  4. A. Fang, C. Howald, N. Kaneko, M. Greven and A. Kapitulnik, Phys. Rev. B 70 (2004), 214514[APS].
  5. M. Vershinin, S. Misra, S. Ono, Y. Abe, Y. Ando and A. Yazdani, Science 303 (2004), 1995[Science].
  6. K. McElroy, D.-H. Lee, J. E. Hoffman, K. M. Lang, E. W. Hudson, H. Eisaki, S. Uchida, J. Lee and J. C. Davis, Phys. Rev. Lett. 94 (2005), 197005[APS].
  7. T. Hanaguri, C. Lupien, Y. Kohsaka, D.-H. Lee, M. Azuma, M. Takano, H. Takagi and J. C. Davis, Nature 430 (2004), 1001[CrossRef].
  8. M. B. Hastings, Europhys. Lett. 70 (2005), 824[CrossRef]; Phys. Rev. B 69 (2004), 104431[APS].
  9. M. Oshikawa, Phys. Rev. Lett. 90 (2003), 236401 [APS][ Errata; 91 (2003), 109901[APS]].
  10. M. P. A. Fisher, P. B. Weichman, G. Grinstein and D. S. Fisher, Phys. Rev. B 40 (1989), 546[APS].
  11. M. Greiner, O. Mandel, T. Esslinger, T. W. Hnsch and I. Bloch, Nature 415 (2002), 39[CrossRef].
  12. C. Dasgupta and B. I. Halperin, Phys. Rev. Lett. 47 (1981), 1556[APS].
  13. D. R. Nelson, Phys. Rev. Lett. 60 (1988), 1973[APS].
  14. M. P. A. Fisher and D.-H. Lee, Phys. Rev. B 39 (1989), 2756[APS].
    D.-H. Lee and M. P. A. Fisher, Phys. Rev. Lett. 63 (1989), 903[APS].
  15. C. Lannert, M. P. A. Fisher and T. Senthil, Phys. Rev. B 63 (2001), 134510[APS].
  16. S. Sachdev and K. Park, Ann. of Phys. 298 (2002), 58[CrossRef].
  17. Z. Tesanovic, Phys. Rev. Lett. 93 (2004), 217004[APS].
  18. X.-G. Wen, Phys. Rev. B 65 (2002), 165113[APS].
  19. T. Senthil, A. Vishwanath, L. Balents, S. Sachdev and M. P. A. Fisher, Science 303 (2004), 1490[Science].
    T. Senthil, L. Balents, S. Sachdev, A. Vishwanath and M. P. A. Fisher, Phys. Rev. B 70 (2004), 144407[APS].
  20. E. Fradkin and S. A. Kivelson, Mod. Phys. Lett. B 4 (1990), 225.
  21. J. E. Hoffman, E. W. Hudson, K. M. Lang, V. Madhavan, S. H. Pan, H. Eisaki, S. Uchida and J. C. Davis, Science 295 (2002), 466[Science].
  22. L. Bartosch, L. Balents and S. Sachdev, cond-mat/0502002[e-print arXiv].
  23. A. van Otterlo and K.-H. Wagenblast, Phys. Rev. Lett. 72 (1994), 3598[APS].
    A. van Otterlo et al., Phys. Rev. B 52 (1995), 16176[APS].
  24. D. R. Hofstadter, Phys. Rev. B 14 (1976), 2239[APS].

[PTP HOME] [BROWSE] [SEARCH] [SUBSCRIPTION] [SUBMISSION] [REGISTRATION]

Copyright © Progress of Theoretical Physics 2010 All rights reserved.