Ring exchange, the exciton Bose liquid, and bosonization in two dimensions

Physical Review B - Condensed Matter and Materials Physics

Volumn 66, Issue 5, 2002, Pages 545261-5452627

  Paramekanti, Arun ^a   Balents, Leon ^a   Fisher, Matthew P A ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COPPER DERIVATIVE;

ARTICLE; BOSON; COMPRESSION; CONDUCTANCE; ELEMENTARY PARTICLE; ENERGY; HIGH TEMPERATURE; MATHEMATICAL MODEL; SIMULATION;

EID: 0141918972     PISSN: 01631829     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (52)

1. W.W Warren, Jr., R.E. Walstedt, G.F. Brennert, R.J. Cava, R. Tycko, R.F. Bell, and G. Dabbagh, Phys. Rev. Lett. 62, 1193 (1989).
2. A.V. Puchkov, P. Fournier, D.N. Basov, T. Timusk, A. Kapitulnik, and N.N. Kolesnikov, Phys. Rev. Lett. 77, 3212 (1996).
3. A.G. Loeser, Z.-X. Shen, D.S. Dessau, D.S. Marshall, C.H. Park, P. Fournier, and A. Kapitulnik, Science 273, 325 (1996).
4. V.J. Emery and S.A. Kivelson, Phys. Rev. Lett. 74, 3253 (1995), and references therein.
5. L. Balents, M.P.A. Fisher, and C. Nayak, Phys. Rev. B 60, 1654 (1999).
6. T. Senthil and M.P.A. Fisher, Phys. Rev. B 62, 7850 (2000).
7. N. Read and B. Chakraborty, Phys. Rev. B 40, 7133 (1989).
8. S. Kivelson, Phys. Rev. B 39, 259 (1989).
9. X.G. Wen, Phys. Rev. B 44, 2664 (1991).
10. T. Senthil and M.P.A. Fisher, Phys. Rev. Lett. 86, 292 (2001).
11. T. Senthil and M.P.A. Fisher, Phys. Rev. B 63, 134521 (2001).
12. J.C. Wynn, D.A. Bonn, B.W. Gardner, Y.J. Lin, R.X. Liang, W.N. Hardy, J.R. Kirtley, and K.A. Moler, Phys. Rev. Lett. 87, 197002 (2001).
13. J.R. Kirtley, C.C. Tsuei, H. Raffy, Z.Z. Li, V.G. Kogan, J.R. Clem, and K.A. Moler, cond-mat/0103474 (unpublished).
14. R. Coldea, S.M. Hayden, G. Aeppli, T.G. Perring, C.D. Frost, T.E. Mason, S.-W. Cheong, and Z. Fisk, cond-mat/0006384 (unpublished).
15. G. Misguich, B. Bernu, and C. Waldtmann, Phys. Rev. B 60, 1064 (1999); W. LiMing, P. Sindzingre, and G. Misguich, ibid. 62, 6372 (2000).
16. G. Misguich, B. Bernu, and C. Waldtmann, Phys. Rev. B 60, 1064 (1999); W. LiMing, P. Sindzingre, and G. Misguich, ibid. 62, 6372 (2000).
17. L. Balents, S.M. Girvin, and M.P.A. Fisher, cond-mat/0110005 (unpublished).
18. M.P.A. Fisher, P.B. Weichmn, G. Grinstein, and D.S. Fisher, Phys. Rev. B 40, 546 (1989).
19. S. Sachdev, Quantum Phase Transitions (Cambridge Univ. Press, Cambridge, UK, 2001), and references therein.
20. M. Greiner, O. Mandel, T. Esslinger, T. Hansch, and I. Bloch, Nature (London) 415, 39 (2002).
21. M.P.A. Fisher, Phys. Rev. Lett. 65, 923 (1990).
22. K. Park and S. Sachdev, cond-mat/0112003 (unpublished).
23. S. Tomonaga, Prog. Theor. Phys. (Kyoto) 5, 544 (1950); J.M. Luttinger, J. Math. Phys. 4, 1154 (1963).
24. S. Tomonaga, Prog. Theor. Phys. (Kyoto) 5, 544 (1950); J.M. Luttinger, J. Math. Phys. 4, 1154 (1963).
25. F.D.M. Haldane, J. Phys. C 14, 2585 (1981); Phys. Rev. Lett. 47, 1840 (1981).
26. F.D.M. Haldane, J. Phys. C 14, 2585 (1981); Phys. Rev. Lett. 47, 1840 (1981).
27. M. P. A. Fisher and L. I. Glazman, in Mesoscopic Electron Transport, NATO Advanced Study Institute, Series E: Applied Sciences, edited by L. Kowenhoven, G. Schoen, and L. Sohn (Kluwer, Dordrecht, 1997), and references therein.
28. D.J. Thouless, Proc. Phys. Soc. London 86, 893 (1965).
29. J.M. Delrieu and J.H. Hetherington, Rev. Mod. Phys. 55, 1 (1983).
30. The duality transformation on 2D bosons that we introduce and exploit in this paper is explicitly tailored for bosonic ring models, and is quite distinct from the standard boson-vortex duality in (2+1) dimensions, as discussed, for example, in M.P.A. Fisher and D.H. Lee, Phys. Rev. B 39, 2756 (1989).
31. A. Sandvik, S. Daul, R.R.P. Singh, and D.J. Scalapino, cond-mat/0205270 (unpublished). These authors also show that a sufficiently large nearest-neighbor exchange in the easy-axis S=1/2 model (single-boson hopping for hard-core bosons) leads to a transition from the CDW to a (columnar) stripe state in which the (π,0),(0,π) energy order is stabilized.
32. A.T. Dorsey, Phys. Rev. B 43, 7575 (1991).
33. D. Carpentier, C. Peca, and L. Balents, cond-mat/0103193 (unpublished).
34. R. Shankar, Rev. Mod. Phys. 66, 129 (1994).
35. L. Balents (unpublished).
36. A. Paramekanti (unpublished).
37. tt, which generates a Josephson coupling between these superfluids. This leads to a single (fully mixed) second sound mode at low energies.
38. L. Balents and M.P.A. Fisher (unpublished).
39. D.S. Rokhsar and S. Kivelson, Phys. Rev. Lett. 61, 2376 (1988).
40. P.W. Anderson, Science 235, 1196 (1987).
41. S. Kivelson, D.S. Rokhsar, and J. Sethna, Phys. Rev. B 35, 8865 (1987).
42. P.A. Lee and N. Nagaosa, Phys. Rev. B 45, 966 (1992).
43. T. Senthil and M.P.A. Fisher, in More is Different: Fifty years of Condensed Matter Physics, edited by N. Ong and R. Bhatt (Princeton University Press, 2001), p. 121.
44. G. Baskaran, Z. Zou, and P.W. Anderson, Solid State Commun. 63, 873 (1987).
45. G. Baskaran and P.W. Anderson, Phys. Rev. B 37, 580 (1988).
46. I. Affleck and J.B. Marston, Phys. Rev. B 37, 3774 (1988); L. Ioffe and A. Larkin, ibid. 39, 8988 (1989); P.A. Lee, N. Nagaosa, T-K. Ng, and X.G. Wen, ibid. 57, 6003 (1998).
47. I. Affleck and J.B. Marston, Phys. Rev. B 37, 3774 (1988); L. Ioffe and A. Larkin, ibid. 39, 8988 (1989); P.A. Lee, N. Nagaosa, T-K. Ng, and X.G. Wen, ibid. 57, 6003 (1998).
48. I. Affleck and J.B. Marston, Phys. Rev. B 37, 3774 (1988); L. Ioffe and A. Larkin, ibid. 39, 8988 (1989); P.A. Lee, N. Nagaosa, T-K. Ng, and X.G. Wen, ibid. 57, 6003 (1998).
49. See R.W. Hill, C. Proust, L. Taillefer, P. Fournier, and R.L. Greene, cond-mat/0112269 (unpublished), and references therein.
50. S. Chakravarty, S. Kivelson, C. Nayak, and K. Voelker, Philos. Mag. B 79, 859 (1999).
51. B. Bernu, L. Candido, and D.M. Ceperley, Phys. Rev. Lett. 86, 870 (2001).
52. M. Hermele (unpublished).