Low-energy theory for the bose-hubbard model and the normal ground state of bosons

Physical Review B - Condensed Matter and Materials Physics

Volumn 60, Issue 21, 1999, Pages 14503-14506

  Herbut, I ^a  

^a SIMON FRASER UNIVERSITY   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001176615     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.60.14503     Document Type: Article

References (24)

1. C. Bruder, R. Fazio, and G. Schön, Phys. Rev. B 47, 342 (1993);
2. Phys. Rev. BR. T. Scalettar, G. G. Batrouni, A. P. Kampf, and G. T. Zimányi, 51, 8467 (1995);
3. Phys. Rev. BA. van Otterlo, et al., 52, 16 176 (1995), and references therein.
4. D. Das and S. Doniach, Phys. Rev. B 60, 1261 (1999).
5. A. J. Leggett, Phys. Fenn. 8, 125 (1973).
6. B. G. Orr, et al., Phys. Rev. Lett. 56, 378 (1986);
7. Phys. Rev. Lett.D. B. Haviland, et al., 62, 2180 (1989).
8. A. van Oudenaarden and J. E. Mooij, Phys. Rev. Lett. 76, 4947 (1996);
9. A. van Oudenaarden, et al., Phys. Rev. B 57, 11 684 (1998).
10. D. Jaksch, et al., Phys. Rev. Lett. 81, 3108 (1998).
11. R. Baltin and K. H. Wagenblast, Europhys. Lett. 39, 7 (1997).
12. T. D. Kühner and H. Monien, Phys. Rev. B 58, R14 741 (1998).
13. C. N. Yang, Phys. Rev. Lett. 63, 2144 (1989);
14. C. N. Yang and S. C. Zhang, Mod. Phys. Lett. B 4, 759 (1990).
15. S. C. Zhang, Science 275, 1089 (1997).
16. An analogous expression to Eq. (9) for the (Formula presented) case has been obtained by F. J. Wegner, cond-mat/9904363 (unpublished) using different reasoning.
17. See for example, J. J. Binney, N. J. Dowrick, A. J. Fisher, and M. E. J. Newman, The Theory of Critical Phenomena; an Introduction to the Renormalization Group (Clarendon Press, Oxford, 1992), Chap. 13.2.
18. D. R. Nelson and R. A. Pelcovits, Phys. Rev. B 16, 2191 (1977).
19. D. H. Friedan, Ann. Phys. (N.Y.) 163, 318 (1985).
20. F. D. M. Haldane, Phys. Lett. 93A, 464 (1983);
21. I. Affleck, Nucl. Phys. B 257, 397 (1985).
22. Note, however, that the solid-to-normal transition found in Ref. 7 appears not to fall into the Ising universality class.
23. I. F. Herbut, Phys. Rev. B 58, 971 (1998);
24. I. F. HerbutPhys. Rev. Lett. 81, 3916 (1998).