Superfluids and supersolids on frustrated two-dimensional lattices

Physical Review B - Condensed Matter and Materials Physics

Volumn 55, Issue 5, 1997, Pages 3104-3121

  Murthy, Ganpathy ^a,d   Arovas, Daniel ^b   Auerbach, Assa ^c  

^a JOHNS HOPKINS UNIVERSITY   (United States)

^b UNIVERSITY OF CALIFORNIA   (United States)

^c TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

^d Boston University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001141296     PISSN: 01631829     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (56)

1. A. F. Andreev and I. M. Lifshitz, Sov. Phys. JETP 29, 1107 (1969).
2. M. W. Meisel, Physica B 178, 121 (1992).
3. G. A. Lengua and J. M. Goodkind, J. Low Temp. Phys. 79, 251 (1990).
4. G. V. Chester, Phys. Rev. A 2, 256 (1970).
5. A. J. Leggett, Phys. Rev. Lett. 25, 1543 (1970).
6. C. Brader, R. Fazio, and G. Schön, Phys. Rev. B 47, 342 (1993).
7. A. van Otterlo, K.-H. Wagenblast, R. Fazio, and G. Schön, Phys. Rev. B 48, 3316 (1993).
8. A. van Otterlo, K.-H. Wagenblast, R. Baltin, C. Bruder, R. Fazio, and G. Schön, Phys. Rev. B 52, 16 176 (1995).
9. E. Roddick and D. Stroud, Phys. Rev. B 48, 16600 (1993).
10. J. K. Freericks and H. Monien, Europhys. Lett. 26, 545 (1994).
11. P. Niyaz, R. T. Scalettar, C. Y. Fong, and G. G. Batrouni, Phys. Rev. B 44, 7143 (1991).
12. P. Niyaz, R. T. Scalettar, C. Y. Fong, and G. G. Batrouni, Phys. Rev. B 50, 362 (1994).
13. A. P. Kampf and G. T. Zimanyi, Phys. Rev. B 47, 279 (1993).
14. R. T. Scalettar, G. G. Batrouni, A. P. Kampf, and G. T. Zimanyi, Phys. Rev. B 51, 8467 (1995).
15. Y. Pomeau and S. Rica, Phys. Rev. Lett. 72, 2426 (1994).
16. The correspondence between the world lines of two-dimensional bosons and vortex lines in three-dimensional superconductors, derived in M. P. A. Fisher and D.-H. Lee, Phys. Rev. B 39, 2756 (1989), and D. R. Nelson and H. S. Seung, ibid. 39, 9153 (1989), provides another paradigm for supersolid behavior, in which defects in a flux-line lattice condense to form a supersolid state which might intervene between the vortex line crystal and entangled line liquid phases. See, e.g., E. Frey, D. R. Nelson, and D. S. Fisher, Phys. Rev. B 49, 9723 (1994).
17. The correspondence between the world lines of two-dimensional bosons and vortex lines in three-dimensional superconductors, derived in M. P. A. Fisher and D.-H. Lee, Phys. Rev. B 39, 2756 (1989), and D. R. Nelson and H. S. Seung, ibid. 39, 9153 (1989), provides another paradigm for supersolid behavior, in which defects in a flux-line lattice condense to form a supersolid state which might intervene between the vortex line crystal and entangled line liquid phases. See, e.g., E. Frey, D. R. Nelson, and D. S. Fisher, Phys. Rev. B 49, 9723 (1994).
18. The correspondence between the world lines of two-dimensional bosons and vortex lines in three-dimensional superconductors, derived in M. P. A. Fisher and D.-H. Lee, Phys. Rev. B 39, 2756 (1989), and D. R. Nelson and H. S. Seung, ibid. 39, 9153 (1989), provides another paradigm for supersolid behavior, in which defects in a flux-line lattice condense to form a supersolid state which might intervene between the vortex line crystal and entangled line liquid phases. See, e.g., E. Frey, D. R. Nelson, and D. S. Fisher, Phys. Rev. B 49, 9723 (1994).
19. S. Doniach, Phys. Rev. B 24, 5063 (1981).
20. H. Matsuda and T. Tsuneto, Prog. Theor. Phys. 46, 411 (1970).
21. K.-S. Liu and M. E. Fisher, J. Low Temp. Phys. 10, 655 (1973).
22. M. P. Fisher, P. B. Weichman, G. Grinstein, and D. S. Fisher, Phys. Rev. B 40, 546 (1989).
23. M. Wallin, E. S. Sorensen, S. M. Girvin, and A. P. Young, Phys. Rev. B 49, 12 115 (1994).
24. See, for example, A. Auerbach, Correlated Electrons and Quantum Magnetism (Springer-Verlag, New York, 1994), and references therein.
25. P. W. Anderson, Mater. Res. Bull. 8, 153 (1973).
26. P. Fazekas and P. W. Anderson, Philos. Mag. 30, 423 (1974).
27. E. F. Shender, Sov. Phys. JETP 56, 178 (1982).
28. C. L. Henley, Phys. Rev. Lett. 62, 2506 (1989).
29. B. Kleine, E. Müllier-Hartmann, K. Frahm, and P. Fazekas, Z. Phys. B 87, 103 (1992).
30. A. V. Chubukov and D. I. Golosov, J. Phys. Condens. Matter 3, 69 (1991).
31. Q. Sheng and C. L. Henley, J. Phys. Condens. Matter 4, 2937 (1992).
32. S. Miyashita and H. Kawamura, J. Phys. Soc. Jpn. 54, 3385 (1985).
33. V. Elser, Phys. Rev. Lett. 62, 2405 (1989).
34. C. Zeng and V. Elser, Phys. Rev. B 42, 8436 (1990).
35. C. Zeng and V. Elser, Phys. Rev. B 51, 8318 (1995).
36. J. B. Marston and C. Zeng, J. Appl. Phys. 69, 5962 (1991).
37. A. B. Harris, C. Kallin, and A. J. Berlinsky, Phys. Rev. B 45, 2899 (1992).
38. S. Sachdev, Phys. Rev. B 45, 12 377 (1992).
39. P. Chandra and P. Coleman, Phys. Rev. Lett. 66, 100 (1991).
40. P. Chandra, P. Coleman, and I. Ritchey, Int. J. Mod. Phys. B 5, 17 (1991).
41. We are indebted to Steve Kivelson for making us aware of the calculation of the gap of the degeneracy mode in Ref. 25.
42. We are indebted to Chris Henley for making us aware of weaknesses in our original argument.
43. J. van Delft and C. L. Henley, Phys. Rev. B 48, 965 (1993).
44. I. Ritchey, P. Chandra, and P. Coleman, Phys. Rev. B 47, 15 342 (1993).
45. A. V. Chubukov, Phys. Rev. Lett. 69, 832 (1992).
46. H. Asakawa and M. Suzuki, Int. J. Mod. Phys. B 9, 933 (1995).
47. B. Kleine, P. Fazekas, and E. Müller-Hartmann, Z. Phys. B 86, 405 (1992).
48. H. W. J. Blöte and H. J. Hillhorst, J. Phys. A 15, L631 (1982).
49. L. J. Geerligs, M. Peters, L. E. M. de Groot, A. Verbruggen, and J. E. Mooij, Phys. Rev. Lett. 63, 326 (1989).
50. M. Bretz, J. G. Dash, D. C. Hickernell, E. O. McLean, and O. E. Vilches, Phys. Rev. B 8, 1589 (1973).
51. P. A. Crowell and J. D. Reppy, Phys. Rev. Lett. 70, 3291 (1993).
52. G. T. Zimanyi, P. A. Crowell, R. T. Scalettar, and G. G. Batrouni, Phys. Rev. B 50, 6515 (1994).
53. D. P. Arovas and A. Auerbach, Phys. Rev. Lett. 61, 617 (1988); Phys. Rev. B 38, 316 (1988).
54. D. P. Arovas and A. Auerbach, Phys. Rev. Lett. 61, 617 (1988); Phys. Rev. B 38, 316 (1988).
55. D. S. Rokhsar and B. G. Kotliar, Phys. Rev. B 44, 10 328 (1991).
56. W. Krauth, M. Caffarel, and J.-P. Bouchard, Phys. Rev. B 45, 3137 (1992).