Thermally induced rotons in two-dimensional dilute Bose gases

Physical Review B - Condensed Matter and Materials Physics

Volumn 73, Issue 10, 2006, Pages

  Nogueira, Flavio S ^a   Kleinert, Hagen ^a  

^a FREIE UNIVERSITÄT BERLIN   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33645386787     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.73.104515     Document Type: Article

References (53)

1. M. H. Anderson, J. R Ensher, M. R. Mathews, C. E. Wieman, and E. A. Cornell, Science SCIEAS 0036-8075 269, 198 (1995);
2. K. B. Davis, M.-O. Mewes, M. R. Andrews, N. J. van Druten, D. S. Durfee, D. M. Kurn, and W. Ketterle, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.75.3969 75, 3969 (1995).
3. For a review see L. P. Pitaevskii and S. Stringari, Bose-Einstein Condensation (Oxford University Press, Oxford, 2003).
4. R. P. Feynman, Progress in Low Temperature Physics (North-Holland, Amsterdam, 1957), Vol. I, Chap..
5. H. Kleinert, Gauge Fields in Condensed Matter (World Scientific, Singapore, 1989), Vol. 1.
6. R. E. Peierls, Ann. Inst. Henri Poincare AIHPA2 0365-320X 5, 177 (1935);
7. N. D. Mermin and H. Wagner, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.17.1133 22, 1133 (1966);
8. P. C. Hohenberg, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.158.383 158, 383 (1967);
9. N. D. Mermin, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.176.250 176, 250 (1968).
10. J. M. Kosterlitz and D. J. Thouless, J. Phys. C JPSOAW 0022-3719 6, 1181 (1973);
11. J. M. Kosterlitz, J. Phys. C JPSOAW 0022-3719 10.1088/0022-3719/7/6/005 7, 1046 (1974).
12. D. R. Nelson and J. M. Kosterlitz, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.39.1201 39, 1201 (1977).
13. Yu. A. Tserkovnikov, Dokl. Akad. Nauk SSSR DANKAS 0002-3264 159, 1023 (1964)
14. Yu. A. Tserkovnikov, [Sov. Phys. Dokl. SPHDA9 0038-5689 9, 1095 (1965)];
15. I. Kondor and P. Szépfalusy, Phys. Lett. PYLAAG 0375-9601 10.1016/0375-9601(70)90156-8 33, 311 (1970);
16. T. H. Cheung and A. Griffin, Can. J. Phys. CJPHAD 0008-4204 48, 2135 (1970);
17. T. H. Cheung and A. Griffin, Phys. Lett. PYLAAG 0375-9601 35, 141 (1971).
18. P. Szépfalusy and I. Kondor, Ann. Phys. (N.Y.) APNYA6 0003-4916 10.1016/0003-4916(74)90330-3 82, 1 (1974).
19. D. I. Uzunov, Phys. Lett. PYLAAG 0375-9601 10.1016/0375-9601(81)90602-2 87, 11 (1981).
20. H. T. C. Stoof, L. P. H. de Goey, W. M. H. M. Rovers, P. S. M. Kop Jansen, and B. J. Verhaar, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.38. 1248 38, 1248 (1988).
21. M. D. Lee, S. A. Morgan, M. J. Davis, and A. K. Burnett, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.65.043617 65, 043617 (2002), and references therein.
22. V. N. Popov, Theor. Math. Phys. TMPHAH 0040-5779 10.1007/BF01028373 11, 565 (1972);
23. Functional Integrals in Quantum Field Theory and Statistical Physics (Reidel, Dordrecht, 1983).
24. M. Schick, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.3.1067 3, 1067 (1971).
25. J. O. Andersen, U. Al Khawaja, and H. T. C. Stoof, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.88.070407 88, 070407 (2002).
26. H. T. C. Stoof and M. Bijlsma, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.47.939 47, 939 (1993);
27. U. Al Khawaja, J. O. Andersen, N. P. Proukakis, and H. T. C. Stoof, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.66.013615 66, 013615 (2002).
28. D. S. Fisher and P. C. Hohenberg, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.37.4936 37, 4936 (1988).
29. H. Kleinert, Fortschr. Phys. FPYKA6 0015-8208 26, 565 (1978).
30. J. Gavoret and P. Nozières, Ann. Phys. (N.Y.) APNYA6 0003-4916 10.1016/0003-4916(64)90200-3 28, 349 (1964).
31. P. C. Hohenberg and P. C. Martin, Ann. Phys. (N.Y.) APNYA6 0003-4916 10.1016/0003-4916(65)90280-0 34, 291 (1965).
32. J. V. José, L. P. Kadanoff, S. Kirkpatrick, and D. R. Nelson, Phys. Rev. B PLRBAQ 0556-2805 10.1103/PhysRevB.16.1217 16, 1217 (1977).
33. H. Kleinert, F. S. Nogueira, and A. Sudbø, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.88.232001 88, 232001 (2002);
34. H. Kleinert, F. S. Nogueira, and A. Sudbø, Nucl. Phys. B NUPBBO 0550-3213 10.1016/S0550-3213(03)00453-X 666, 361 (2003).
35. I. F. Herbut and B. H. Seradjeh, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.171601 91, 171601 (2003).
36. A. Damascelli, Z. Hussain, and Z.-X. Shen, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.75.473 75, 473 (2003), and references therein.
37. V. J. Emery and S. A. Kivelson, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.74.3253 74, 3253 (1995);
38. V. J. Emery and S. A. Kivelson, Nature (London) NATUAS 0028-0836 10.1038/374434a0 374, 434 (1995);
39. M. Franz and A. J. Millis, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.58.14572 58, 14572 (1998);
40. E. Babaev and H. Kleinert, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.59.12083 59, 12083 (1999);
41. H. Kleinert, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.84.286 84, 286 (2000);
42. M. Franz and Z. Tesanovic, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.87.257003 87, 257003 (2001), and many other references contained in these papers.
43. For a closely related scenario involving a relativistic field theory, the so-called Gross-Neveu model, see H. Kleinert and E. Babaev, Phys. Lett. B PYLBAJ 0370-2693 10.1016/S0370-2693(98)00983-6 438, 311 (1998).
44. G. Agnolet, D. F. McQueeney, and J. D. Reppy, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.39.8934 39, 8934 (1989).
45. O. Hipólito and R. Lobo, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.14.3892 14, 3892 (1976);
46. A. Isihara and C.-I. Um, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.19.5725 19, 5725 (1979);
47. C.-I. Um, S.-T. Nam, S.-Y. Lee, and T. F. George, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.46.6346 46, 6346 (1992).
48. H. Kleinert, Phys. Rev. D PRVDAQ 0556-2821 10.1103/PhysRevD.57.2264 57, 2264 (1998);
49. H. Kleinert, Phys. Rev. D PRVDAQ 0556-2821 10.1103/PhysRevD.58.107702 58, 107702 (E) (1998);
50. H. Kleinert, Phys. Rev. D PRVDAQ 0556-2821 10.1103/PhysRevD.60.085001 60, 085001 (1999);
51. H. Kleinert, Phys. Lett. B PYLBAJ 0370-2693 10.1016/S0370-2693(98)00750-3 434, 74 (1998).
52. H. Kleinert and V. Schulte-Frohlinde, Critical properties of φ4 -theory (World Scientific, Singapore, 2001).
53. J. A. Lipa, J. A. Nissen, D. A. Stricker, D. R. Swanson, and T. C. P. Chui, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.68.174518 68, 174518 (2003) found in a satelite experiment precisely the predicted value of the critical exponent α=2-3ν=-0.0127.