Triviality of the BCS-BEC crossover in extended dimensions: Implications for the ground state energy

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 74, Issue 5, 2006, Pages

  Nussinov, Zohar ^a   Nussinov, Shmuel ^b  

^a WASHINGTON UNIVERSITY   (United States)

^b TEL AVIV UNIVERSITY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

GROUND STATE; NEUTRON SCATTERING;

FERMION SYSTEMS; SHORT RANGE INTERACTIONS;

HIGH ENERGY PHYSICS;

EID: 33751508181     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.74.053622     Document Type: Article

References (36)

1. M. H. Andersen, J. R. Ensher, M. R. Matthews, C. E. Wieman, and E. A. Cornell, Science SCIEAS 0036-8075 10.1126/science.269.5221.198 269, 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. C. C. Bradley, C. A. Sackett, J. J. Tollett, and R. G. Hulet, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.75.1687 75, 1687 (1995);
4. C. C. Bradley, C. A. Sackett, and R. G. Hulet, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.78.985 78, 985 (1997).
5. C. A. Regal, M. Greiner, and D. S. Jin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.040403 92, 040403 (2004);
6. M. Zwierlein, C. A. Stan, C. H. Schunck, S. M. F. Raupach, A. J. Kerman, and W. Ketterle, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.120403 92, 120403 (2004).
7. T. L. Ho and R. B. Diener, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.090402 94, 090402 (2005).
8. K. G. Wilson, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.28. 548 28, 548 (1972);
9. K. G. Wilson and M. E. Fisher, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.28.240 28, 240 (1972);
10. K. G. Wilson and J. Kogut, Phys. Lett., C PRPLCM 0370-1573 12, 75 (1974);
11. J. Zinn-Justin, Quantum Field Theory and Critical Phenomena (Oxford University Press, New York, 1989).
12. G. F. Bertsch, http//:www.phys.washington.edu/~mbx/george.html (1998).
13. J. Carlson, S.-Y. Chang, V. R. Pandharipande, and K. E. Schmidt, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.050401 91, 050401 (2003).
14. G. A. Baker, Jr., Phys. Rev. C PRVCAN 0556-2813 10.1103/PhysRevC.60. 054311 60, 054311 (1999).
15. A. J. Legget, in Modern Trends in the Theory of Condensed Matter, edited by, A. Pekalski, and, R. Przystawa, (Springer-Verlag, Berlin, 1980);
16. J. R. Engelbrecht, M. Randeria, and C. A. R. Sa de Melo, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.55.15153 55, 15153 (1997).
17. L. D. Landau and E. M. Lifshitz, Quantum Mechanics, 3rd ed. (Pergamon, New York, 1977).
18. Notable detailed studies in D=2 which extend on our general consequences for pairing for D≤2 are those of Randeria, Duan, and Shieh, (Ref.) and S. Schmitt-Rink, C. M. Varma, and A. E. Ruckenstein, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.63.445 63, 445 (1989).
19. E. H. Lieb and M. de Liano, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.523748 19, 860 (1978);
20. M. Randeria, J.-M. Duan, and L.-Y. Shieh, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.62.981 62, 981 (1989).
21. W. Metzner and D. Vollhardt, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.62.324 62, 324 (1989).
22. J. W. Steel, e-print nucl-th/0010066.
23. T. Schaefer, C.-W. Kao, and S. R. Cotanch, Nucl. Phys. A NUPABL 0375-9474 10.1016/j.nuclphysa.2005.08.006 762, 82 (2005).
24. E. Abrahams, P. W. Anderson, D. C. Licciardello, and T. V. Ramakrishnan, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.42.673 42, 673 (1979).
25. This feature motivated the extension to unequal numbers of spin-up and spin-down atoms leading to a new exact and interesting result for the asymmetry energy; see T. D. Cohen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett. 95.120403 95, 120403 (2005);
26. J. F. Kenney, Phys. Chem. Chem. Phys. PPCPFQ 1463-9076 10.1039/a901700c 1, 3277 (1999).
27. Z. Nussinov and S. Nussinov, e-print cond-mat/0410597.
28. Y. Nishida and D. T. Son, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.050403 97, 050403 (2006);
29. Y. Nishida and D. Thanh Son, e-print cond-mat/0607835;
30. Y. Nishida, e-print cond-mat/0608321.
31. P. Arnold, J. E. Drut, and D. Thanh Son, e-print cond-mat/0608477;
32. P. Nikolic and S. Sachdev, e-print cond-mat/0609106;
33. G. Rupak, T. Schafer, and A. Kryjevski, e-print cond-mat/0607834;
34. T. Schaefer, e-print nucl-th/0606019;
35. T. Schaeffer, C.-W. Kao, and S. R. Cotanch, Nucl. Phys. A NUPABL 0375-9474 10.1016/j.nuclphysa.2005.08.006 762, 82 (2005);
36. R. Gautam, e-print nucl-th/0605074.