Stability of a fully magnetized ferromagnetic state in repulsively interacting ultracold Fermi gases

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 81, Issue 4, 2010, Pages

  Cui, Xiaoling ^a   Zhai, Hui ^b  

^a INSTITUTE OF GEOLOGY AND GEOPHYSICS   (China)

^b TSINGHUA UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

BOUND STATE; CONTINUUM MODEL; FERMI GAS; FERMI SEA; FERROMAGNETIC STATE; HUBBARD; LATTICE MODELS; REPULSIVE INTERACTIONS; RESONANCE MODEL; S-WAVE SCATTERING LENGTHS; SHORT-RANGE CORRELATIONS; SINGLE SPIN; ULTRA-COLD; ULTRACOLD ATOMS;

CONTINUUM MECHANICS; ELECTRON GAS; FERMIONS; FERROMAGNETIC MATERIALS; FERROMAGNETISM;

WAVE FUNCTIONS;

EID: 77950958328     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.81.041602     Document Type: Article

References (33)

1. E. Stoner, Philos. Mag. 15, 1018 (1933).
2. M. C. Gutzwiller, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett. 10.159 10, 159 (1963);
3. M. C. Gutzwiller, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.137.A1726 137, A1726 (1965).
4. Y. Nagaoka, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.147.392 147, 392 (1966).
5. A. Mielke, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/24/2/005 24, L73 (1991);
6. A. Mielke, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/24/14/018 24, 3311 (1991);
7. A. Mielke, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/25/16/011 25, 4335 (1992);
8. H. Tasaki, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.69.1608 69, 1608 (1992);
9. H. Tasaki, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.75.4678 75, 4678 (1995);
10. A. Tanaka and H. Tasaki, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.116402 98, 116402 (2007).
11. G. B. Jo, Science SCIEAS 0036-8075 10.1126/science.1177112 325, 1521 (2009).
12. M. Houbiers, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.56.4864 56, 4864 (1997);
13. T. Sogo and H. Yabu, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.66. 043611 66, 043611 (2002);
14. L. J. LeBlanc, J. H. Thywissen, A. A. Burkov, and A. Paramekanti, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.80.013607 80, 013607 (2009);
15. G. J. Conduit and B. D. Simons, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.103.200403 103, 200403 (2009).
16. R. A. Duine and A. H. MacDonald, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.230403 95, 230403 (2005).
17. H. Zhai, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.80.051605 80, 051605 (R) (2009).
18. B. S. Shastry, H. R. Krishnamurthy, and P. W. Anderson, Phys. Rev. B PLRAAN 1098-0121 10.1103/PhysRevB.41.2375 41, 2375 (1990).
19. A. G. Basile and V. Elser, Phys. Rev. B PLRAAN 1098-0121 10.1103/PhysRevB.41.4842 41, 4842 (1990).
20. L. M. Roth, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.186.428 186, 428 (1969).
21. F. Chevy, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.74.063628 74, 063628 (2006);
22. A. Bulgac and M. McNeil Forbes, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.75.031605 75, 031605 (R) (2007);
23. R. Combescot and S. Giraud, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.101.050404 101, 050404 (2008).
24. C. Lobo, A. Recati, S. Giorgini, and S. Stringari, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.200403 97, 200403 (2006);
25. R. Combescot, A. Recati, C. Lobo, and F. Chevy, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.180402 98, 180402 (2007).
26. N. Prokof'ev and B. Svistunov, Phys. Rev. B PRLTAO 1098-0121 10.1103/PhysRevB.77.125101 77, 125101 (2008).
27. A. Schirotzek, C. H. Wu, A. Sommer, and M. W. Zwierlein, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.102.230402 102, 230402 (2009);
28. S. Nascimbéne, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.103.170402 103, 170402 (2009).
29. / 3 from that previously defined for each component in a nonmagnetic state [5-7]. Hence the prediction for fully polarized state k F a s = 1. 112 [7] is translated to 1. 40 to compare with our result (2.35). Our result should be translated to 1.87 to compare with the MIT experiment [5].
30. K. Huang and C. N. Yang, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.105. 767 105, 767 (1957);
31. T. D. Lee and C. N. Yang, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.105.1119 105, 1119 (1957)
32. A. A. Abrikosov, L. P. Gorkov, and I. E. Dzyaloshinski, Methods of Quantum Field Theory in Statistical Physics (Prentice-Hall, Englewood Cliffs, NJ, 1963).
33. It is related to contact density introduced by S. Tan, Ann. Phys. (NY) APNYA6 0003-4916 10.1016/j.aop.2008.03.004 323, 2952 (2008).