| ATOMIC AND MOLECULAR PHYSICS |
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Antiferromagnetism of Repulsively Interacting Fermions in a Harmonic Trap |
| QI Jian-Qing, WANG Lei, DAI Xi |
| Beijing National Laboratory for Condensed Matter Physics, and Institute of Physics, Chinese Academy of Sciences, Beijing 100190 |
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| Cite this article: |
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QI Jian-Qing, WANG Lei, DAI Xi 2010 Chin. Phys. Lett. 27 083102 |
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Abstract We propose a real-space Gutzwiller variational approach and apply it to a system of repulsively interacting ultracold fermions with spin-1/2 trapped in an optical lattice with a harmonic confinement. Using the real-space Gutzwiller variational approach, we find that in a system with balanced spin-mixtures on a square lattice, antiferromagnetism either appears in a checkerboard pattern or forms a ring, and the antiferromagnetic order is stable in the regions where the particle density is close to one, which is consistent with the recent results obtained by the real-space dynamical mean-field theory approach. We also investigate the imbalanced case and find that the antiferromagnetic order is suppressed there.
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| Keywords:
31.15.xt
37.10.Jk
71.10.Fd
75.50.Ee
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Received: 24 March 2010
Published: 28 July 2010
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| PACS: |
31.15.xt
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(Variational techniques)
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37.10.Jk
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(Atoms in optical lattices)
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71.10.Fd
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(Lattice fermion models (Hubbard model, etc.))
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75.50.Ee
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(Antiferromagnetics)
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[1] For a review, see Nature 2002 416 205
[2] Anderson M H et al 1995 Science 269 198
[3] Bloch I 2005 Nature Phys. 1 23
[4] Gutzwiller M C 1963 Phys. Rev. Lett. 10 159
Gutzwiller M C 1964 Phys. Rev. A 134 923
Gutzwiller M C 1965 Phys. Rev. A 137 1726
[5] Gottwald T et al 2009 Phys. Rev. A 80 033603
[6] Andersen B M et al 2007 Phys. Rev. A 76 041602(R)
[7] Wunsch B et al 2010 Phys. Rev. A 81 013616
[8] Snoek M et al 2008 New J. Phys. 10 093008
[9] Brinkman W F and Rice T M 1970 Phys. Rev. B 2 4302
[10] Zhang F C et al 1988 Supercond. Sci. Technol. 1 36
[11] Vollhardt D 1984 Rev. Mod. Phys. 56 99
[12] Wang Q H et al 2006 Phys. Rev. B 73 092507
[13] Han J H et al 2001 Int. J. Mod. Phys. B 15 1117
[14] Deng X Y et al 2009 Phys. Rev. B 79 075114
[15] Ogama T, Kanda K and Matsubara T 1975 Prog. Theor. Phys. 53 614
[16] Metzner W and Vollhardt D 1987 Phys. Rev. Lett. 59 121
Gebhard F and Vollhardt D 1987 Phys. Rev. Lett. 59 1472
Gebhard F and Vollhardt D 1988 Phys. Rev. B 38 6911
[17] Metzner W and Vollhardt D 1989 Phys. Rev. Lett. 62 324
Metzner W 1989 Z. Phys. B: Condens. Matter 77 253
[18] Stenger J et al 1999 Phys. Rev. Lett. 82 2422
[19] Fölling S et al 2006 Phys. Rev. Lett. 97 060403
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