Pairing and vortex lattices for interacting fermions in optical lattices with a large magnetic field
Date
2010
Authors
Zhai, H.
Umucalılar, R. O.
Oktel, M. Ö.
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Source Title
Physical Review Letters
Print ISSN
0031-9007
Electronic ISSN
Publisher
The American Physical Society
Volume
104
Issue
14
Pages
145301-1 - 145301-4
Language
English
Type
Journal Title
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Abstract
We study the structure of a pairing order parameter for spin-1/2 fermions with attractive interactions in a square lattice under a uniform magnetic field. Because the magnetic translation symmetry gives a unique degeneracy in the single-particle spectrum, the pair wave function has both zero and finite-momentum components coexisting, and their relative phases are determined by a self-consistent mean-field theory. We present a microscopic calculation that can determine the vortex lattice structure in the superfluid phase for different flux densities. Phase transition from a Hofstadter insulator to a superfluid phase is also discussed.
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Keywords
Flux densities , Hofstadter , Interacting fermions , Magnetic translation , Optical lattices , Order parameter , Relative phasis , Self-consistent mean-field theories , Single particle spectrum , Spin-1/2 fermions , Square lattices , Superfluid phase , Vortex lattice structure , Vortex lattices , Crystal lattices , Fermions , Magnetic fields , Mean field theory , Neodymium compounds , Wave functions , Phase transitions