Pairing and vortex lattices for interacting fermions in optical lattices with a large magnetic field
Author
Zhai, H.
Umucalılar, R. O.
Oktel, M. Ö.
Date
2010Source Title
Physical Review Letters
Print ISSN
0031-9007
Publisher
The American Physical Society
Volume
104
Issue
14
Pages
145301-1 - 145301-4
Language
English
Type
ArticleItem Usage Stats
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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.
Keywords
Flux densitiesHofstadter
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
Permalink
http://hdl.handle.net/11693/22357Published Version (Please cite this version)
http://dx.doi.org/10.1103/PhysRevLett.104.145301Collections
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