Pairing and Vortex Lattices for Interacting Fermions in Optical Lattices with a Large Magnetic Field

Journal Article · Fri Apr 09 00:00:00 EDT 2010 · Physical Review Letters

DOI:https://doi.org/10.1103/PHYSREVLETT.104.145301· OSTI ID:21410632

Hui, Zhai ^[1]; Umucalilar, R O; Oktel, M Oe ^[2]

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1. Institute for Advanced Study, Tsinghua University, Beijing, 100084 (China)
2. Department of Physics, Bilkent University, 06800, Ankara (Turkey)

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.

• OSTI ID: 21410632
• Journal Information: Physical Review Letters, Vol. 104, Issue 14; Other Information: DOI: 10.1103/PhysRevLett.104.145301; (c) 2010 The American Physical Society; ISSN 0031-9007
• Country of Publication: United States
• Language: English

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
FERMIONS
FLUX DENSITY
INTERACTIONS
MAGNETIC FIELDS
MEAN-FIELD THEORY
ORDER PARAMETERS
PARTICLES
PHASE TRANSFORMATIONS
SPECTRA
SPIN
SUPERFLUIDITY
SYMMETRY
TETRAGONAL LATTICES
VORTICES
WAVE FUNCTIONS
ANGULAR MOMENTUM
CRYSTAL LATTICES
CRYSTAL STRUCTURE
DIMENSIONLESS NUMBERS
FUNCTIONS
PARTICLE PROPERTIES