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

Hui, Zhai; Umucalilar, R O; Oktel, M Oe

doi:10.1103/PHYSREVLETT.104.145301

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

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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.

Authors:

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

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

Publication Date:: Fri Apr 09 00:00:00 EDT 2010

OSTI Identifier:: 21410632

Resource Type:: Journal Article

Journal Name:: Physical Review Letters

Additional Journal Information:: Journal Volume: 104; Journal Issue: 14; Other Information: DOI: 10.1103/PhysRevLett.104.145301; (c) 2010 The American Physical Society; Journal ID: ISSN 0031-9007

Country of Publication:: United States

Language:: English

Subject:: 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

Citation Formats


                    Hui, Zhai, Umucalilar, R O, and Oktel, M Oe. Pairing and Vortex Lattices for Interacting Fermions in Optical Lattices with a Large Magnetic Field.  United States: N. p., 2010. 
        Web.  doi:10.1103/PHYSREVLETT.104.145301.

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                    Hui, Zhai, Umucalilar, R O, & Oktel, M Oe. Pairing and Vortex Lattices for Interacting Fermions in Optical Lattices with a Large Magnetic Field.  United States.  https://doi.org/10.1103/PHYSREVLETT.104.145301

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                    Hui, Zhai, Umucalilar, R O, and Oktel, M Oe. 2010.  
        "Pairing and Vortex Lattices for Interacting Fermions in Optical Lattices with a Large Magnetic Field".  United States.  https://doi.org/10.1103/PHYSREVLETT.104.145301.

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@article{osti_21410632,

  title        = {Pairing and Vortex Lattices for Interacting Fermions in Optical Lattices with a Large Magnetic Field},

  author       = {Hui, Zhai and Umucalilar, R O and Oktel, M Oe},

  abstractNote = {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.},

  doi          = {10.1103/PHYSREVLETT.104.145301},

  url          = {https://www.osti.gov/biblio/21410632},
  journal      = {Physical Review Letters},

  issn         = {0031-9007},

  number       = 14,

  volume       = 104,

  place        = {United States},

  year         = {Fri Apr 09 00:00:00 EDT 2010},

  month        = {Fri Apr 09 00:00:00 EDT 2010}

}

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