• About
  • Policies
  • What is open access
  • Library
  • Contact
Advanced search
      View Item 
      •   BUIR Home
      • Scholarly Publications
      • Faculty of Science
      • Department of Physics
      • View Item
      •   BUIR Home
      • Scholarly Publications
      • Faculty of Science
      • Department of Physics
      • View Item
      JavaScript is disabled for your browser. Some features of this site may not work without it.

      Effect of disorder on the interacting fermi gases in a one-dimensional optical lattice

      Thumbnail
      View / Download
      288.2 Kb
      Author(s)
      Xianlong, G.
      Polini, M.
      Tosi, M. P.
      Tanatar, Bilal
      Date
      2008
      Source Title
      Condensed Matter Theories
      Print ISSN
      0217-9792
      Electronic ISSN
      1793-6578
      Publisher
      World Scientific Publishing Co.
      Volume
      23
      Pages
      212 - 222
      Language
      English
      Type
      Article
      Item Usage Stats
      288
      views
      218
      downloads
      Abstract
      Interacting two-component Fermi gases loaded in a one-dimensional (1D) lattice and subjected to a harmonic trapping potential exhibit interesting compound phases in which fluid regions coexist with local Mott-insulator and/or band-insulator regions. Motivated by experiments on cold atoms inside disordered optical lattices, we present a theoretical study of the effects of a correlated random potential on these ground-state phases. We employ a lattice version of density-functional theory within the local-density approximation to determine the density distribution of fermions in these phases. The exchange-correlation potential is obtained from the Lieb-Wu exact solution of Fermi-Hubbard model. On-site disorder (with and without Gaussian correlations) and harmonic trap are treated as external potentials. We find that disorder has two main effects: (i) it destroys the local insulating regions if it is suffciently strong compared with the on-site atom-atom repulsion, and (ii) it induces an anomaly in the inverse compressibility at low density from quenching of percolation. For suffciently large disorder correlation length the enhancement in the inverse compressibility diminishes.
      Keywords
      Disorder
      Fermi-Hubbard model
      Optical lattices
      Atoms
      Compressibility
      Crystal lattices
      Density functional theory
      Electron gas
      Fermions
      Ground state
      Hubbard model
      Lattice theory
      Local density approximation
      Optical materials
      Solvents
      Correlation lengths
      Density distributions
      Disorder
      Exchange-correlation potential
      Gaussian correlation
      Harmonic trapping potential
      Inverse compressibility
      One dimensional optical lattice
      Optical lattices
      Permalink
      http://hdl.handle.net/11693/37830
      Published Version (Please cite this version)
      http://dx.doi.org/10.1142/9789812836625_0022
      Collections
      • Department of Physics 2485
      Show full item record

      Related items

      Showing items related by title, author, creator and subject.

      • Thumbnail

        Hofstadter butterfly evolution in the space of two-dimensional bravais lattices 

        Yllmaz, F.; Oktel, M. Ö. (American Physical Society, 2017)
        The self-similar energy spectrum of a particle in a periodic potential under a magnetic field, known as the Hofstadter butterfly, is determined by the lattice geometry as well as the external field. Recent realizations of ...
      • Thumbnail

        Pairing and vortex lattices for interacting fermions in optical lattices with a large magnetic field 

        Zhai, H.; Umucalılar, R. O.; Oktel, M. Ö. (The American Physical Society, 2010)
        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 ...
      • Thumbnail

        Quantum entanglement of spin-1 bosons with coupled ground states in optical lattices 

        Öztop, B.; Oktel, M. Ö.; Müstecapliolu, Ö. E.; You, L. (IOP Institute of Physics Publishing, 2009)
        We examine particle entanglement, characterized by pseudo-spin squeezing, of spin-1 bosonic atoms with coupled ground states in a one-dimensional optical lattice. Both the superfluid and Mott-insulator phases are investigated ...

      Browse

      All of BUIRCommunities & CollectionsTitlesAuthorsAdvisorsBy Issue DateKeywordsTypeDepartmentsCoursesThis CollectionTitlesAuthorsAdvisorsBy Issue DateKeywordsTypeDepartmentsCourses

      My Account

      Login

      Statistics

      View Usage StatisticsView Google Analytics Statistics

      Bilkent University

      If you have trouble accessing this page and need to request an alternate format, contact the site administrator. Phone: (312) 290 2976
      © Bilkent University - Library IT

      Contact Us | Send Feedback | Off-Campus Access | Admin | Privacy