Interacting Fermi Gases in Disordered One-Dimensional Lattices

Abstract

Interacting two-component Fermi gases loaded in a one-dimensional (1D) lattice and subject to harmonic trapping exhibit intriguing 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 random potential on these ground-state phases. Within a density-functional scheme we show that disorder has two main effects: (i) it destroys the local insulating regions if it is sufficiently strong compared with the on-site atom-atom repulsion, and (ii) it induces an anomaly in the compressibility at low density from quenching of percolation.

7 pages, 4 figures, submitted

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Cited by in corpus (10)

• The Hubbard Dimer: A density functional case study of a many-body problem
• Luther-Emery Phase and Atomic-Density Waves in a Trapped Fermion Gas
• Lattice density functional theory at finite temperature with strongly density-dependent exchange-correlation potentials
• Collective excitations in one-dimensional ultracold Fermi gases: a comparative study
• Effects of disorder on atomic density waves and spin-singlet dimers in one-dimensional optical lattices
• Phases of Bosons or Fermions in confined optical lattices
• Exchange-correlation potentials for multi-orbital quantum dots subject to generic density-density interactions and Hund's rule coupling
• Hole Localization in One-Dimensional Doped Anderson-Hubbard Model
• Magnetism Localization in Spin-Polarized One-Dimensional Anderson-Hubbard Model
• Interacting heavy fermions in a disordered optical lattice