# Interacting Fermi gases in disordered one-dimensional lattices

@article{Xianlong2006InteractingFG, title={Interacting Fermi gases in disordered one-dimensional lattices}, author={Gao Xianlong and Marco Polini and Bilal Tanatar and Mario P. Tosi}, journal={Physical Review B}, year={2006}, volume={73}, pages={161103} }

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… Expand

#### 11 Citations

Effect of Disorder on the Interacting Fermi Gases in a One-Dimensional Optical Lattice

- Physics
- 2008

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… Expand

Ground-state phases of interacting Fermi gases in disordered one-dimensional lattices

- Physics
- 2012

We numerically investigate a one-dimensional Anderson–Hubbard model under harmonic confinement. The effects of disorder on the ground-state properties are studied for Gaussian-correlated disorder and… Expand

Phase behaviors of strongly correlated Fermi gases in one-dimensional confinements

- Physics
- 2007

We report on the ground state of models for strongly correlated one-dimensional Fermi systems by means of theoretical studies of two-component atomic Fermi gases in highly anisotropic harmonic traps.… Expand

Interacting heavy fermions in a disordered optical lattice

- Physics
- 2014

We have theoretically studied the effect of disorder on ultracold alkaline-earth atoms governed by the Kondo lattice model in an optical lattice via simplified double-well model and hybridization… Expand

Luther-Emery phase and atomic-density waves in a trapped fermion gas.

- Physics, Medicine
- Physical review letters
- 2007

This Letter studies by means of the density-matrix renormalization-group technique a two-component atomic Fermi gas with attractive interactions subject to parabolic trapping inside an optical lattice and demonstrates how this system exhibits compound phases characterized by the coexistence of spin pairing and atomic-density waves. Expand

Collective excitations in one-dimensional ultracold Fermi gases: Comparative study

- Physics
- 2008

Time-dependent density-functional theory (TDDFT) is a powerful tool to study the non-equilibrium dynamics of inhomogeneous interacting many-body systems. Here we show that the simple adiabatic… Expand

The Hubbard dimer: a density functional case study of a many-body problem.

- Physics, Medicine
- Journal of physics. Condensed matter : an Institute of Physics journal
- 2015

This review explains the relationship between density functional theory and strongly correlated models using the simplest possible example, the two-site Hubbard model, and explores the behavior of the gap and the many-body Green's function, demonstrating the 'failure' of the Kohn-Sham (KS) method to reproduce the fundamental gap. Expand

Developing Thermal Density Functional Theory Using the Asymmetric Hubbard Dimer

- Physics
- 2017

Author(s): Smith, Justin Clifford | Advisor(s): Burke, Kieron | Abstract: In this dissertation, I introduce both ground-state and thermal density functional theory. Throughout I use the asymmetric… Expand

Density functionals and model Hamiltonians: Pillars of many-particle physics

- Physics
- 2013

Abstract Density-functional theory (DFT) and model Hamiltonians are conceptually distinct approaches to the many-particle problem, which can be developed and applied independently. In practice,… Expand

QUANTUM MECHANICS AT WORK

- Physics
- 2007

The paper of N. Bogoliubov [J. Phys. USSR 11, 23 (1947)] has opened the way to understanding coherent quantum manybody systems. I briey

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