Effects of disorder on atomic density waves and spin-singlet dimers in one-dimensional optical lattices
arXiv:0803.2312 · doi:10.1103/PhysRevB.78.085108
Abstract
Using the Bethe-ansatz density-functional theory, we study a one-dimensional Hubbard model of confined attractively interacting fermions in the presence of a uniformly distributed disorder. The strongly-correlated Luther-Emery nature of the attractive one-dimensional Hubbard model is fully taken into account as the reference system in the density-functional theory. The effects of the disorder are investigated on the atomic-density waves in the weak-to-intermediate attractive interaction and on the spin-singlet dimers of doubly occupied sites in the strongly attractive regime. It is found that atomic density waves are sensitive to the disorder and the spin-singlet dimers of doubly occupied sites are quite unstable against the disorder. We also show that very weak disorder could smear the singularities in the stiffness, thus suppress the spin-singlet pairs.
6 pages, 5 figures
References in corpus (42)
- Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
- Observation of resonance condensation of fermionic atom pairs
- Metallic behavior and related phenomena in two dimensions
- Fermionic atoms in a 3D optical lattice: Observing Fermi-surfaces, dynamics and interactions
- Probing many-body states of ultra-cold atoms via noise correlations
- Metal-insulator transition in two-dimensional electron systems
- Confinement induced molecules in a 1D Fermi gas
- A Bose-Einstein condensate in a random potential
- Evidence for Superfluidity of Ultracold Fermions in an Optical Lattice
- Hanbury Brown Twiss effect for ultracold quantum gases
- Atomic Bose and Anderson glasses in optical lattices
- Measurement of positive and negative scattering lengths in a Fermi gas of atoms
- Ultracold fermions and the SU(N) Hubbard model
- Suppression of Transport of an Interacting Elongated Bose-Einstein Condensate in a Random Potential
- Anderson Localization of Expanding Bose-Einstein Condensates in Random Potentials
- Localization of bosonic atoms by fermionic impurities in a 3d optical lattice
- Effect of optical disorder and single defects on the expansion of a Bose-Einstein condensate in a one-dimensional waveguide
- Routes towards Anderson-Like localization of Bose-Einstein condensates in disordered optical lattices
- Formation of spatial shell structures in the superfluid to Mott insulator transition
- Phase Diagram of Bosonic Atoms in Two-Color Superlattices
- Matterwave localization in disordered cold atom lattices
- Disorder and the Supersolid State of Solid He
- Supersolid versus Phase Separation in Atomic Bose-Fermi Mixture
- Density-functionals not based on the electron gas: Local-density approximation for a Luttinger liquid
- Production of a Fermi gas of atoms in an optical lattice
- Unexpected Behavior of the Local Compressibility Near the B=0 Metal-Insulator Transition
- Thermodynamic Signature of a Two-Dimensional Metal-Insulator Transition
- Superfluidity vs Bose-Einstein condensation in a Bose gas with disorder
- Bethe-Ansatz density-functional theory of ultracold repulsive fermions in one-dimensional optical lattices
- Atomic Fermi-Bose mixtures in inhomogeneous and random lattices: From Fermi glass to quantum spin glass and quantum percolation
- Effect of interactions on the localization of a Bose-Einstein condensate in a quasi-periodic lattice
- Atom cooling and trapping by disorder
- Disordered ultracold atomic gases in optical lattices: A case study of Fermi-Bose mixtures
- Competition of random and periodic potentials in interacting fermionic systems and classical equivalents: the Mott Glass
- Quantum phase transitions in electronic systems
- The Droplet State and the Compressibility Anomaly in Dilute 2D Electron Systems
- Luther-Emery Phase and Atomic-Density Waves in a Trapped Fermion Gas
- Fermionic Atoms in Optical Superlattices
- Commensurability effects for fermionic atoms trapped in 1D optical lattices
- Fermionic atoms trapped in one-dimensional optical superlattice with harmonic confinement
- Interacting Fermi Gases in Disordered One-Dimensional Lattices
- Coulomb gap in one-dimensional disordered electronic systems
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- The Hubbard Dimer: A density functional case study of a many-body problem
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- Electric field response of strongly correlated one-dimensional metals: a Bethe-Ansatz density functional theory study
- Ground-state properties of the one-dimensional attractive Hubbard model with confinement: a comparative study
- Phase separation in optical lattices in a spin-dependent external potential
- Magnetism Localization in Spin-Polarized One-Dimensional Anderson-Hubbard Model
- Double occupancies in confined attractive fermions on optical lattices