The one-dimensional Bose-Fermi-Hubbard model in the heavy-fermion limit
arXiv:0709.2386 · doi:10.1103/PhysRevA.77.023601
Abstract
We study the phase diagram of the zero-temperature, one-dimensional Bose-Fermi-Hubbard model for fixed fermion density in the limit of small fermionic hopping. This model can be regarded as an instance of a disordered Bose-Hubbard model with dichotomic values of the stochastic variables. Phase boundaries between compressible, incompressible (Mott-insulating) and partially compressible phases are derived analytically within a generalized strong-coupling expansion and numerically using density matrix renormalization group (DMRG) methods. We show that first-order correlations in the partially compressible phases decay exponentially, indicating a glass-type behaviour. Fluctuations within the respective incompressible phases are determined using perturbation theory and are compared to DMRG results.
arXiv comment11 pages, 15 figures, 2nd, revised version
References in corpus (30)
- Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
- Cold bosonic atoms in optical lattices
- The density-matrix renormalization group
- Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
- The cold atom Hubbard toolbox
- Two-species mixture of quantum degenerate Bose and Fermi gases
- Strong-coupling expansions for the pure and disordered bose Hubbard model
- Phases of the one-dimensional Bose-Hubbard model
- Bose-Fermi Mixtures in a Three-dimensional Optical Lattice
- Atomic Bose-Fermi mixtures in an optical lattice
- Phase Diagram of Bosonic Atoms in Two-Color Superlattices
- Supersolid versus Phase Separation in Atomic Bose-Fermi Mixture
- Mixtures of Bosonic and Fermionic Atoms in Optical Lattices
- Luttinger liquid of polarons in one-dimensional boson-fermion mixtures
- Interaction-driven Dynamics of 40K / 87Rb Fermi-Bose Gas Mixtures in the Large Particle Number Limit
- Ultracold Bose Gases in 1D Disorder: From Lifshits Glass to Bose-Einstein Condensate
- Density matrix renormalization group for disordered bosons in one dimension
- Phase diagram of Bose-Fermi mixtures in one-dimensional optical lattices
- Exactly solvable case of a one-dimensional Bose-Fermi mixture
- Quantum phases of atomic boson-fermion mixtures in optical lattices
- Fractional-filling loophole insulator domains for ultracold bosons in optical superlattices
- Inhomogeneous atomic Bose-Fermi mixtures in cubic lattices
- Phase separation of atomic Bose-Fermi mixtures in an optical lattice
- Cell strong coupling perturbative approach to the phase diagram of ultracold bosons in optical superlattices
- Mean-field theory of Bose-Fermi mixtures in optical lattices
- Probing States in the Mott Insulator Regime
- Expansion of a Fermi gas interacting with a Bose-Einstein condensate
- Occupation number and fluctuations in the finite-temperature Bose-Hubbard model
- Holstein model and Peierls instability in 1D boson-fermion lattice gases
- Mean-field description of ultracold Bosons on disordered two-dimensional optical lattices
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- Role of interactions in 87Rb-40K Bose-Fermi mixtures in a 3d optical lattice
- Topological edge states in the one-dimensional super-lattice Bose-Hubbard model
- Ultracold bosons with short-range interaction in regular optical lattices
- Optical lattice quantum Hall effect
- Time evolution of many-body localized systems in two spatial dimensions
- Multi-band and nonlinear hopping corrections to the 3D Bose-Fermi Hubbard model
- Supersolidity of cold-atom Bose-Fermi mixtures in optical lattices
- From the Cooper problem to canted supersolids in Bose-Fermi mixtures
- Application of a multi-site mean-field theory to the disordered Bose-Hubbard model
- Gutzwiller approach to the Bose-Hubbard model with random local impurities
- Induced pairing of fermionic impurities in a one-dimensional strongly correlated Bose gas
- Superfluid and Mott Insulator phases of one-dimensional Bose-Fermi mixtures
- Ultracold bosons in lattices with binary disorder
- Mott Insulator to Superfluid transition in Bose-Bose mixtures in a two-dimensional lattice
- Generalized Dynamical Mean-Field Theory for Bose-Fermi Mixtures in Optical Lattices
- Mean-field phase diagram of the Bose-Fermi Hubbard model
- Superfluid-insulator transition in Fermi-Bose mixtures and the orthogonality catastrophe
- Multimer formation in 1D two-component gases and trimer phase in the asymmetric attractive Hubbard model
- Loss of superfluidity by fermions in the boson Hubbard model on an optical lattice
- Fermion mediated long-range interactions of bosons in the 1D Bose-Fermi-Hubbard model
- Quantum Monte Carlo study of the visibility of one-dimensional Bose-Fermi mixtures
- A single fermion in a Bose Josephson Junction
- Effects of a dilute gas of fermions on the superfluid-insulator phase diagram of the Bose-Hubbard model
- Boson Hubbard model with weakly coupled Fermions
- Ultracold bosons in disordered superlattices: Mott-insulators induced by tunneling
- Strong coupling expansion for the Bose-Hubbard and the Jaynes-Cummings lattice model
- Phase transitions in Bose-Fermi-Hubbard model in the heavy fermion limit: Hard-core boson approach
- Counterflow superfluid of polaron pairs in Bose-Fermi mixtures in optical lattices
- Mixture of scalar bosons and two-color fermions in one dimension: Superfluid-insulator transitions
- Insulator phases of a mixture of spinor fermions and hard-core bosons
- Spin-selective insulators in Bose-Fermi mixtures
- Momentum reconstruction and contact of the one-dimensional Bose-Fermi mixture
- Bose-Hubbard model with random impurities: Multiband and nonlinear hopping effects
- Competing instabilities at long length scales in the one-dimensional Bose-Fermi-Hubbard model at commensurate fillings
- Insulator phases of Bose-Fermi mixtures induced by intraspecies next-neighbor interactions
- Exotic Superfluid with Emergent flux in a one-dimensional Bose-Fermi mixture