Competing instabilities at long length scales in the one-dimensional Bose-Fermi-Hubbard model at commensurate fillings

Abstract

We study the phase diagram of the one-dimensional Bose-Fermi-Hubbard model at unit filling for the scalar bosons and half filling for the $S=1/2$ fermions using quantum Monte Carlo simulations. The bare interaction between the fermions is set to zero. A central question of our study is what type of interactions can be induced between the fermions by the bosons, for both weak and strong interspecies coupling. We find that the induced interactions can lead to competing instabilities favoring phase separation, superconducting phases, and density wave structures, in many cases at work on length scales of more than 100 sites. Marginal bosonic superfluids with a density matrix decaying faster than what is allowed for pure bosonic systems with on-site interactions, are also found.

19 pages, 37 figures

References in corpus (17)

• Many-Body Physics with Ultracold Gases
• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
• Bose-Fermi Mixtures in a Three-dimensional Optical Lattice
• Mixtures of Bosonic and Fermionic Atoms in Optical Lattices
• Double-degenerate Bose-Fermi mixture of strontium
• Updated Core Libraries of the ALPS Project
• Two-Element Mixture of Bose and Fermi Superfluids
• Supersolid Bose-Fermi Mixtures in Optical Lattices
• Observation of a Degenerate Fermi Gas Trapped by a Bose-Einstein Condensate
• Mixture of bosonic and spin-polarized fermionic atoms in an optical lattice
• Characterization of Mott-insulating and superfluid phases in the one-dimensional Bose--Hubbard model
• The one-dimensional Bose-Fermi-Hubbard model in the heavy-fermion limit
• Coupled Dipole Oscillations of a Mass-Imbalanced Bose and Fermi Superfluid Mixture
• p-Wave superfluid and phase separation in atomic Bose-Fermi mixture
• Competition of superfluidity and density waves in one-dimensional Bose-Fermi mixtures
• Superfluidity near phase separation in Bose-Fermi mixtures

Cited by in corpus (1)

• Bound impurities in a one-dimensional Bose lattice gas: low-energy properties and quench-induced dynamics