Supersolid state in fermionic optical lattice systems

Abstract

We study ultracold fermionic atoms trapped in an optical lattice with harmonic confinement by combining the real-space dynamical mean-field theory with a two-site impurity solver. By calculating the local particle density and the pair potential in the systems with different clusters, we discuss the stability of a supersolid state, where an s-wave superfluid coexists with a density-wave state of checkerboard pattern. It is clarified that a confining potential plays an essential role in stabilizing the supersolid state. The phase diagrams are obtained for several effective particle densities.

7 pages, 5 figures, Phys. Rev. A in press

References in corpus (32)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• A Mott insulator of fermionic atoms in an optical lattice
• The cold atom Hubbard toolbox
• Metallic and Insulating Phases of Repulsively Interacting Fermions in a 3D Optical Lattice
• Anomalous Normal-State Properties of High-T${}_c$ Superconductors -- Intrinsic Properties of Strongly Correlated Electron Systems?
• Supersolid hardcore bosons on the triangular lattice
• Evidence for Superfluidity of Ultracold Fermions in an Optical Lattice
• Supersolid Order from Disorder: Hard-Core Bosons on the Triangular Lattice
• Persistent supersolid phase of hard-core bosons on the triangular lattice
• Supersolids versus phase separation in two-dimensional lattice bosons
• Quantum Phases of the Extended Bose-Hubbard Hamiltonian: Possibility of a Supersolid State of Cold Atoms in Optical Lattices
• Supersolid versus Phase Separation in Atomic Bose-Fermi Mixture
• Surface metal-insulator transition in the Hubbard model
• Local quantum criticality in confined fermions on optical lattices
• Antiferromagnetic Order of Strongly Interacting Fermions in a Trap: Real-Space Dynamical Mean-Field Analysis
• Spatial inhomogeneity and strong correlation physics: a dynamical mean field study of a model Mott-insulator/band-insulator heterostructure
• Dynamical mean-field theory for pairing and spin gap in the attractive Hubbard model
• Supersolid phases in the one dimensional extended soft core Bosonic Hubbard model
• Mott transition of fermionic atoms in a three-dimensional optical trap
• Density wave and supersolid phases of correlated bosons in an optical lattice
• Supersolid Bose-Fermi Mixtures in Optical Lattices
• Energetic balance of the superconducting transition across the BCS-Bose E instein crossover in the attractive Hubbard model
• Two-site dynamical mean-field theory
• First-Order Pairing Transition and Single-Particle Spectral Function in the Attractive Hubbard Model
• BCS - BEC crossover at T=0: A Dynamical Mean Field Theory Approach
• Luther-Emery Phase and Atomic-Density Waves in a Trapped Fermion Gas
• Supersolid state of ultracold fermions in an optical lattice
• Competing superfluid and density-wave ground-states of fermionic mixtures with mass imbalance in optical lattices
• Strongly renormalized quasi-two-dimensional electron gas in a heterostructure with correlation effects
• Supersolids in confined fermions on one-dimensional optical lattices
• Variational Monte Carlo analysis of the Hubbard model with a confining potential: one-dimensional fermionic optical lattice systems
• Multiband-Driven Superfluid-Insulator Transition of Fermionic Atoms in Optical Lattices: A Dynamical Mean-Field-Theory Study

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