Thermodynamics of strongly interacting fermions in two-dimensional optical lattices

Abstract

We study finite-temperature properties of strongly correlated fermions in two-dimensional optical lattices by means of numerical linked cluster expansions, a computational technique that allows one to obtain exact results in the thermodynamic limit. We focus our analysis on the strongly interacting regime, where the on-site repulsion is of the order of or greater than the band width. We compute the equation of state, double occupancy, entropy, uniform susceptibility, and spin correlations for temperatures that are similar to or below the ones achieved in current optical lattice experiments. We provide a quantitative analysis of adiabatic cooling of trapped fermions in two dimensions, by means of both flattening the trapping potential and increasing the interaction strength.

7 pages, 7 figures

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Cited by in corpus (76)

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• Ground-state phase diagram of the square lattice Hubbard model from density matrix embedding theory
• Imaging magnetic polarons in the doped Fermi-Hubbard model
• String patterns in the doped Hubbard model
• Observation of canted antiferromagnetism with ultracold fermions in an optical lattice
• Spin Transport in a Mott Insulator of Ultracold Fermions
• Unsupervised machine learning account of magnetic transitions in the Hubbard model
• Microscopic evolution of doped Mott insulators from polaronic metal to Fermi liquid
• Quantum state engineering of a Hubbard system with ultracold fermions
• A Short Introduction to Numerical Linked-Cluster Expansions
• Observation of 2D fermionic Mott insulators of ${}^{40}$K with single-site resolution
• Doublon-hole correlations and fluctuation thermometry in a Fermi-Hubbard gas
• Equation of state of the two-dimensional Hubbard model
• Compressibility of a fermionic Mott insulator of ultracold atoms
• Variational tensor network renormalization in imaginary time: benchmark results in the Hubbard model at finite temperature
• Antiferromagnetic correlations in two-dimensional fermionic Mott-insulating and metallic phases
• The pyrochlore S=1/2 Heisenberg antiferromagnet at finite temperature
• Observation of Nagaoka Polarons in a Fermi-Hubbard Quantum Simulator
• Possible inversion symmetry breaking in the $S=1/2$ pyrochlore Heisenberg magnet
• Equation of State of the Fermionic 2D Hubbard Model
• Pomeranchuk cooling of the SU($2N$) ultra-cold fermions in optical lattices
• Universal thermodynamics of an SU($N$) Fermi-Hubbard Model
• Visualizing Strange Metallic Correlations in the 2D Fermi-Hubbard Model with AI
• A neutral-atom Hubbard quantum simulator in the cryogenic regime
• Universal probes for antiferromagnetic correlations and entropy in cold fermions on optical lattices
• Thermodynamic and information-theoretic description of the Mott transition in the two-dimensional Hubbard model
• Quantum Many-Body Simulations of the 2D Fermi-Hubbard Model in Ultracold Optical Lattices
• Effect of particle statistics in strongly correlated two-dimensional Hubbard models
• Thermodynamics vs. local density fluctuations in the metal/Mott-insulator crossover
• Variational cluster approach to thermodynamic properties of interacting fermions at finite temperatures: A case study of the two-dimensional single-band Hubbard model at half filling
• Three-dimensional Hubbard model in the thermodynamic limit
• Linearized Auxiliary fields Monte Carlo: efficient sampling of the fermion sign
• Finite-temperature superconducting correlations of the Hubbard model
• Thermodynamics of two-dimensional spin models with bimodal random-bond disorder
• Measuring entropy and mutual information in the two-dimensional Hubbard model
• Entropy in the non-Fermi-liquid regime of the doped $2d$ Hubbard model
• Finite-temperature properties of strongly correlated fermions in the honeycomb lattice
• Short-Range Correlations and Cooling of Ultracold Fermions in the Honeycomb Lattice
• Competition of spin and charge excitations in the Hubbard model
• Magnetic, thermodynamic, and dynamical properties of the three-dimensional fermionic Hubbard model: A comprehensive Monte Carlo study
• Numerical linked cluster expansions for inhomogeneous systems
• Thermodynamics of the metal-insulator transition in the extended Hubbard model
• Density-functional theory approach to the thermodynamics of the harmonically confined one-dimensional Hubbard model
• Thermodynamic, magnetic and transport properties of the repulsive Hubbard model on the kagome lattice
• Magnon heat transport in a two-dimensional Mott insulator
• Strong-coupling diagrammatic Monte Carlo technique for correlated fermions and frustrated spins
• Numerical results on the short-range spin correlation functions in the ground state of the two-dimensional Hubbard model
• Magnetic properties and temperature variation of spectra in the Hubbard model
• Coherent Manipulation of Spin Correlations in the Hubbard Model
• Lanczos Boosted Numerical Linked-Cluster Expansion for Quantum Lattice Models
• Numerical linked-cluster expansions for disordered lattice models
• Effects of anisotropy in simple lattice geometries on many-body properties of ultracold fermions in optical lattices
• Dynamical arrest of ultracold lattice fermions
• Hybrid quantum-classical algorithm for the transverse-field Ising model in the thermodynamic limit
• Thermal versus Quantum Fluctuations of Optical Lattice Fermions
• Discriminating antiferromagnetic signatures in ultracold fermions by tunable geometric frustration
• Negative electron compressibility in the Hubbard Model
• Thermodynamics of the disordered Hubbard model studied via numerical linked-cluster expansions
• Effects of lattice geometry on thermopower properties of the repulsive Hubbard model
• Finite-Temperature Kinetic Ferromagnetism in the Square Lattice Hubbard Model
• Towards numerically exact computation of conductivity in the thermodynamic limit of interacting lattice models
• L-based numerical linked cluster expansion for square lattice models
• Density Matrix Embedding Theory and Strongly Correlated Lattice Systems
• Thermodynamics of the Hubbard model on stacked honeycomb and square lattices
• Magnetic properties and superconductivity in the two-dimensional repulsive Hubbard model
• Structural complexity of snapshots of 2D Fermi-Hubbard systems
• Magnetostriction in the $J$-$K$-$\Gamma$ model: Application of the numerical linked cluster expansion
• Quantum Monte Carlo study of the metal-insulator crossover in the square-lattice Hubbard model
• Quantum simulation of the Hubbard model with ultracold fermions in optical lattices
• Fermionic-propagator and alternating-basis quantum Monte Carlo methods for correlated electrons on a lattice
• Site-resolved observables in the doped spin-imbalanced triangular Hubbard model
• Specific heat and density anomaly in the Hubbard model