Thermodynamics of the disordered Hubbard model studied via numerical linked-cluster expansions
arXiv:2101.12721 · doi:10.1103/PhysRevB.104.165102
Abstract
The interplay of disorder and strong correlations in quantum many-body systems remains an open question. That is despite much progress made in recent years with ultracold atoms in optical lattices to better understand phenomena such as many-body localization or the effect of disorder on Mott metal-insulator transitions. Here, we utilize the numerical linked-cluster expansion technique, extended to treat disordered quantum lattice models, and study exact thermodynamic properties of the disordered Fermi-Hubbard model on the square and cubic geometries. We consider box distributions for the disorder in the onsite energy, the interaction strength, as well as the hopping amplitude and explore how energy, double occupancy, entropy, heat capacity and magnetic correlations of the system in the thermodynamic limit evolve as the strength of disorder changes. We compare our findings with those obtained from determinant quantum Monte Carlo simulations and discuss the relevance of our results to experiments with cold fermionic atoms in optical lattices.
arXiv comment13 pages, 12 figures, same as the published version
References in corpus (71)
- Many-Body Physics with Ultracold Gases
- Anderson localization of a non-interacting Bose-Einstein condensate
- Observation of many-body localization of interacting fermions in a quasi-random optical lattice
- Direct observation of Anderson localization of matter-waves in a controlled disorder
- Experimental realization of a long-range antiferromagnet in the Hubbard model with ultracold atoms
- Possible Metal/Insulator Transition at B=0 in Two Dimensions
- Nonlocal Dynamical Correlations of Strongly Interacting Electron Systems
- Observation of antiferromagnetic correlations in the Hubbard model with ultracold atoms
- A Bose-Einstein condensate in a random potential
- Quenching the Anisotropic Heisenberg Chain: Exact Solution and Generalized Gibbs Ensemble Predictions
- Observation of Spatial Charge and Spin Correlations in the 2D Fermi-Hubbard Model
- Site-resolved measurement of the spin-correlation function in the Hubbard model
- Disorder-induced Localization in a Strongly Correlated Atomic Hubbard Gas
- Bad metallic transport in a cold atom Fermi-Hubbard system
- Metal-Insulator Transition in Disordered Two-Dimensional Electron Systems
- Strongly interacting bosons in a disordered optical lattice
- Single and two-particle energy gaps across the disorder-driven superconductor-insulator transition
- Numerical study of fermion and boson models with infinite-range random interactions
- Quantum spin liquid states in the two dimensional kagome antiferromagnets, ZnxCu4-x(OD)6Cl2
- Mean field theory of the Mott-Anderson transition
- Numerical Linked-Cluster Approach to Quantum Lattice Models
- Disordered insulator in an optical lattice
- Observation of canted antiferromagnetism with ultracold fermions in an optical lattice
- Spin Transport in a Mott Insulator of Ultracold Fermions
- Early breakdown of area-law entanglement at many-body delocalization transition
- Pseudogaps in Strongly Correlated Metals: A generalized dynamical mean-field theory approach
- Low temperature magnetization of the S=1/2 kagome antiferromagnet ZnCu_3(OH)_6Cl_2
- Glassy behavior in a binary atomic mixture
- Many-body localization and thermalization in disordered Hubbard chains
- Quantum Quenches in the Thermodynamic Limit
- Quantum state engineering of a Hubbard system with ultracold fermions
- Phase diagram of the three-dimensional Hubbard model at half filling
- A Short Introduction to Numerical Linked-Cluster Expansions
- Competing magnetic orders in a bilayer Hubbard model with ultracold atoms
- Geometry Dependence of the Sign Problem
- Benchmark study of the two-dimensional Hubbard model with auxiliary-field quantum Monte Carlo method
- Flow diagram of the metal-insulator transition in two dimensions
- Thermodynamics of strongly interacting fermions in two-dimensional optical lattices
- Signatures of Spin and Charge Energy Scales in the Local Moment and Specific Heat of the Two-Dimensional Hubbard Model
- Conducting phase in the two-dimensional disordered Hubbard model
- Inhomogeneous metallic phase upon disordering a two dimensional Mott insulator
- Emergent Novel Metallic State in a Disordered 2D Mott Insulator
- Specific Heat of the 2D Hubbard Model
- Thermodynamics of the planar Hubbard model
- A Typical Medium Dynamical Cluster Approximation for the Study of Anderson Localization in Three Dimensions
- Quantum Quenches and Relaxation Dynamics in the Thermodynamic Limit
- Disorder raises the critical temperature of a cuprate superconductor
- Combining Dynamical Quantum Typicality and Numerical Linked Cluster Expansions
- Quantum quenches and many-body localization in the thermodynamic limit
- Magnetic and Thermodynamic Properties of the Three-Dimensional Periodic Anderson Hamiltonian
- Testing the Monte Carlo - Mean Field approximation in the one-band Hubbard model
- Magnetic Correlations in the Two Dimensional Anderson-Hubbard Model
- Disorder and Interaction in 2D: Exact diagonalization study of the Anderson-Hubbard-Mott model
- Study of off-diagonal disorder using the typical medium dynamical cluster approximation
- Effect of particle statistics in strongly correlated two-dimensional Hubbard models
- Quantum quenches in the thermodynamic limit. II. Initial ground states
- Exact multi-electronic electron-concentration dependent ground-states for disordered two-dimensional two-band systems in presence of disordered hoppings and finite on-site random interactions
- Three-dimensional Hubbard model in the thermodynamic limit
- Cooling Atomic Gases With Disorder
- Finite-temperature superconducting correlations of the Hubbard model
- Numerical linked cluster expansions for quantum quenches in one dimensional lattices
- Thermodynamics of two-dimensional spin models with bimodal random-bond disorder
- Finite-temperature properties of strongly correlated fermions in the honeycomb lattice
- Quantum quench dynamics in the transverse-field Ising model: A numerical expansion in linked rectangular clusters
- Numerical linked cluster expansions for inhomogeneous systems
- Quantum dynamics from a numerical linked cluster expansion
- Constrained-path quantum Monte Carlo simulations of the zero-temperature disordered two-dimensional Hubbard model
- Enhancement of Long Range Antiferromagnetic Order by Nonmagnetic Impurities in the Hubbard Model
- Numerical linked-cluster expansions for disordered lattice models
- Disorder-controlled relaxation in a 3D Hubbard model quantum simulator
- DMFT+Sigma approach to disordered Hubbard model