Transport properties of the one-dimensional Hubbard model at finite temperature

Abstract

We study finite-temperature transport properties of the one-dimensional Hubbard model using the density matrix renormalization group. Our aim is two-fold: First, we compute both the charge and the spin current correlation function of the integrable model at half filling. The former decays rapidly, implying that the corresponding Drude weight is either zero or very small. Second, we calculate the optical charge conductivity sigma(omega) in presence of small integrability-breaking next-nearest neighbor interactions (the extended Hubbard model). The DC conductivity is finite and diverges as the temperature is decreased below the gap. Our results thus suggest that the half-filled, gapped Hubbard model is a normal charge conductor at finite temperatures. As a testbed for our numerics, we compute sigma(omega) for the integrable XXZ spin chain in its gapped phase.

References in corpus (64)

• The density-matrix renormalization group in the age of matrix product states
• The density-matrix renormalization group
• Matrix Product States, Projected Entangled Pair States, and variational renormalization group methods for quantum spin systems
• Efficient simulation of one-dimensional quantum many-body systems
• Real time evolution using the density matrix renormalization group
• Time-dependent density-matrix renormalization-group using adaptive effective Hilbert spaces
• Matrix Product Density Operators: Simulation of finite-T and dissipative systems
• Thermodynamic limit of the density matrix renormalization for the spin-1 Heisenberg chain
• Classical simulation of infinite-size quantum lattice systems in one spatial dimension
• Matrix product states represent ground states faithfully
• Mixed-state dynamics in one-dimensional quantum lattice systems: a time-dependent superoperator renormalization algorithm
• Transport and conservation laws
• Open XXZ spin chain: Nonequilibrium steady state and strict bound on ballistic transport
• Spin transport in a one-dimensional anisotropic Heisenberg model
• Finite Temperature Density Matrix Renormalization using an enlarged Hilbert space
• Finite temperature Drude weight of the one dimensional spin 1/2 Heisenberg model}
• Minimally entangled typical quantum states at finite temperature
• Diffusion and ballistic transport in one-dimensional quantum systems
• Families of quasi-local conservation laws and quantum spin transport
• Integrability and ideal conductance at finite temperatures
• Matrix product simulations of non-equilibrium steady states of quantum spin chains
• Nonequilibrium electron transport using the density matrix renormalization group
• Finite temperature dynamical DMRG and the Drude weight of spin-1/2 chains
• Zero-frequency transport properties of one dimensional spin-1/2 systems
• Matrix Product States for dynamical simulation of infinite chains
• Spectral functions in one-dimensional quantum systems at T>0
• Spin dynamics and transport in gapped one-dimensional Heisenberg antiferromagnets at nonzero temperatures
• Evidence for ideal insulating/conducting state in a 1D integrable system
• Conductivity of a clean one-dimensional wire
• Real-time and real-space spin- and energy dynamics in one-dimensional spin-1/2 systems induced by local quantum quenches at finite temperatures
• Spin-current autocorrelations from single pure-state propagation
• Low temperature spin diffusion in the one-dimensional quantum $O(3)$ nonlinear $\sigma$-model
• On the finite temperature Drude weight of the anisotropic Heisenberg chain
• Nonlinear optical response and spin-charge separation in one-dimensional Mott insulators
• Excitons in one-dimensional Mott insulators
• Optical conductivity of the half-filled Hubbard chain
• Scaling theory of the Mott-Hubbard metal-insulator transition in one dimension
• Low-temperature transport in Heisenberg chains
• Exact Drude weight for the one-dimensional Hubbard model at finite temperatures
• Optical excitations in a one-dimensional Mott insulator
• Spin transport in the XXZ chain at finite temperature and momentum
• Finite-temperature Drude weight within the anisotropic Heisenberg chain
• Diffusive high-temperature transport in the one-dimensional Hubbard model
• Spin conductivity in almost integrable spin chains
• Anomalous scaling of conductivity in integrable fermion systems
• The Drude weight of the spin-1/2 XXZ chain: density matrix renormalization group versus exact diagonalization
• Density dynamics in translationally invariant spin-1/2 chains at high temperatures: a current auto-correlation approach to finite time- and length-scales
• Real-time dynamics at finite temperature by DMRG: A path-integral approach
• Drude Weight at Finite Temperatures for Some Non-Integrable Quantum Systems in One Dimension
• Finite-temperature magnetization transport of the one-dimensional anisotropic Heisenberg model
• The Half-Filled One-Dimensional Extended Hubbard Model: Phase diagram and Thermodynamics
• Transport Properties of One-Dimensional Hubbard Models
• Scaling of electrical and thermal conductivities in an almost integrable chain
• Photoinduced metallic properties of one-dimensional strongly correlated electron systems
• Finite Drude weight for 1D low temperature conductors
• Finite-Temperature Transport in Finite-Size Hubbard Rings in the Strong-Coupling Limit
• Coexistence of Anomalous and Normal Diffusion in Integrable Mott Insulators
• Finite-frequency optical absorption in 1D conductors and Mott-Hubbard insulators
• Dynamical density matrix renormalization group study of photoexcited states in one-dimensional Mott insulators
• Optical response in one dimensional Mott Insulators
• Density matrix renormalization group study of optical conductivity in the one-dimensional Mott insulator Sr_2CuO_3
• Charge and spin Drude weight of the one-dimensional extended Hubbard model at quarter-filling
• Charge and Spin Transport in the One-dimensional Hubbard Model
• Optical conductivity of one-dimensional doped Hubbard-Mott insulator

Cited by in corpus (42)

• Hubbard model physics in transition metal dichalcogenide moiré bands
• Finite-temperature transport in one-dimensional quantum lattice models
• Hydrodynamic Diffusion in Integrable Systems
• Quasilocal charges in integrable lattice systems
• Diffusion in generalized hydrodynamics and quasiparticle scattering
• Microscopic origin of ideal conductivity in integrable quantum models
• Ballistic transport in the one-dimensional Hubbard model: the hydrodynamic approach
• Super-diffusion in one-dimensional quantum lattice models
• Spin Transport in a Mott Insulator of Ultracold Fermions
• Correlation functions and transport coefficients in generalised hydrodynamics
• Anomalous spin diffusion in one-dimensional antiferromagnets
• Spin and energy currents in integrable and nonintegrable spin-1/2 chains: A typicality approach to real-time autocorrelations
• Spin crossovers and superdiffusion in the one-dimensional Hubbard model
• Spin and thermal conductivity of quantum spin ladders
• Anomalous low-frequency conductivity in easy-plane XXZ spin chains
• Low-Temperature Transport in Out-of-Equilibrium XXZ Chains
• Edge singularities and quasi-long-range order in non-equilibrium steady states
• Symmetry Conserving Purification of Quantum States within the Density Matrix Renormalization Group
• Proposal for measuring the finite-temperature Drude weight of integrable systems
• Matrix product purifications for canonical ensembles and quantum number distributions
• Finite-temperature charge transport in the one-dimensional Hubbard model
• Hubbard-to-Heisenberg crossover (and efficient computation) of Drude weights at low temperatures
• Real-Time Dynamics of Typical and Untypical States in Non-Integrable Systems
• Charge stiffness and long-range correlation in the optically induced $\eta$-pairing state of the one-dimensional Hubbard model
• Exponential damping induced by random and realistic perturbations
• Thermal conductivity of the one-dimensional Fermi-Hubbard model
• One-dimensional quantum systems at finite temperatures can be simulated efficiently on classical computers
• Charge diffusion in the one-dimensional Hubbard model
• Diagrammatic study of optical excitations in correlated systems
• Holstein polaron transport from numerically "exact" real-time quantum dynamics simulations
• Negative entropy production rates in Drude-Sommerfeld metals
• Interaction effects in a microscopic quantum wire model with strong spin-orbit interaction
• Mott insulator breakdown through pattern formation
• Spin conductivity of the XXZ chain in the antiferromagnetic massive regime
• Density-matrix renormalization group method for the conductance of one-dimensional correlated systems using the Kubo formula
• Open-system spin transport and operator weight dissipation in spin chains
• Nontrivial damping of quantum many-body dynamics
• Thermal Drude weight in an integrable chiral clock model
• Displaced Drude peak from $\pi$-ton vertex corrections
• Photodynamic melting of phase-reversed charge stripes and enhanced condensation
• Fermionic-propagator and alternating-basis quantum Monte Carlo methods for correlated electrons on a lattice
• Quantum transport in 1D Hubbard model: Drude weights and Seebeck effect