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.

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Cited by in corpus (19)

• Ballistic transport in the one-dimensional Hubbard model: the hydrodynamic approach
• Correlation functions and transport coefficients in generalised hydrodynamics
• 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
• Proposal for measuring the finite-temperature Drude weight of integrable systems
• Hubbard-to-Heisenberg crossover (and efficient computation) of Drude weights at low temperatures
• One-dimensional quantum systems at finite temperatures can be simulated efficiently on classical computers
• 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
• Spin conductivity of the XXZ chain in the antiferromagnetic massive regime
• 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
• 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
• Photodynamic melting of phase-reversed charge stripes and enhanced condensation