Scaling of electrical and thermal conductivities in an almost integrable chain

Abstract

Many low-dimensional materials are well described by integrable one-dimensional models such as the Hubbard model of electrons or the Heisenberg model of spins. However, the small perturbations to these models required to describe real materials are expected to have singular effects on transport quantities: integrable models often support dissipationless transport, while weak non-integrable terms lead to finite conductivities. We use matrix-product-state methods to obtain quantitative values of spin/electrical and thermal conductivities in an almost integrable gapless chain (an XXZ spin chain with staggered fields, or equivalently a spinless fermion chain with staggered on-site potentials). The results at low temperatures validate a scaling theory based on bosonization.

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• Spin conductivity in almost integrable spin chains
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• Universal spin dynamics in infinite-temperature one-dimensional quantum magnets
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• Nonequilibrium thermal transport and its relation to linear response
• Interaction instability of localization in quasiperiodic systems
• Stability of superdiffusion in nearly integrable spin chains
• Typicality approach to the optical conductivity in thermal and many-body localized phases
• High-temperature coherent transport in the XXZ chain in the presence of an impurity
• Spin and energy currents in integrable and nonintegrable spin-1/2 chains: A typicality approach to real-time autocorrelations
• Universality classes of spin transport in one-dimensional isotropic magnets: the onset of logarithmic anomalies
• Transport properties of the one-dimensional Hubbard model at finite temperature
• Weak integrability breaking: chaos with integrability signature in coherent diffusion
• Entanglement structure of current-driven diffusive fermion systems
• Shock waves, rarefaction waves and non-equilibrium steady states in quantum critical systems
• Far from equilibrium energy flow in quantum critical systems
• Heat conductivity of the Heisenberg spin-1/2 ladder: From weak to strong breaking of integrability
• Hydrodynamics of nonintegrable systems from a relaxation-time approximation
• Minimally entangled typical thermal states versus matrix product purifications for the simulation of equilibrium states and time evolution
• Coexistence of energy diffusion and local thermalization in nonequilibrium XXZ spin chains with integrability breaking
• Non-equilibrium transport in $d$-dimensional non-interacting Fermi gases
• Superdiffusive transport of energy in one-dimensional metals
• Subdiffusive hydrodynamics of nearly-integrable anisotropic spin chains
• Less is more: more scattering leading to less resistance
• Temperature Dependent Energy Diffusion in Chaotic Spin Chains
• Entanglement dynamics in critical random quantum Ising chain with perturbations
• Quantum phase transition by employing trace distance along with the density matrix renormalization group
• Integrability breaking in the Rule 54 cellular automaton
• Multiple relaxation times in perturbed XXZ chain
• Long-living prethermalization in nearly integrable spin ladders
• Electrical and thermal transport in the quasi-atomic limit of coupled Luttinger liquids
• Minimally entangled typical thermal states algorithm with Trotter gates
• Thermal and optical conductivity in the Holstein model at half filling and at finite temperature in the Luttinger-liquid and charge-density-wave regime
• Thermal transport in disordered one-dimensional spin chains
• Quantum entropy thermalization
• Minimal one-dimensional model of bad metal behavior from fast particle-hole scattering
• Tunable Hilbert space fragmentation and extended critical regime