Scaling of electrical and thermal conductivities in an almost integrable chain

  title={Scaling of electrical and thermal conductivities in an almost integrable chain},
  author={Y. B. Huang and Christopher Karrasch and J. E. Moore},
  journal={Physical Review B},
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… 

Figures from this paper

High-temperature coherent transport in the XXZ chain in the presence of an impurity
We study high-temperature spin transport through an anisotropic spin-1/2 Heisenberg chain in which integrability is broken by a single impurity close to the center of the chain. For a finite impurity
Multiple relaxation times in perturbed XXZ chain
We study numerically the relaxation of correlation functions in weakly perturbed integrable XXZ chain. While the decay of spin-current and energy-current correlations at zero magnetization are well
Entanglement Structure of Current-Driven Diffusive Fermion Systems
When an extended system is coupled at its opposite boundaries to two reservoirs at different temperatures or chemical potentials, it cannot achieve a global thermal equilibrium and is instead driven
Universal spin dynamics in infinite-temperature one-dimensional quantum magnets
Author(s): Dupont, M; Moore, JE | Abstract: © 2020 American Physical Society. We address the nature of spin dynamics in various integrable and nonintegrable, isotropic and anisotropic quantum spin-S
Nonequilibrium quantum dynamics and transport: from integrability to many-body localization
We review the non-equilibrium dynamics of many-body quantum systems after a quantum quench with spatial inhomogeneities, either in the Hamiltonian or in the initial state. We focus on integrable and
Hydrodynamics of weak integrability breaking
We review recent progress in understanding nearly integrable models within the framework of generalized hydrodynamics (GHD). Integrable systems have infinitely many conserved quantities and stable
Less is more: more scattering leading to less resistance
We study the breaking of integrability by a finite density of dilute impurities, specifically the emerging diffusive transport. Provided the distance between impurities (localized perturbations) is
Superdiffusion in spin chains
This review summarizes recent advances in our understanding of anomalous transport in spin chains, viewed through the lens of integrability. Numerical advances, based on tensor-network methods, have
Dissipation-assisted operator evolution method for capturing hydrodynamic transport
We introduce the dissipation-assisted operator evolution (DAOE) method for calculating transport properties of strongly interacting lattice systems in the high temperature regime. DAOE is based on