Low-temperature transport in Heisenberg chains

Abstract

A technique to determine accurately transport properties of integrable and non-integrable quantum-spin chains at finite temperatures by Quantum Monte-Carlo is presented. The reduction of the Drude weight by interactions in the integrable gapless regime is evaluated. Evidence for the absence of a Drude weight in the gapless regime of a non-integrable system with longer-ranged interactions is presented. We estimate the effect of the non-integrability on the transport properties and compare with recent experiments on one-dimensional quantum-spin chains.

accepted for publication (PRL)

Cited by in corpus (73)

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• Proposal for measuring the finite-temperature Drude weight of integrable systems
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• Hubbard-to-Heisenberg crossover (and efficient computation) of Drude weights at low temperatures
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• Ferromagnetic Spin Coupling as the Origin of 0.7 Anomaly in Quantum Point Contacts
• Non-dissipative Thermal Transport and Magnetothermal Effect for the Spin-1/2 Heisenberg Chain
• Diffusion constants from the recursion method
• Absence of high-temperature ballistic transport in the spin-$1/2$ $XXX$ chain within the grand-canonical ensemble
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• Asymmetric Heat Flow in Mesoscopic Magnetic System
• Scaling Study of the Metal-Insulator Transition in one-Dimensional Fermion Systems
• Spin Conductance in one-dimensional Spin-Phonon systems
• The spin Drude weight of the spin-1/2 $XXZ$ chain: An analytic finite size study
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• Lanczos-Pascal approach to correlation functions in chaotic quantum systems
• Energy and particle currents in a driven integrable system
• Transport properties of a spin-1/2 Heisenberg chain with an embedded spin-S impurity
• Boltzmann-type approach to transport in weakly interacting one-dimensional fermionic systems
• Digital Quantum Simulation of Spin Transport
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• Non-integrable fermionic chains near criticality