Energy transport in Heisenberg chains beyond the Luttinger liquid paradigm

Abstract

We study the energy transport between two interacting spin chains which are initially separated, held at different temperatures and subsequently put in contact. We consider the spin-1/2 XXZ model in the gapless regime and exploit its integrability properties to formulate an analytical Ansatz for the non-equilibrium steady state even at temperatures where the low-energy Luttinger liquid description is not accurate. We apply our method to compute the steady energy current and benchmark it both with the known low-energy limit and at higher temperatures with numerical simulations. We find an excellent agreement even at high temperatures, where the Luttinger liquid prediction is shown to fail.

5 pages + 3 suppl. mat., 5 figures

References in corpus (6)

• The density-matrix renormalization group in the age of matrix product states
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• Conservation laws, integrability and transport in one-dimensional quantum systems
• Heat conduction in low-dimensional quantum magnets
• Thermal conductivity via magnetic excitations in spin-chain materials
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• Generalized-Hydrodynamic approach to Inhomogeneous Quenches: Correlations, Entanglement and Quantum Effects
• Emergent transport in a many-body open system driven by interacting quantum baths