Energy transport in Heisenberg chains beyond the Luttinger liquid paradigm

Andrea De Luca; Jacopo Viti; Leonardo Mazza; Davide Rossini

doi:10.1103/physrevb.90.161101

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arXiv · 1407.1325

Energy transport in Heisenberg chains beyond the Luttinger liquid paradigm

Andrea De Luca·Jacopo Viti·Leonardo Mazza·Davide Rossini

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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.

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Andrea De Luca, Jacopo Viti, Leonardo Mazza, Davide Rossini. 2014-07-04. Energy transport in Heisenberg chains beyond the Luttinger liquid paradigm. https://doi.org/10.1103/physrevb.90.161101

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