Second sound in systems of one-dimensional fermions

K. A. Matveev; A. V. Andreev

doi:10.1103/physrevlett.119.266801

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arXiv · 1708.05733

Second sound in systems of one-dimensional fermions

K. A. Matveev·A. V. Andreev

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Abstract

We study sound in Galilean invariant systems of one-dimensional fermions. At low temperatures, we find a broad range of frequencies in which in addition to the waves of density there is a second sound corresponding to ballistic propagation of heat in the system. The damping of the second sound mode is weak, provided the frequency is large compared to a relaxation rate that is exponentially small at low temperatures. At lower frequencies the second sound mode is damped, and the propagation of heat is diffusive.

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K. A. Matveev, A. V. Andreev. 2017-12-18. Second sound in systems of one-dimensional fermions. https://doi.org/10.1103/physrevlett.119.266801

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