Second sound in systems of one-dimensional fermions
classification
❄️ cond-mat.mes-hall
cond-mat.quant-gascond-mat.str-el
keywords
soundsecondfermionsfrequenciesheatmodeone-dimensionalpropagation
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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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