Two-fluid dynamics of one-dimensional quantum liquids in the absence of Galilean invariance

K. A. Matveev, A. V. Andreev

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)

Abstract

Luttinger liquid theory of one-dimensional quantum systems ignores exponentially weak backscattering of particles. This endows Luttinger liquids with superfluid properties. The corresponding two-fluid hydrodynamic description available at present applies only to Galilean-invariant systems, whereas most experimental realizations of one-dimensional quantum liquids lack Galilean invariance. Here we develop the two-fluid theory of such quantum liquids. In the low-frequency limit the theory reduces to single-fluid hydrodynamics. However, the absence of Galilean invariance brings about three new transport coefficients. We obtain expressions for these coefficients in terms of the backscattering rate.

Original languageEnglish
Article number035418
JournalPhysical Review B
Volume100
Issue number3
DOIs
Publication statusPublished - 15 Jul 2019
Externally publishedYes

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