Two-fluid dynamics of one-dimensional quantum liquids in the absence of Galilean invariance
arXiv:1905.03335 · doi:10.1103/PhysRevB.100.035418
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.
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- Hydrodynamic electron transport near charge neutrality
- Superfluidity in the 1D Bose-Hubbard Model
- Anomalous Hydrodynamics in One Dimensional Electronic Fluid
- Viscous Properties of a Degenerate One-Dimensional Fermi Gas
- Algebraic localization-delocalization phase transition in moving potential wells on a lattice
- Viscous dissipation in a gas of one-dimensional fermions with generic dispersion