Two-fluid dynamics of one-dimensional quantum liquids in the absence of Galilean invariance
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. In this work, 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. Lastly, we obtain expressions for these coefficients in terms of the backscattering rate.
- Authors:
-
- Argonne National Lab. (ANL), Argonne, IL (United States)
- Univ. of Washington, Seattle, WA (United States)
- Publication Date:
- Research Org.:
- Argonne National Laboratory (ANL), Argonne, IL (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22). Materials Sciences & Engineering Division; USDOE Office of Science (SC), Basic Energy Sciences (BES)
- OSTI Identifier:
- 1546066
- Alternate Identifier(s):
- OSTI ID: 1546495
- Grant/Contract Number:
- AC02-06CH11357; FG02-07ER46452
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review B
- Additional Journal Information:
- Journal Volume: 100; Journal Issue: 3; Journal ID: ISSN 2469-9950
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY
Citation Formats
Matveev, K. A., and Andreev, A. V. Two-fluid dynamics of one-dimensional quantum liquids in the absence of Galilean invariance. United States: N. p., 2019.
Web. doi:10.1103/PhysRevB.100.035418.
Matveev, K. A., & Andreev, A. V. Two-fluid dynamics of one-dimensional quantum liquids in the absence of Galilean invariance. United States. https://doi.org/10.1103/PhysRevB.100.035418
Matveev, K. A., and Andreev, A. V. Mon .
"Two-fluid dynamics of one-dimensional quantum liquids in the absence of Galilean invariance". United States. https://doi.org/10.1103/PhysRevB.100.035418. https://www.osti.gov/servlets/purl/1546066.
@article{osti_1546066,
title = {Two-fluid dynamics of one-dimensional quantum liquids in the absence of Galilean invariance},
author = {Matveev, K. A. and Andreev, A. V.},
abstractNote = {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. In this work, 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. Lastly, we obtain expressions for these coefficients in terms of the backscattering rate.},
doi = {10.1103/PhysRevB.100.035418},
journal = {Physical Review B},
number = 3,
volume = 100,
place = {United States},
year = {Mon Jul 15 00:00:00 EDT 2019},
month = {Mon Jul 15 00:00:00 EDT 2019}
}
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