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

Journal Article · Mon Jul 15 00:00:00 EDT 2019 · Physical Review B

DOI:https://doi.org/10.1103/PhysRevB.100.035418· OSTI ID:1546066

Matveev, K. A. ^[1]; Andreev, A. V. ^[2]

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1. Argonne National Lab. (ANL), Argonne, IL (United States)
2. Univ. of Washington, Seattle, WA (United States)

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.

• Research Organization: Argonne National Laboratory (ANL), Argonne, IL (United States)
• Sponsoring Organization: USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22); USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22). Materials Sciences & Engineering Division
• Grant/Contract Number: AC02-06CH11357; FG02-07ER46452
• OSTI ID: 1546066
• Alternate ID(s): OSTI ID: 1546495
• Journal Information: Physical Review B, Journal Name: Physical Review B Journal Issue: 3 Vol. 100; ISSN 2469-9950; ISSN PRBMDO
• Publisher: American Physical Society (APS)
• Country of Publication: United States
• Language: English

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY