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Title: Second Sound in Systems of One-Dimensional Fermions

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.
Authors:
 [1] ;  [2]
  1. Argonne National Lab. (ANL), Argonne, IL (United States). Materials Science Division
  2. Univ. of Washington, Seattle, WA (United States). Dept. of Physics
Publication Date:
Grant/Contract Number:
AC02-06CH11357; FG02-07ER46452
Type:
Accepted Manuscript
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Volume: 119; Journal Issue: 26; Journal ID: ISSN 0031-9007
Publisher:
American Physical Society (APS)
Research Org:
Argonne National Lab. (ANL), Argonne, IL (United States)
Sponsoring Org:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
OSTI Identifier:
1417020
Alternate Identifier(s):
OSTI ID: 1414988

Matveev, K. A., and Andreev, A. V.. Second Sound in Systems of One-Dimensional Fermions. United States: N. p., Web. doi:10.1103/PhysRevLett.119.266801.
Matveev, K. A., & Andreev, A. V.. Second Sound in Systems of One-Dimensional Fermions. United States. doi:10.1103/PhysRevLett.119.266801.
Matveev, K. A., and Andreev, A. V.. 2017. "Second Sound in Systems of One-Dimensional Fermions". United States. doi:10.1103/PhysRevLett.119.266801.
@article{osti_1417020,
title = {Second Sound in Systems of One-Dimensional Fermions},
author = {Matveev, K. A. and Andreev, A. V.},
abstractNote = {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.},
doi = {10.1103/PhysRevLett.119.266801},
journal = {Physical Review Letters},
number = 26,
volume = 119,
place = {United States},
year = {2017},
month = {12}
}