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Title: Second Sound in Systems of One-Dimensional Fermions

Journal Article · · Physical Review Letters
 [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

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.

Research Organization:
Argonne National Lab. (ANL), Argonne, IL (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
Grant/Contract Number:
AC02-06CH11357; FG02-07ER46452
OSTI ID:
1417020
Alternate ID(s):
OSTI ID: 1414988
Journal Information:
Physical Review Letters, Vol. 119, Issue 26; ISSN 0031-9007
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 11 works
Citation information provided by
Web of Science

References (28)

Equilibration of a spinless Luttinger liquid journal January 2012
Reduction of quantized conductance at low temperatures observed in 2 to 10 μm-long quantum wires journal May 1995
Nonuniversal Conductance Quantization in Quantum Wires journal November 1996
Electrical and Thermal Transport in Inhomogeneous Luttinger Liquids journal June 2015
Confinement Induced Molecules in a 1D Fermi Gas journal June 2005
Coulomb-Blockade Oscillations in the Thermopower of a Quantum Dot journal April 1993
Relaxation of weakly interacting electrons in one dimension journal April 2013
Possible Evidence for Helical Nuclear Spin Order in GaAs Quantum Wires journal February 2014
Second sound and the superfluid fraction in a Fermi gas with resonant interactions journal May 2013
Single-barrier problem and Anderson localization in a one-dimensional interacting electron system journal February 1993
Energy Relaxation and Thermalization of Hot Electrons in Quantum Wires journal November 2010
Fermionic quasiparticle representation of Tomonaga-Luttinger Hamiltonian journal September 2005
Three-particle collisions in quantum wires: Corrections to thermopower and conductance journal June 2007
Transport properties of partially equilibrated quantum wires journal March 2010
One-dimensional quantum liquids: Beyond the Luttinger liquid paradigm journal September 2012
'Luttinger liquid theory' of one-dimensional quantum fluids. I. Properties of the Luttinger model and their extension to the general 1D interacting spinless Fermi gas journal July 1981
Experimental Evidence for Resonant Tunneling in a Luttinger Liquid journal February 2000
Transmission through barriers and resonant tunneling in an interacting one-dimensional electron gas journal December 1992
Kinetics of Mobile Impurities and Correlation Functions in One-Dimensional Superfluids at Finite Temperature journal April 2014
Relaxation in Luttinger liquids: Bose-Fermi duality journal September 2014
Scattering of charge and spin excitations and equilibration of a one-dimensional Wigner crystal journal July 2014
Remarks on Bloch's Method of Sound Waves applied to Many-Fermion Problems journal July 1950
An Exactly Soluble Model of a Many‐Fermion System journal September 1963
Observation of a One-Dimensional Tonks-Girardeau Gas journal August 2004
Equilibration of a One-Dimensional Wigner Crystal journal July 2010
Carbon nanotube intramolecular junctions journal November 1999
Luttinger-liquid behaviour in carbon nanotubes journal February 1999
Two-fluid hydrodynamic description of ordered systems journal October 1974

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