skip to main content
DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Viscosity of a multichannel one-dimensional Fermi gas

Abstract

Many one-dimensional systems of experimental interest possess multiple bands arising from shallow confining potentials. In this paper, we study a gas of weakly interacting fermions and show that the bulk viscosity is dramatically altered by the occupation of more than one band. The reasons for this are twofold: a multichannel system is more easily displaced from equilibrium and the associated relaxation processes lead to more rapid equilibration than in the single channel case. We estimate the bulk viscosity in terms of the underlying microscopic interactions. Furthermore, the experimental relevance of this physics is discussed in the context of quantum wires and trapped cold atomic gases.

Authors:
 [1];  [2]
  1. Univ. of Maryland, College Park, MD (United States)
  2. Argonne National Lab. (ANL), Argonne, IL (United States)
Publication Date:
Research Org.:
Argonne National Lab. (ANL), Argonne, IL (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22). Materials Sciences & Engineering Division; USDOE
OSTI Identifier:
1425213
Alternate Identifier(s):
OSTI ID: 1417412
Grant/Contract Number:  
AC02-06CH11357
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 97; Journal Issue: 4; 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

DeGottardi, Wade, and Matveev, K. A. Viscosity of a multichannel one-dimensional Fermi gas. United States: N. p., 2018. Web. doi:10.1103/PhysRevB.97.045135.
DeGottardi, Wade, & Matveev, K. A. Viscosity of a multichannel one-dimensional Fermi gas. United States. doi:10.1103/PhysRevB.97.045135.
DeGottardi, Wade, and Matveev, K. A. Thu . "Viscosity of a multichannel one-dimensional Fermi gas". United States. doi:10.1103/PhysRevB.97.045135. https://www.osti.gov/servlets/purl/1425213.
@article{osti_1425213,
title = {Viscosity of a multichannel one-dimensional Fermi gas},
author = {DeGottardi, Wade and Matveev, K. A.},
abstractNote = {Many one-dimensional systems of experimental interest possess multiple bands arising from shallow confining potentials. In this paper, we study a gas of weakly interacting fermions and show that the bulk viscosity is dramatically altered by the occupation of more than one band. The reasons for this are twofold: a multichannel system is more easily displaced from equilibrium and the associated relaxation processes lead to more rapid equilibration than in the single channel case. We estimate the bulk viscosity in terms of the underlying microscopic interactions. Furthermore, the experimental relevance of this physics is discussed in the context of quantum wires and trapped cold atomic gases.},
doi = {10.1103/PhysRevB.97.045135},
journal = {Physical Review B},
number = 4,
volume = 97,
place = {United States},
year = {2018},
month = {1}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Citation Metrics:
Cited by: 2 works
Citation information provided by
Web of Science

Figures / Tables:

Fig. 1 Fig. 1: The scattering processes which dominate the relaxation properties of a two-channel Fermi gas. In the particular process shown, right- and left-moving fermions in band 1 are both scattered into band 2. The dashed line indicates the chemical potential in the rest frame of the gas.

Save / Share:

Works referenced in this record:

Observation of Shock Waves in a Strongly Interacting Fermi Gas
journal, April 2011


Quantized conductance of point contacts in a two-dimensional electron gas
journal, February 1988


Electron-electron-scattering-induced size effects in a two-dimensional wire
journal, February 1994


Electrical and Thermal Transport in Inhomogeneous Luttinger Liquids
journal, June 2015


Theory of ultracold atomic Fermi gases
journal, October 2008

  • Giorgini, Stefano; Pitaevskii, Lev P.; Stringari, Sandro
  • Reviews of Modern Physics, Vol. 80, Issue 4
  • DOI: 10.1103/RevModPhys.80.1215

Electron liquids and solids in one dimension
journal, March 2010

  • Deshpande, Vikram V.; Bockrath, Marc; Glazman, Leonid I.
  • Nature, Vol. 464, Issue 7286
  • DOI: 10.1038/nature08918

Fermi-Luttinger liquid: Spectral function of interacting one-dimensional fermions
journal, October 2007


Tuning the Interactions of Spin-Polarized Fermions Using Quasi-One-Dimensional Confinement
journal, April 2004


Hydrodynamic electron flow in high-mobility wires
journal, May 1995


Shear viscosity and damping of collective modes in a two-dimensional Fermi gas
journal, March 2012


p -Wave Interactions in Low-Dimensional Fermionic Gases
journal, November 2005


The transport coefficients of a fermi liquid
journal, January 1970


Negative Temperature Derivative of Resistivity in Thin Potassium Samples: The Gurzhi Effect?
journal, January 1984


Scale Invariance and Viscosity of a Two-Dimensional Fermi Gas
journal, February 2012


Hydrodynamic Description of Transport in Strongly Correlated Electron Systems
journal, June 2011


One-dimensional quantum liquids: Beyond the Luttinger liquid paradigm
journal, September 2012

  • Imambekov, Adilet; Schmidt, Thomas L.; Glazman, Leonid I.
  • Reviews of Modern Physics, Vol. 84, Issue 3
  • DOI: 10.1103/RevModPhys.84.1253

One-dimensional transport and the quantisation of the ballistic resistance
journal, March 1988

  • Wharam, D. A.; Thornton, T. J.; Newbury, R.
  • Journal of Physics C: Solid State Physics, Vol. 21, Issue 8
  • DOI: 10.1088/0022-3719/21/8/002

Evidence for hydrodynamic electron flow in PdCoO2
journal, February 2016


Viscous Dissipation in One-Dimensional Quantum Liquids
journal, July 2017


    Figures / Tables found in this record:

      Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.