Equilibration of quasi-one-dimensional Fermi gases

DeGottardi, Wade; Matveev, K. A.

doi:10.1103/PhysRevB.99.245121

Title: Equilibration of quasi-one-dimensional Fermi gases

Journal Article · Tue Jun 11 00:00:00 EDT 2019 · Physical Review B

DOI:https://doi.org/10.1103/PhysRevB.99.245121· OSTI ID:1526639

DeGottardi, Wade ^[1]; Matveev, K. A. ^[2]

Univ. of Maryland, College Park, MD (United States)
Argonne National Lab. (ANL), Argonne, IL (United States)

One-dimensional systems often possess multiple channels or bands arising from the excitation of transverse degrees of freedom. In this work, we study the specific processes that dominate the equilibration of multichannel Fermi gases at low temperatures. Focusing on the case of two channels, we perform an analysis of the relaxation properties of these systems by studying the spectrum and eigenmodes of the linearized collision integral. As an application of this analysis, a detailed calculation of the bulk viscosity is presented. As a result, the dominant scattering processes obey an unexpected conservation law which is likely to affect the hydrodynamic behavior of these systems.

View Accepted Manuscript (DOE)

View Accepted Manuscript (Publisher)

Cite

Export

Save

Research Organization:: Argonne National Lab. (ANL), Argonne, IL (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22). Materials Sciences & Engineering Division; USDOE

Grant/Contract Number:: AC02-06CH11357

OSTI ID:: 1526639

Alternate ID(s):: OSTI ID: 1546232

Journal Information:: Physical Review B, Vol. 99, Issue 24; ISSN 2469-9950

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

Citation Metrics:

Cited by: 5 works

Citation information provided by
Web of Science

References (29)

Focus on out-of-equilibrium dynamics in strongly interacting one-dimensional systems J. Daley, A.; Rigol, M.; S. Weiss, D. New Journal of Physics, Vol. 16, Issue 9 https://doi.org/10.1088/1367-2630/16/9/095006	journal	September 2014
Quantized conductance of point contacts in a two-dimensional electron gas van Wees, B. J.; van Houten, H.; Beenakker, C. W. J. Physical Review Letters, Vol. 60, Issue 9 https://doi.org/10.1103/PhysRevLett.60.848	journal	February 1988
Nonuniversal Conductance Quantization in Quantum Wires Yacoby, A.; Stormer, H. L.; Wingreen, Ned S. Physical Review Letters, Vol. 77, Issue 22 https://doi.org/10.1103/PhysRevLett.77.4612	journal	November 1996
Transition from a One-Dimensional to a Quasi-One-Dimensional State in Interacting Quantum Wires Meyer, Julia S.; Matveev, K. A.; Larkin, A. I. Physical Review Letters, Vol. 98, Issue 12 https://doi.org/10.1103/PhysRevLett.98.126404	journal	March 2007
Electrical and Thermal Transport in Inhomogeneous Luttinger Liquids DeGottardi, Wade; Matveev, K. A. Physical Review Letters, Vol. 114, Issue 23 https://doi.org/10.1103/PhysRevLett.114.236405	journal	June 2015
Confinement Induced Molecules in a 1D Fermi Gas Moritz, Henning; Stöferle, Thilo; Günter, Kenneth Physical Review Letters, Vol. 94, Issue 21 https://doi.org/10.1103/PhysRevLett.94.210401	journal	June 2005
Electron liquids and solids in one dimension Deshpande, Vikram V.; Bockrath, Marc; Glazman, Leonid I. Nature, Vol. 464, Issue 7286 https://doi.org/10.1038/nature08918	journal	March 2010
Interacting electrons in one dimension beyond the Luttinger-liquid limit Barak, Gilad; Steinberg, Hadar; Pfeiffer, Loren N. Nature Physics, Vol. 6, Issue 7 https://doi.org/10.1038/nphys1678	journal	May 2010
X-ray-edge singularities in nanotubes and quantum wires with multiple subbands Balents, Leon Physical Review B, Vol. 61, Issue 7 https://doi.org/10.1103/PhysRevB.61.4429	journal	February 2000
Theoretical Framework for Quasi-One Dimensional Systems Giamarchi, T. Chemical Reviews, Vol. 104, Issue 11 https://doi.org/10.1021/cr030647c	journal	November 2004
Second Sound in Systems of One-Dimensional Fermions Matveev, K. A.; Andreev, A. V. Physical Review Letters, Vol. 119, Issue 26 https://doi.org/10.1103/PhysRevLett.119.266801	journal	December 2017
Three-particle collisions in quantum wires: Corrections to thermopower and conductance Lunde, Anders Mathias; Flensberg, Karsten; Glazman, Leonid I. Physical Review B, Vol. 75, Issue 24 https://doi.org/10.1103/PhysRevB.75.245418	journal	June 2007
Transport properties of partially equilibrated quantum wires Micklitz, Tobias; Rech, Jérôme; Matveev, K. A. Physical Review B, Vol. 81, Issue 11 https://doi.org/10.1103/PhysRevB.81.115313	journal	March 2010
One-dimensional quantum liquids: Beyond the Luttinger liquid paradigm Imambekov, Adilet; Schmidt, Thomas L.; Glazman, Leonid I. Reviews of Modern Physics, Vol. 84, Issue 3 https://doi.org/10.1103/RevModPhys.84.1253	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 Haldane, F. D. M. Journal of Physics C: Solid State Physics, Vol. 14, Issue 19 https://doi.org/10.1088/0022-3719/14/19/010	journal	July 1981
Kinetics of Mobile Impurities and Correlation Functions in One-Dimensional Superfluids at Finite Temperature Arzamasovs, M.; Bovo, F.; Gangardt, D. M. Physical Review Letters, Vol. 112, Issue 17 https://doi.org/10.1103/PhysRevLett.112.170602	journal	April 2014
Relaxation in Luttinger liquids: Bose-Fermi duality Protopopov, I. V.; Gutman, D. B.; Mirlin, A. D. Physical Review B, Vol. 90, Issue 12 https://doi.org/10.1103/PhysRevB.90.125113	journal	September 2014
Thermal conductivity of the degenerate one-dimensional Fermi gas Matveev, K. A.; Ristivojevic, Zoran Physical Review B, Vol. 99, Issue 15 https://doi.org/10.1103/PhysRevB.99.155428	journal	April 2019
Observation of a One-Dimensional Tonks-Girardeau Gas Kinoshita, T. Science, Vol. 305, Issue 5687 https://doi.org/10.1126/science.1100700	journal	August 2004
Viscosity of a multichannel one-dimensional Fermi gas DeGottardi, Wade; Matveev, K. A. Physical Review B, Vol. 97, Issue 4 https://doi.org/10.1103/PhysRevB.97.045135	journal	January 2018
Interaction-Induced Resonance in Conductance and Thermopower of Quantum Wires Lunde, Anders Mathias; Flensberg, Karsten; Glazman, Leonid I. Physical Review Letters, Vol. 97, Issue 25 https://doi.org/10.1103/PhysRevLett.97.256802	journal	December 2006
The transport coefficients of a fermi liquid Sykes, J.; Brooker, G. A. Annals of Physics, Vol. 56, Issue 1 https://doi.org/10.1016/0003-4916(70)90002-3	journal	January 1970
Phases of the two-band model of spinless fermions in one dimension Ledermann, Urs; Le Hur, Karyn Physical Review B, Vol. 61, Issue 4 https://doi.org/10.1103/PhysRevB.61.2497	journal	January 2000
Scale Invariance and Viscosity of a Two-Dimensional Fermi Gas Vogt, Enrico; Feld, Michael; Fröhlich, Bernd Physical Review Letters, Vol. 108, Issue 7 https://doi.org/10.1103/PhysRevLett.108.070404	journal	February 2012
Hydrodynamic Description of Transport in Strongly Correlated Electron Systems Andreev, A. V.; Kivelson, Steven A.; Spivak, B. Physical Review Letters, Vol. 106, Issue 25 https://doi.org/10.1103/PhysRevLett.106.256804	journal	June 2011
Propagation and attenuation of sound in one-dimensional quantum liquids Matveev, K. A.; Andreev, A. V. Physical Review B, Vol. 98, Issue 15 https://doi.org/10.1103/PhysRevB.98.155441	journal	October 2018
One-dimensional transport and the quantisation of the ballistic resistance Wharam, D. A.; Thornton, T. J.; Newbury, R. Journal of Physics C: Solid State Physics, Vol. 21, Issue 8 https://doi.org/10.1088/0022-3719/21/8/002	journal	March 1988
Thermal Transport in One-Dimensional Electronic Fluids Samanta, R.; Protopopov, I. V.; Mirlin, A. D. Physical Review Letters, Vol. 122, Issue 20 https://doi.org/10.1103/PhysRevLett.122.206801	journal	May 2019
Viscous Dissipation in One-Dimensional Quantum Liquids Matveev, K. A.; Pustilnik, M. Physical Review Letters, Vol. 119, Issue 3 https://doi.org/10.1103/PhysRevLett.119.036801	journal	July 2017

Similar Records

Viscosity of a multichannel one-dimensional Fermi gas

Journal Article · Thu Jan 18 00:00:00 EST 2018 · Physical Review B · OSTI ID:1526639

DeGottardi, Wade; Matveev, K. A.

Realization of effective super Tonks-Girardeau gases via strongly attractive one-dimensional Fermi gases

Journal Article · Mon Mar 15 00:00:00 EDT 2010 · Physical Review. A · OSTI ID:1526639

Shu, Chen; Xiangguo, Yin; Liming, Guan; +2 more

Viscous dissipation in a gas of one-dimensional fermions with generic dispersion

Journal Article · Tue Feb 28 00:00:00 EST 2023 · Physical Review. B · OSTI ID:1526639

DeGottardi, Wade; Matveev, K. A.

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY

Title: Equilibration of quasi-one-dimensional Fermi gases

Citation Formats

References (29)

Similar Records

Related Subjects