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Title: Viscosity of a multichannel one-dimensional Fermi gas

Publication Date:
Sponsoring Org.:
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Resource Type:
Journal Article: Publisher's Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 97; Journal Issue: 4; Related Information: CHORUS Timestamp: 2018-01-18 10:29:32; Journal ID: ISSN 2469-9950
American Physical Society
Country of Publication:
United States

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.. 2018. "Viscosity of a multichannel one-dimensional Fermi gas". United States. doi:10.1103/PhysRevB.97.045135.
title = {Viscosity of a multichannel one-dimensional Fermi gas},
author = {DeGottardi, Wade and Matveev, K. A.},
abstractNote = {},
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
This content will become publicly available on January 18, 2019
Publisher's Accepted Manuscript

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  • We present an analytical solution of a SU([ital N])[times]SU([ital M]) generalization of the multichannel single-impurity Kondo model in the limit [ital N][r arrow][infinity], [ital M][r arrow][infinity], with [gamma]=[ital M]/[ital N] fixed. Non-Fermi-liquid behavior of the single electron Green function and of the local spin and flavor susceptibilities occurs in both regimes, [ital N][le][ital M] and [ital N][gt][ital M], with leading critical exponents [ital identical] to those found in the conformal field theory solution for [ital all] [ital N] and [ital M] (with [ital M][ge]2). We explain this remarkable agreement and connect it to spin-flavor separation,'' the essential feature of themore » non-Fermi-liquid, fixed point.« less
  • A vibrating-wire technique has been used to directly measure the viscosity increase in a dilute {sup 3}He-{sup 4}He solution caused by brute-force spin polarization up to 40%. The viscosity of a solution with degeneracy temperature {ital T}{sub {ital F}}=19.5 mK was measured over the temperature range 6.1--100 mK in magnetic fields of 1.00 and 7.96 T. Spin polarization caused a marked decrease in the mechanical {ital Q} of the viscometer at low temperatures. The observed viscosity is compared with calculations of the transport coefficients of dilute quantum gases for all temperatures and spin polarizations.
  • We have investigated {sup 3}He-{sup 4}He mixtures at {sup 3}He-concentrations 0.98% {le} x {le} 9.5% by the vibrating wire technique in the temperature range 1 mK {le} T {le} 100 mK and at pressures 0 bar {le} p {le} 20 bar. In the degenerate regime of the mixtures the Landau theory of Fermi liquids predicts a temperature dependence of the viscosity {eta} proportional T{sup {minus}1}. We report on the first observation of this behaviour at 3 mK {le} T {le} 10 mK for all investigated concentrations and pressures. At temperatures below about 20 mK slip corrections had to be takenmore » into account due to the increase of the quasiparticle mean free path at very low temperatures. The low-temperature cut-off in {eta} T{sup 2} = constant indicates the transition into the ballistic regime of the mixtures, where the mean free path of the quasiparticles exceeds the radius of the vibrating wire. Our results for the pressure dependence of the viscosity as well as for its magnitude show substantial differences from predictions based on pseudopotential theory. However, a calculation of {eta} with the quasiparticle interaction potential of recent solubility measurements in mixtures agrees well with our experimental data, in particular the pressure independence of {eta}.« less