Spin-drag relaxation time in one-dimensional spin-polarized Fermi gases

Diego Rainis, Marco Polini, M. P. Tosi, and G. Vignale
Phys. Rev. B 77, 035113 – Published 11 January 2008

Abstract

Spin propagation in systems of one-dimensional interacting fermions at finite temperature is intrinsically diffusive. The spreading rate of a spin packet is controlled by a transport coefficient termed “spin drag” relaxation time τsd. In this paper we present both numerical and analytical calculations of τsd for a two-component spin-polarized cold Fermi gas trapped inside a tight atomic waveguide. At low temperatures we find an activation law for τsd, in agreement with earlier calculations of Coulomb drag between slightly asymmetric quantum wires, but with a different and much stronger temperature dependence of the prefactor. Our results provide a fundamental input for microscopic time-dependent spin-density functional theory calculations of spin transport in one-dimensional inhomogeneous systems of interacting fermions.

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  • Received 28 September 2007

DOI:https://doi.org/10.1103/PhysRevB.77.035113

©2008 American Physical Society

Authors & Affiliations

Diego Rainis1, Marco Polini1,*, M. P. Tosi1, and G. Vignale2

  • 1NEST-CNR-INFM and Scuola Normale Superiore, I-56126 Pisa, Italy
  • 2Department of Physics and Astronomy, University of Missouri, Columbia, Missouri 65211, USA

  • *m.polini@sns.it

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Vol. 77, Iss. 3 — 15 January 2008

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