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

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 ${\tau }_{\mathrm{sd}}$. In this paper we present both numerical and analytical calculations of ${\tau }_{\mathrm{sd}}$ for a two-component spin-polarized cold Fermi gas trapped inside a tight atomic waveguide. At low temperatures we find an activation law for ${\tau }_{\mathrm{sd}}$, 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 1D inhomogeneous systems of interacting fermions.

7 pages, 5 figures

References in corpus (7)

• Spin-charge separation and localization in one-dimension
• Dynamic response of one-dimensional interacting fermions
• Spin-charge separation in cold Fermi-gases: a real time analysis
• Coulomb drag by small momentum transfer between quantum wires
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Cited by in corpus (5)

• Spin drag in an ultracold Fermi gas on the verge of a ferromagnetic instability
• Collective excitations in one-dimensional ultracold Fermi gases: a comparative study
• Time-dependent current-density-functional theory of spin-charge separation and spin drag in one-dimensional ultracold Fermi gases
• Spin Drag in Ultracold Fermi Mixtures with Repulsive Interactions
• One-particle spectral function singularities in a one-dimensional gas of spin-1/2 fermions with repulsive delta-function interaction