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

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

2008-01-15

arxiv.org/abs/0801.2324v1

Phys. Rev. B 77, 035113 (2008)

Physics

Condensed Matter

Strongly Correlated Electrons

7 pages, 5 figures

Scientific paper

10.1103/PhysRevB.77.035113

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 $\tau_{\rm sd}$. In this paper we present both numerical and analytical calculations of $\tau_{\rm sd}$ for a two-component spin-polarized cold Fermi gas trapped inside a tight atomic waveguide. At low temperatures we find an activation law for $\tau_{\rm sd}$, 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.

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