Shear viscosity and spin diffusion in a two-dimensional Fermi gas

We investigate the temperature dependence of the shear viscosity and spin diffusion in a two-dimensional Fermi gas with contact interactions, as realized in ultra-cold atomic gases. We describe the transport coefficients in terms of a Boltzmann equation and present a full numerical solution for the...

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Bibliographic Details
Main Authors: Enss, Tilman (Author) , Küppersbusch, Carolin Sarah (Author) , Fritz, Lars (Author)
Format: Article (Journal) Chapter/Article
Language:English
Published: 2012
In: Arxiv

Online Access:Verlag, kostenfrei, Volltext: http://arxiv.org/abs/1205.2376
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Author Notes:Tilman Enss, Physik Department, Technische Universität München, James-Franck-Str., 85747 Garching, Germany; Carolin Küppersbusch and Lars Fritz, Institut für Theoretische Physik, Iniversiät zu Köln, Zülpicher Straße 77, 50937 Köln, Germany
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Summary:We investigate the temperature dependence of the shear viscosity and spin diffusion in a two-dimensional Fermi gas with contact interactions, as realized in ultra-cold atomic gases. We describe the transport coefficients in terms of a Boltzmann equation and present a full numerical solution for the degenerate gas. In contrast to previous works we take the medium effects due to finite density fully into account. This effect reduces the viscosity to entropy ratio, $\eta/s$, by a factor of three, and similarly for spin diffusion. The trap averaged viscosity agrees well with recent measurements by Vogt et al. [Phys. Rev. Lett. 108, 070404 (2012)].
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