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Transport in Fermi Liquids Confined by Rough Walls

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Abstract

I present theoretical calculations of the thermal conductivity of Fermi liquid \(^3\)He confined to a slab of thickness of order \(\sim \)100 nm. The effect of the roughness of the confining surfaces is included directly in terms of the surface roughness power spectrum which may be determined experimentally. Transport at low temperatures is limited by scattering off rough surfaces and evolves into the known high-temperature limit in bulk through an anomalous regime in which both inelastic quasiparticle scattering and elastic scattering off the rough surface coexist. I show preliminary calculations for the coefficients of thermal conductivity. These studies are applicable in the context of electrical transport in metal nanowires as well as experiments that probe the superfluid phase diagram of liquid \(^3\)He in a slab geometry.

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Acknowledgments

I would like to thank the Jawaharlal Nehru Centre for Advanced Scientific Research, Bangalore for hosting me during the course of this work. I am grateful to M. Eschrig for several helpful discusssions, and J. Saunders for his support. This article is part of the special issue QFS2013, published in the J. Low Temp. Phys. 175 (1/2) 2014.

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Correspondence to Priya Sharma.

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Sharma, P. Transport in Fermi Liquids Confined by Rough Walls. J Low Temp Phys 177, 3–7 (2014). https://doi.org/10.1007/s10909-014-1180-y

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