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Scattering length of Andreev reflection from quantized vortices in ³He-B

Lookup NU author(s): Emeritus Professor Yuri Sergeev, Professor Carlo Barenghi, Dr Nugzar Suramlishvili

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This is the authors' accepted manuscript of an article that has been published in its final definitive form by American Physical Society, 2015.

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Abstract

Andreev reflection of thermal quasiparticles from quantized vortices is an important technique to visualize quantum turbulence in low temperature ³He-B. We revisit a problem of Andreev reflection from the isolated, rectilinear vortex line. For quasiparticle excitations whose impact parameters, defined as distances of the closest approach to the vortex core, do not exceed some arbitrary value b, we calculate exactly the reflected fraction of the total flux of excitations incident upon the vortex in the direction orthogonal to the vortex line.We then define and calculate exactly, as a function of b, the scattering length, that is the scattering cross section per unit length of the vortex line. We also define and calculate the scattering lengths for the flux of energy carried by thermal excitations, and for the net energy flux resulting from a (small) temperature gradient, and analyze the dependence of these scattering lengths on temperature.

Publication metadata

Author(s): Sergeev YA, Barenghi CF, Fisher SN, Tsepelin V, Suramlishvili N

Publication type: Article

Publication status: Published

Journal: Physical Review B

Year: 2015

Volume: 91

Issue: 13

Print publication date: 01/04/2015

Online publication date: 16/04/2015

Acceptance date: 02/04/2015

Date deposited: 01/05/2015

ISSN (print): 1098-0121

ISSN (electronic): 1550-235X

Publisher: American Physical Society

URL: http://dx.doi.org/10.1103/PhysRevB.91.134507

DOI: 10.1103/PhysRevB.91.134507

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