Persistent current in a mesoscopic ring with diffuse surface scattering
K.V. Samokhin (University of Cambridge, UK)

TL;DR
This paper calculates the persistent current in a mesoscopic ring with chaotic surface scattering, using a supersymmetric sigma model to analyze the effects of magnetic flux on electron correlations.
Contribution
It introduces a novel application of the ballistic supersymmetric sigma model to analyze persistent currents in rings with surface irregularities.
Findings
Persistent current depends on surface scattering and magnetic flux.
The supersymmetric sigma model effectively describes chaotic electron dynamics.
Results provide insights into mesoscopic quantum coherence phenomena.
Abstract
The persistent current in a clean mesoscopic ring with ballistic electron motion is calculated. The particle dynamics inside a ring is assumed to be chaotic due to scattering at the surface irregularities of atomic size. This allows one to use the so-called ``ballistic'' supersymmetric \sigma model for calculation of the two-level correlation function in the presence of a nonzero magnetic flux.
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