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Energy averaging and the flux-periodic phenomena in small normal-metal rings

Energy averaging and the flux-periodic phenomena in small normal-metal rings The low-frequency ac conductivity, σ , is evaluated numerically with use of the Kubo formula with inelastic lifetimes for a small one-dimensional (1D) closed metallic ring with random potentials. The effects of thermal excitations at finite temperatures and of increasing inelastic scattering are considered. It is found that energy averaging over a range larger than the typical level spacing (in 1D) markedly reduces the fundamental ( hc/e ) and odd harmonic periodicities of σ as a function of the Aharonov-Bohm flux, φ , through the ring. Thus, energy averaging makes the lowest even harmonic ( hc/2e ) appear to be the fundamental period. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Physical Review B American Physical Society (APS)

Energy averaging and the flux-periodic phenomena in small normal-metal rings

Physical Review B , Volume 33 (12) – Jun 15, 1986
6 pages

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Publisher
American Physical Society (APS)
Copyright
Copyright © 1986 The American Physical Society
ISSN
1095-3795
DOI
10.1103/PhysRevB.33.7992
Publisher site
See Article on Publisher Site

Abstract

The low-frequency ac conductivity, σ , is evaluated numerically with use of the Kubo formula with inelastic lifetimes for a small one-dimensional (1D) closed metallic ring with random potentials. The effects of thermal excitations at finite temperatures and of increasing inelastic scattering are considered. It is found that energy averaging over a range larger than the typical level spacing (in 1D) markedly reduces the fundamental ( hc/e ) and odd harmonic periodicities of σ as a function of the Aharonov-Bohm flux, φ , through the ring. Thus, energy averaging makes the lowest even harmonic ( hc/2e ) appear to be the fundamental period.

Journal

Physical Review BAmerican Physical Society (APS)

Published: Jun 15, 1986

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