Statistics of magnetoconductance in ballistic cavities

Xiazhou Yang, Hiromu Ishio, and Joachim Burgdörfer
Phys. Rev. B 52, 8219 – Published 15 September 1995
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Abstract

The statistical properties of magnetoconductance in ballistic microcavities are investigated numerically. The distribution of conductance for chaotic cavities is found to follow the renormalized Porter-Thomas distribution suggested by random-matrix theory for the Gaussian ensemble while the conductance distribution of regular cavities in magnetic fields is nonuniversal and shifted towards the maximum value for a given number of open channels. The renormalized Porter-Thomas distribution implies a universal dependence of fluctuation amplitude on the mean conductance for chaotic cavities in the absence of time-reversal symmetry. The fluctuation amplitude for regular cavities is found to be larger than the saturation value of the fluctuation amplitude of chaotic cavities predicted by random-matrix theory. The change of the mean conductance as a function of the external magnetic field is consistent with semiclassical predictions.

  • Received 1 December 1994

DOI:https://doi.org/10.1103/PhysRevB.52.8219

©1995 American Physical Society

Authors & Affiliations

Xiazhou Yang, Hiromu Ishio, and Joachim Burgdörfer

  • Department of Physics, University of Tennessee, Knoxville, Tennessee 37996-1200
  • Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831-6377

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Issue

Vol. 52, Iss. 11 — 15 September 1995

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