Mesoscopic Transport Through Ballistic Cavities: A Random S-Matrix Theory Approach

Preprint

15 March 1994

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.cond-mat/9403056

Abstract

We deduce the effects of quantum interference on the conductance of chaotic cavities by using a statistical ansatz for the S matrix. Assuming that the circular ensembles describe the S matrix of a chaotic cavity, we find that the conductance fluctuation and weak-localization magnitudes are universal: they are independent of the size and shape of the cavity if the number of incoming modes, N, is large. The limit of small N is more relevant experimentally; here we calculate the full distribution of the conductance and find striking differences as N changes or a magnetic field is applied.

Keywords

QUANTUM INTERFERENCE
MESOSCOPIC TRANSPORT
BALLISTIC CAVITIES
CHAOTIC CAVITIES
MAGNETIC FIELD
MATRIX THEORY
TRANSPORT
CAVITY

All Related Versions

Version 1, 1994-03-15, ArXiv
Published version: Physical Review Letters, 73 (1), 142.

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