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

Harold U. Baranger·Pier A. Mello
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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.

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Harold U. Baranger, Pier A. Mello. 1994-03-15. Mesoscopic Transport Through Ballistic Cavities: A Random S-Matrix Theory Approach. https://doi.org/10.1103/physrevlett.73.142

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