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

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

1994-03-15

arxiv.org/abs/cond-mat/9403056v1

Physics

Condensed Matter

4 pages revtex 3.0 (2-column) plus 2 postscript figures (appended), hub.pam.94.1

Scientific paper

10.1103/PhysRevLett.73.142

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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