Mesoscopic transport through chaotic cavities: A randomS-matrix theory approach

Harold U. Baranger, Pier A. Mello
1994 Physical Review Letters  
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
more » ... f the conductance and find striking differences as N changes or a magnetic field is applied.
doi:10.1103/physrevlett.73.142 pmid:10056740 fatcat:extiluqh4rhanja7vd6aqaary4