3 research outputs found
Non-perturbative calculation of the probability distribution of plane-wave transmission through a disordered waveguide
A non-perturbative random-matrix theory is applied to the transmission of a
monochromatic scalar wave through a disordered waveguide. The probability
distributions of the transmittances T_{mn} and T_n=\sum_m T_{mn} of an incident
mode n are calculated in the thick-waveguide limit, for broken time-reversal
symmetry. A crossover occurs from Rayleigh or Gaussian statistics in the
diffusive regime to lognormal statistics in the localized regime. A
qualitatively different crossover occurs if the disordered region is replaced
by a chaotic cavity. ***Submitted to Physical Review E.***Comment: 7 pages, REVTeX-3.0, 5 postscript figures appended as self-extracting
archive. A complete postscript file with figures and text (4 pages) is
available from http://rulgm4.LeidenUniv.nl/preprints.htm
Random-Matrix Theory of Quantum Transport
This is a comprehensive review of the random-matrix approach to the theory of
phase-coherent conduction in mesocopic systems. The theory is applied to a
variety of physical phenomena in quantum dots and disordered wires, including
universal conductance fluctuations, weak localization, Coulomb blockade,
sub-Poissonian shot noise, reflectionless tunneling into a superconductor, and
giant conductance oscillations in a Josephson junction.Comment: 85 pages including 52 figures, to be published in Rev.Mod.Phy