Random-matrix theory of quantum transport

CWJ Beenakker - Reviews of modern physics, 1997 - APS
This is a review of the statistical properties of the scattering matrix of a mesoscopic system.
Two geometries are contrasted: A quantum dot and a disordered wire. The quantum dot is a …

Shot noise in mesoscopic conductors

YM Blanter, M Büttiker - Physics reports, 2000 - Elsevier
Theoretical and experimental work concerned with dynamic fluctuations has developed into
a very active and fascinating subfield of mesoscopic physics. We present a review of this …

Multiple scattering of classical waves: microscopy, mesoscopy, and diffusion

MCW van Rossum, TM Nieuwenhuizen - Reviews of Modern Physics, 1999 - APS
A tutorial discussion of the propagation of waves in random media is presented. To a first
approximation the transport of the multiple scattered waves is given by diffusion theory, but …

Turbulence hierarchy and multifractality in the integer quantum hall transition

ALR Barbosa, THV de Lima, IRR González… - Physical Review Letters, 2022 - APS
We offer a new perspective on the problem of characterizing mesoscopic fluctuations in the
interplateau regions of the integer quantum Hall transition. We found that longitudinal and …

Conductance distributions in quasi-one-dimensional disordered wires

LS Froufe-Pérez, P García-Mochales, PA Serena… - Physical review …, 2002 - APS
A detailed analysis of the distribution of conductances P (g) of quasi-one-dimensional
disordered wires in the metal-insulator crossover is presented. P (g) obtained from a Monte …

Nonlinear statistics of quantum transport in chaotic cavities

DV Savin, HJ Sommers, W Wieczorek - Physical Review B—Condensed Matter …, 2008 - APS
In the framework of the random matrix approach, we apply the theory of Selberg's integral to
problems of quantum transport in chaotic cavities. All the moments of transmission …

Transmission through a many-channel random waveguide with absorption

PW Brouwer - Physical Review B, 1998 - APS
We compute the statistical distribution of the transmittance of a random waveguide with
absorption in the limit of many propagating channels. We consider the average and …

Anomalous conductance distribution in quasi-one-dimensional gold wires: Possible violation of the one-parameter scaling hypothesis

P Mohanty, RA Webb - Physical review letters, 2002 - APS
We report measurements of conductance distribution in a set of quasi-one-dimensional gold
wires. The distribution includes the second cumulant or the variance which describes the …

Supersymmetry applied to the spectrum edge of random matrix ensembles

AV Andreev, BD Simons, N Taniguchi - Nuclear Physics B, 1994 - Elsevier
A new matrix ensemble has recently been proposed to describe the transport properties in
mesoscopic quantum wires. Both analytical and numerical studies have shown that the …

Equivalence of the transmission-eigenvalue density in supersymmetric and scaling theories of disordered wires without time-reversal symmetry

B Rejaei - Physical Review B, 1996 - APS
The transmission-eigenvalue density in a disordered wire without time-reversal symmetry is
calculated exactly by means of the supersymmetric theory. The calculation is based on the …