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 …

The statistical theory of quantum dots

Y Alhassid - Reviews of Modern Physics, 2000 - APS
A quantum dot is a sub-micron-scale conducting device containing up to several thousand
electrons. Transport through a quantum dot at low temperatures is a quantum-coherent …

Statistics of resonance poles, phase shifts and time delays in quantum chaotic scattering: Random matrix approach for systems with broken time-reversal invariance

YV Fyodorov, HJ Sommers - Journal of Mathematical Physics, 1997 - pubs.aip.org
Assuming the validity of random matrices for describing the statistics of a closed chaotic
quantum system, we study analytically some statistical properties of the S-matrix …

Quantum effects in Coulomb blockade

IL Aleiner, PW Brouwer, LI Glazman - Physics Reports, 2002 - Elsevier
We review the quantum interference effects in a system of interacting electrons confined to a
quantum dot. The review starts with a description of an isolated quantum dot. We discuss the …

Quantum mechanical time-delay matrix in chaotic scattering

PW Brouwer, KM Frahm, CWJ Beenakker - Physical review letters, 1997 - APS
We calculate the probability distribution of the matrix Q=− i ħ S− 1∂ S/∂ E for a chaotic
system with scattering matrix S at energy E. The eigenvalues τ j of Q are the so-called proper …

Scattering, reflection and impedance of waves in chaotic and disordered systems with absorption

YV Fyodorov, DV Savin… - Journal of Physics A …, 2005 - iopscience.iop.org
We review recent progress in analysing wave scattering in systems with both intrinsic chaos
and/or disorder and internal losses, when the scattering matrix is no longer unitary. By …

[图书][B] Nanostructured energy devices: equilibrium concepts and kinetics

J Bisquert - 2014 - books.google.com
Due to the pressing needs of society, low cost materials for energy devices have
experienced an outstanding development in recent times. In this highly multidisciplinary …

Statistics of Complex Wigner Time Delays as a Counter of -Matrix Poles: Theory and Experiment

L Chen, SM Anlage, YV Fyodorov - Physical Review Letters, 2021 - APS
We study the statistical properties of the complex generalization of Wigner time delay τ W for
subunitary wave-chaotic scattering systems. We first demonstrate theoretically that the mean …

Wigner time delay and related concepts: Application to transport in coherent conductors

C Texier - Physica E: Low-dimensional Systems and …, 2016 - Elsevier
The concepts of Wigner time delay and Wigner–Smith matrix allow us to characterise
temporal aspects of a quantum scattering process. The paper reviews the statistical …