Systematic approach to statistics of conductance and shot-noise in chaotic cavities

BA Khoruzhenko, DV Savin, HJ Sommers - Physical Review B—Condensed …, 2009 - APS
Applying random matrix theory to quantum transport in chaotic cavities, we develop a
powerful method for computing the moments of the conductance and shot-noise (including …

Probability distributions of linear statistics in chaotic cavities and associated phase transitions

P Vivo, SN Majumdar, O Bohigas - Physical Review B—Condensed Matter and …, 2010 - APS
We establish large deviation formulas for linear statistics on the N transmission eigenvalues
{T i} of a chaotic cavity, in the framework of random matrix theory. Given any linear statistics …

Resonance scattering of waves in chaotic systems

YV Fyodorov, DV Savin - arXiv preprint arXiv:1003.0702, 2010 - arxiv.org
Resonance Scattering of Waves in Chaotic Systems Page 1 arXiv:1003.0702v1 [cond-mat.mes-hall]
2 Mar 2010 Chapter 34 Resonance Scattering of Waves in Chaotic Systems YV Fyodorov1 …

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 …

Statistics of quantum transport in chaotic cavities with broken time-reversal symmetry

M Novaes - Physical Review B—Condensed Matter and Materials …, 2008 - APS
The statistical properties of quantum transport through a chaotic cavity are encoded in the
traces T n= Tr [(tt†) n], where t is the transmission matrix. Within the random matrix theory …

Transmission eigenvalue densities and moments in chaotic cavities from random matrix theory

P Vivo, E Vivo - Journal of Physics A: Mathematical and …, 2008 - iopscience.iop.org
We point out that the transmission eigenvalue density and higher order correlation functions
in chaotic cavities for an arbitrary number of incoming and outgoing leads (N 1, N 2) are …

Statistics of conductance and shot noise power in chaotic mesoscopic cavities with one ideal and one nonideal lead

A Dheer, S Kumar - Physica B: Condensed Matter, 2022 - Elsevier
Chaotic mesoscopic cavities with ideal leads have been studied extensively using the
powerful formalism of random matrix theory. Consequently, the statistical behavior of …

Statistics of reflection eigenvalues in chaotic cavities with nonideal leads

P Vidal, E Kanzieper - Physical Review Letters, 2012 - APS
The scattering matrix approach is employed to determine a joint probability density function
of reflection eigenvalues for chaotic cavities coupled to the outside world through both …

Electronic transport in chaotic mesoscopic cavities: A Kwant and random matrix theory based exploration

RS Chandramouli, RK Srivastav… - Chaos: An Interdisciplinary …, 2020 - pubs.aip.org
We investigate the spectral fluctuations and electronic transport properties of chaotic
mesoscopic cavities using Kwant, an open source Python programming language based …

Full counting statistics of chaotic cavities from classical action correlations

G Berkolaiko, JM Harrison… - Journal of Physics A …, 2008 - iopscience.iop.org
We present a trajectory-based semiclassical calculation of the full counting statistics of
quantum transport through chaotic cavities, in the regime of many open channels. Our …