Random-matrix theories in quantum physics: common concepts

T Guhr, A Müller–Groeling, HA Weidenmüller - Physics Reports, 1998 - Elsevier
We review the development of random-matrix theory (RMT) during the last fifteen years. We
emphasize both the theoretical aspects, and the application of the theory to a number of …

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 …

[图书][B] Supersymmetry in disorder and chaos

K Efetov - 1999 - books.google.com
The development of the supersymmetry technique has led to significant advances in the
study of disordered metals and semiconductors. Proven of great use in the analysis of …

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 …

Mesoscopic fluctuations of eigenfunctions and level-velocity distribution in disordered metals

YV Fyodorov, AD Mirlin - Physical Review B, 1995 - APS
We calculate the distribution of eigenfunction amplitudes and the variance of the inverse
participation ratio (IPR) in disordered metallic samples. A relation is established between the …

Multifractal dimensions for orthogonal-to-unitary crossover ensemble

A Sarkar, A Dheer, S Kumar - Chaos: An Interdisciplinary Journal of …, 2024 - pubs.aip.org
Multifractal analysis is a powerful approach for characterizing ergodic or localized nature of
eigenstates in complex quantum systems. In this context, the eigenvectors of random …

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 …

Fluctuating Spin -Tensor in Small Metal Grains

PW Brouwer, X Waintal, BI Halperin - Physical Review Letters, 2000 - APS
In the presence of spin-orbit scattering, the splitting of an energy level ɛ μ in a generic small
metal grain due to the Zeeman coupling to a magnetic field B→ depends on the direction of …

Statistics of delay times in mesoscopic systems as a manifestation of eigenfunction fluctuations

A Ossipov, YV Fyodorov - Physical Review B—Condensed Matter and …, 2005 - APS
We reveal a general explicit relation between the statistics of delay times in one-channel
reflection from a mesoscopic sample of any spatial dimension and the statistics of the …

Fluctuating phase rigidity for a quantum chaotic system with partially broken time-reversal symmetry

SA Van Langen, PW Brouwer, CWJ Beenakker - Physical Review E, 1997 - APS
The functional ρ=|∫ dr-→ ψ 2| 2 measures the phase rigidity of a chaotic wave function ψ (r-
→) in the transition between Hamiltonian ensembles with orthogonal and unitary symmetry …