Wigner-Dyson Statistics from the Keldysh Sigma-Model
Mesoscale and Nanoscale Physics
2009-01-23 v1
Abstract
The level statistics of disordered metallic grains with broken time reversal invariance is obtained from a saddle point analysis of the Keldysh nonlinear sigma-model.
Cite
@article{arxiv.cond-mat/0006363,
title = {Wigner-Dyson Statistics from the Keldysh Sigma-Model},
author = {Alexander Altland and Alex Kamenev},
journal= {arXiv preprint arXiv:cond-mat/0006363},
year = {2009}
}
Related papers
View all related →
Optics · Physics
Nonlinear sigma model for optical media with linear absorption or gain
Zhong Yuan Lai, Oleg Zaitsev
2012-04-25
Condensed Matter · Physics
Level Statistics in a Metallic Sample: Corrections to the Wigner-Dyson Distribution
Vladimir E. Kravtsov, Alexander D. Mirlin
2007-05-23
Disordered Systems and Neural Networks · Physics
Energy level statistics in weakly disordered systems: from quantum to diffusive regime
Naohiro Mae, Shinji Iida
2009-11-07
Other Condensed Matter · Physics
Keldysh technique and non-linear sigma-model: basic principles and applications
Alex Kamenev, Alex Levchenko
2015-05-13
Mesoscale and Nanoscale Physics · Physics
Quantum mechanics with a time-dependent random unitary Hamiltonian: A perturbative study of the nonlinear Keldysh sigma-model
D. A. Ivanov, M. A. Skvortsov
2007-05-23
Disordered Systems and Neural Networks · Physics
Level Correlations in Disordered Metals: the Replica sigma-Model
Alex Kamenev, Marc Mezard
2009-10-31
Disordered Systems and Neural Networks · Physics
Level-Statistics of Disordered Systems: a Single Parametric Formulation
Pragya Shukla
2009-09-29
Disordered Systems and Neural Networks · Physics
Level Correlations for Metal-Insulator Transition
Pragya Shukla
2007-05-23
Statistical Mechanics · Physics
Order parameter dynamics of the non-linear sigma model in the large $N$ limit
Sebastian Gemsheim, Ipsita Mandal, Krishnendu Sengupta, Zhiqiang Wang
2020-03-09
Mesoscale and Nanoscale Physics · Physics
Non-Wigner-Dyson level statistics and fractal wavefunction of disordered Weyl semimetals
C. Wang, Peng Yan, X. R. Wang
2019-06-05
Statistical Mechanics · Physics
Level-statistics in Disordered Systems: A single parametric scaling and Connection to Brownian Ensembles
Pragya Shukla
2009-11-10
Strongly Correlated Electrons · Physics
Weyl-Kondo Semimetal: Towards Control of Weyl Nodes
Sarah E. Grefe, Hsin-Hua Lai, Silke Paschen, Qimiao Si
2020-04-22
Condensed Matter · Physics
Non-universal corrections to the level curvature distribution beyond random matrix theory
I. V. Yurkevich, V. E. Kravtsov
2009-10-28
Quantum Physics · Physics
Keldysh Nonlinear Sigma Model for a Free-Fermion Gas under Continuous Measurements
Qinghong Yang, Yi Zuo, Dong E. Liu
2023-09-14
Mesoscale and Nanoscale Physics · Physics
Keldysh approach to the renormalization group analysis of the disordered electron liquid
G. Schwiete, A. M. Finkel'stein
2014-11-20
Superconductivity · Physics
Nonlinear $\sigma$ model for disordered superconductors
I. V. Yurkevich, Igor V. Lerner
2009-10-31
Condensed Matter · Physics
Statistics of S-matrix poles for chaotic systems with broken time reversal invariance: a conjecture
Yan V. Fyodorov, Mikhail Titov, H. -J. Sommers
2009-10-31
Disordered Systems and Neural Networks · Physics
Statistics of resonances in one-dimensional disordered systems
Evgeni Gurevich, Boris Shapiro
2015-06-04
Disordered Systems and Neural Networks · Physics
A Mathematically Controlled Alternative to the Supersymmetric Sigma Model of Disorder
Vincent E. Sacksteder
2009-06-02
Disordered Systems and Neural Networks · Physics
Higher order parametric level statistics in disordered systems
E. Kanzieper, V. Freilikher
2009-10-31
Optics · Physics
Direct measurement of broken time-reversal symmetry in centrosymmetric and non-centrosymmetric atomically thin crystals with nonlinear Kerr rotation
Florentine Friedrich, Paul Herrmann, Shridhar Sanjay Shanbhag, Sebastian Klimmer +2
2025-11-18
Condensed Matter · Physics
Critical behaviour at the metal-insulator transition in 3-dimensional disordered systems in a strong magnetic field
E. Hofstetter
2009-10-28
Condensed Matter · Physics
Spectral Statistics Beyond Random Matrix Theory
A. V. Andreev, B. L. Altshuler
2016-08-31
Mesoscale and Nanoscale Physics · Physics
Random Matrices and Supersymmetry in Disordered Systems
K. B. Efetov
2007-05-23
Condensed Matter · Physics
Crossover from Poisson to Wigner-Dyson Level Statistics in Spin Chains with Integrability Breaking
D. A. Rabson, B. N. Narozhny, A. J. Millis
2009-11-10