Statistics of energy levels and eigenfunctions in disordered systems
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TLDR
In this article, a review of recent developments in the theory of fluctuations and correlations of energy levels and eigenfunction amplitudes in diffusive mesoscopic samples is presented, with emphasis on low-dimensional (quasi-1D and 2D) systems.About:
This article is published in Physics Reports.The article was published on 2000-03-01 and is currently open access. It has received 557 citations till now. The article focuses on the topics: Eigenfunction & Mesoscopic physics.read more
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Journal ArticleDOI
Virial expansion of the nonlinear sigma model in the strong coupling limit
TL;DR: In this article, a perturbative approach was developed to study the supersymmetric nonlinear sigma model characterized by a generic coupling matrix in the strong coupling limit, which allows us to calculate explicitly the moments of the eigenfunctions and the two-level correlation function in the lowest order of the perturbation expansion.
Multifractal eigenfunctions for quantum star graphs
Jon P Keating,Henrik Ueberschaer +1 more
TL;DR: In this paper , it was shown that the eigenfunctions of quantum star graphs exhibit multifractal self-similar structure in certain specified circumstances, such as the Mellin transform of a specified function arising from the set of bond lengths, which yields an asymptotic for the Renyi entropy associated with an eigenfunction.
Journal ArticleDOI
Inherent stochastic linearization of random laser modes
TL;DR: In this paper, the effect of spontaneous emission noise on the nonlinear behavior of weakly scattering random laser was examined and linearization of random laser modes was shown to be possible when noise overcomes spatial hole burning.
Journal ArticleDOI
Nearly closed ballistic billiard with random boundary transmission
Igor Rozhkov,Ganpathy Murthy +1 more
TL;DR: In this article, a supersymmetric nonlinear model was proposed to evaluate the statistical properties of any physically measurable quantity in a billiard with a random coupling to the exterior at the boundary.
Book ChapterDOI
Wave Chaos and Multiple Scattering: A Story of Coherence
TL;DR: In this article, a review of the theoretical progress of the last two decades concerning wave propagation in complex systems originating in the fields of Quantum Chaos and Multiple Scattering Transport Theory is presented.
References
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Methods of Theoretical Physics. By P.M. Morse and H. Feschbach. 2vols., Pp.xxii, 1978. 120s. each vol. 1953.(McGraw-Hill)
Book
Wave propagation and scattering in random media
TL;DR: This IEEE Classic Reissue presents a unified introduction to the fundamental theories and applications of wave propagation and scattering in random media and is expressly designed for engineers and scientists who have an interest in optical, microwave, or acoustic wave propagate and scattering.
Journal ArticleDOI
Scaling Theory of Localization: Absence of Quantum Diffusion in Two Dimensions
TL;DR: In this paper, it was shown that the conductance of disordered electronic systems depends on their length scale in a universal manner, and asymptotic forms for the scaling function were obtained for both two-dimensional and three-dimensional systems.