Statistics of energy levels and eigenfunctions in disordered systems
Reads0
Chats0
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
Citations
More filters
Journal ArticleDOI
Exact exponents for the spin quantum Hall transition in the presence of multiple edge channels.
TL;DR: In this paper, the authors used supersymmetry to map the corresponding network model to a classical loop model, whose boundary critical behavior was recently determined exactly, and verified by extensive numerical simulations.
Journal ArticleDOI
Quantum dots with disorder and interactions: a solvable large-g limit.
TL;DR: This work analyzes the problem of interacting electrons on a ballistic quantum dot with chaotic boundary conditions, where the effective interactions at low energies are characterized by Landau parameters, and solves the problem in a saddle-point approximation.
Journal ArticleDOI
Focusing through random media in space and time: a transmission matrix approach
TL;DR: In this paper, the authors exploit the evolution in time of the transmission matrix following pulse excitation of a random medium to focus radiation at a selected time delay t and position r. The temporal profile of a focused microwave pulse is the same as the incident Gaussian pulse.
Journal ArticleDOI
From chaos to disorder: Statistics of the eigenfunctions of microwave cavities
TL;DR: In this article, the authors study the statistics of the experimental eigenfunctions of chaotic and disordered microwave billiards in terms of the moments of their spatial distributions, such as the inverse participation ratio (IPR) and density-density auto-correlation.
Journal ArticleDOI
Entanglement in many-body eigenstates of quantum-chaotic quadratic Hamiltonians
TL;DR: In this article, the average bipartite von Neumann entanglement entropy of many-body eigenstates of random quadratic Hamiltonians, namely, of Hamiltonians whose single-particle eigen states have random coefficients in the position basis, was analyzed.
References
More filters
Journal ArticleDOI
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.