Scaling properties of band random matrices
- 16 April 1990
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 64 (16) , 1851-1854
- https://doi.org/10.1103/physrevlett.64.1851
Abstract
It is shown on the basis of numerical data that the normalized localization length of eigenvectors of band random matrices follows a scaling law. The scaling parameter is /N, where b measures the bandwidth and N is the size of the matrix.
Keywords
This publication has 22 references indexed in Scilit:
- Scaling behavior of localization in quantum chaosPhysical Review Letters, 1990
- Kicked rotator for a spin-1/2particleJournal of Physics A: General Physics, 1989
- An example of chaotic eigenstates in a complex atomPhysics Letters A, 1985
- Chaos, Quantum Recurrences, and Anderson LocalizationPhysical Review Letters, 1982
- Random-matrix physics: spectrum and strength fluctuationsReviews of Modern Physics, 1981
- Finite size scaling approach to Anderson localisationJournal of Physics C: Solid State Physics, 1981
- Stochastic Behavior in Classical and Quantum Hamiltonian SystemsLecture Notes in Physics, 1979
- A relation between the density of states and range of localization for one dimensional random systemsJournal of Physics C: Solid State Physics, 1972
- Characteristics Vectors of Bordered Matrices with Infinite Dimensions IIAnnals of Mathematics, 1957
- Characteristic Vectors of Bordered Matrices With Infinite DimensionsAnnals of Mathematics, 1955