The statistics of eigenvector components of random band matrices: analytical results
- 21 June 1993
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 26 (12) , L551-L558
- https://doi.org/10.1088/0305-4470/26/12/012
Abstract
By using a supersymmetric formalism the authors calculate analytically all higher moments Pq= Sigma n mod Psi n mod 2q generalizing the inverse participation ratio P2 where Psi n (1<or=n<or=N) stands for the nth component of an eigenvector of a large random matrix with a band structure. On this basis they reconstruct the whole probability distribution function of eigenvector components. The relation with known numerical results is discussed.Keywords
This publication has 23 references indexed in Scilit:
- Eigenvector statistics of random band matricesPhysical Review A, 1992
- Scaling properties of localization in random band matrices: A σ-model approachPhysical Review Letters, 1991
- Scaling properties of the eigenvalue spacing distribution for band random matricesJournal of Physics A: General Physics, 1991
- Density of eigenvalues of random band matricesPhysical Review A, 1991
- On the equivalence of the classical-limit scattering matrix to the Wentzel-Kramers-Brillouin formalismJournal of Physics A: General Physics, 1991
- Spectral statistics in semiclassical random-matrix ensemblesPhysical Review Letters, 1991
- Eigenvector statistics and multifractal scaling of band random matricesPhysics Letters A, 1990
- Eigenvalue statistics of distorted random matricesPhysical Review Letters, 1990
- Scaling behavior of localization in quantum chaosPhysical Review Letters, 1990
- Spectral fluctuation properties of Hamiltonian systems: the transition region between order and chaosJournal of Physics A: General Physics, 1985