Random-matrix theory of parametric correlations in the spectra of disordered metals and chaotic billiards

C.W.J. Beenakker and B. Rejaei

Physica A: Statistical Mechanics and its Applications, 1994, vol. 203, issue 1, 61-90

Abstract: A random-matrix theory is developed for the adiabatic response to an external perturbation of the energy spectrum of a mesoscopic system. The basic assumption is that spectral correlations are governed by level repulsion. Following Dyson, the dependence of the energy levels on the perturbation parameter is modeled by a Brownian-motion process in a fictitious viscous fluid. A Fokker-Planck equation for the evolution of the distribution function is solved to yield the correlation of level densities at different energies and different parameter values. An approximate solution is obtained by asymptotic expansion and an exact solution by mapping onto a free-fermion model. A generalization to multiple parameters is also considered, corresponding to Brownian motion in a fictitious world with multiple temporal dimensions. Complete agreement is obtained with microscopic theory.

Date: 1994
References: View complete reference list from CitEc
Citations: View citations in EconPapers (3)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/0378437194900329
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:203:y:1994:i:1:p:61-90

DOI: 10.1016/0378-4371(94)90032-9

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().