Issue |
Europhys. Lett.
Volume 50, Number 3, May I 2000
|
|
---|---|---|
Page(s) | 300 - 306 | |
Section | General | |
DOI | https://doi.org/10.1209/epl/i2000-00270-x | |
Published online | 01 September 2002 |
Universal statistics of wave functions in chaotic and disordered systems
1
Department of Physics and Centre for Nonlinear Studies Hong
Kong Baptist University - Hong Kong, PRC
2
Department of Physics, University of Houston - Houston TX
77204-506, USA
3
Department of Physics, National University of Singapore - 119620
Singapore
4
Department of Physics, South-east University - Nanjing
210096, PRC
Corresponding author: bwli@phibm.hkbu.edu.hk
Received:
26
October
1999
Accepted:
23
February
2000
We study a new statistics of wave functions in several chaotic and disordered systems: the random matrix model, band random matrix model, the Lipkin model, chaotic quantum billiard and the 1D tight-binding model. Both numerical and analytical results show that the distribution function of a generalized Riccati variable, defined as the ratio of components of eigenfunctions on basis states coupled by perturbation, is universal, and has the form of a Lorentzian distribution.
PACS: 05.45.Mt – Semiclassical chaos (“quantum chaos”) / 71.23.-k – Electronic structure of disordered solids / 72.15.Rn – Localization effects (Anderson or weak localization)
© EDP Sciences, 2000
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.