Generalized Inverse Participation Ratio as a Possible Measure of Localization for Interacting Systems
Disordered Systems and Neural Networks
2015-05-20 v2 Strongly Correlated Electrons
Abstract
We test the usefulness of a generalized inverse participation ratio (GIPR) as a measure of Anderson localization. The GIPR differs from the usual inverse participation ratio in that it depends on the local density of states rather than on the single-electron wavefunctions. This makes it suitable for application to many-body systems. We benchmark the GIPR by performing a finite-size scaling analysis of a disordered, noninteracting, three-dimensional tight-binding lattice. We find values for the critical disorder and critical exponents that are in agreement with published values.
Keywords
Cite
@article{arxiv.1011.0659,
title = {Generalized Inverse Participation Ratio as a Possible Measure of Localization for Interacting Systems},
author = {N. C. Murphy and R. Wortis and W. A. Atkinson},
journal= {arXiv preprint arXiv:1011.0659},
year = {2015}
}
Comments
6 pages, 5 figures Accepted for publication in PRB