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Publication: Generalized inverse participation ratio as a possible measure of localization for interacting systems

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Title Generalized inverse participation ratio as a possible measure of localization for interacting systems
Authors/Editors* N. C. Murphy, R. Wortis, W. A. Atkinson
Where published* Physical Review B
How published* Journal
Year* 2011
Volume 83
Number
Pages 104286
Publisher
Keywords
Link http://prb.aps.org/abstract/PRB/v83/i18/e184206
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 is constructed from the local density of states rather than the single-electron wave functions. 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.
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