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.