Generalized Inverse Participation Ratio as a Possible Measure of Localization for Interacting Systems

2010/11/30 by N. C. Murphy, R. Wortis, W. A. Atkinson · 2 citations
Physics and Astronomy · #cond-mat.dis-nn #cond-mat.str-el

paper · pdf · doi:10.1103/physrevb.83.184206

published as Phys. Rev. B 83, 184206 (2011) · 6 pages, 5 figures Accepted for publication in PRB

arxiv created 2011/04/14 · arxiv updated 2015/05/20

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.

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