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arXiv · 1011.0659

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

N. C. Murphy·R. Wortis·W. A. Atkinson
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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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BibTeXRIS

N. C. Murphy, R. Wortis, W. A. Atkinson. 2011-04-14. Generalized Inverse Participation Ratio as a Possible Measure of Localization for Interacting Systems. https://doi.org/10.1103/physrevb.83.184206

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