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

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

2010-11-02

arxiv.org/abs/1011.0659v2

Phys. Rev. B 83, 184206 (2011)

Physics

Condensed Matter

Disordered Systems and Neural Networks

6 pages, 5 figures Accepted for publication in PRB

Scientific paper

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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