Supersymmetric Virial Expansion for Time-Reversal Invariant Disordered Systems

Details Supersymmetric Virial Expansion for Time-Reversal Invariant Disordered Systems Supersymmetric Virial Expansion for Time-Reversal Invariant Disordered Systems

2009-10-02

arxiv.org/abs/0910.0382v1

J. Phys. A: Math. Theor. 43 (2010), 075001

Physics

Condensed Matter

Disordered Systems and Neural Networks

13 pages, 1 figure

Scientific paper

10.1088/1751-8113/43/7/075001

We develop a supersymmetric virial expansion for two point correlation functions of almost diagonal Gaussian Random Matrix Ensembles (ADRMT) of the orthogonal symmetry. These ensembles have multiple applications in physics and can be used to study universal properties of time-reversal invariant disordered systems which are either insulators or close to the Anderson localization transition. We derive a two-level contribution to the correlation functions of the generic ADRMT and apply these results to the critical (multifractal) power law banded ADRMT. Analytical results are compared with numerical ones.

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