Energy level statistics of a critical random matrix ensemble
Abstract
We study energy level statistics of a critical random matrix ensemble of power-law banded complex Hermitian matrices. We compute the level compressibility via the level-number variance and compare it with the analytical formula for the exactly solvable model of Moshe, Neuberger and Shapiro.
- Publication:
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Journal of Physics A Mathematical General
- Pub Date:
- March 2003
- DOI:
- 10.1088/0305-4470/36/12/344
- arXiv:
- arXiv:cond-mat/0302569
- Bibcode:
- 2003JPhA...36.3639N
- Keywords:
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- Condensed Matter - Mesoscale and Nanoscale Physics;
- Condensed Matter - Disordered Systems and Neural Networks;
- Condensed Matter - Statistical Mechanics
- E-Print:
- 8 pages, 3 figures