Energy level statistics of a critical random matrix ensemble

Details Energy level statistics of a critical random matrix ensemble Energy level statistics of a critical random matrix ensemble

2003-02-27

arxiv.org/abs/cond-mat/0302569v1

J.Phys.A: Math.Gen. v.36, 3639 (2003)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

8 pages, 3 figures

Scientific paper

10.1088/0305-4470/36/12/344

We study level statistics of a critical random matrix ensemble of a power-law
banded complex Hermitean matrices. We compute numerically 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.

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