Energy level statistics of a critical random matrix ensemble

Macleans L. Ndawana; V. E. Kravtsov

doi:10.1088/0305-4470/36/12/344

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Energy level statistics of a critical random matrix ensemble

Macleans L. Ndawana·V. E. Kravtsov

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Abstract

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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Macleans L. Ndawana, V. E. Kravtsov. 2003-02-27. Energy level statistics of a critical random matrix ensemble. https://doi.org/10.1088/0305-4470%2F36%2F12%2F344

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