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Fluctuations of the Energy Levels Number at the Mobility Edge

Arkadii G. Aronov·Alexander D. Mirlin
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Abstract

We present a detailed analysis of the behavior of two--level correlation function $R(s)$ in the disordered sample. We show that in the vicinity of the Anderson transition as well as in $2d$, the variance of the number of levels in an energy band of a width $E$ has a linear behavior as a function of $E$. This is related with an ``anomalous'' contribution to the sum rule for $R(s)$, which comes from the ``ballistic'' region of $s$.

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Arkadii G. Aronov, Alexander D. Mirlin. 1994-10-31. Fluctuations of the Energy Levels Number at the Mobility Edge. https://doi.org/10.1103/physrevb.51.6131

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