Fluctuations of the Energy Levels Number at the Mobility Edge

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 $s$.

REVTEX, 4 pages, AM 94-07

References in corpus (2)

• Universal Spectral Correlations at the Mobility Edge
• SPECTRAL CORRELATIONS IN DISORDERED ELECTRONIC SYSTEMS: CROSSOVER FROM METAL TO INSULATOR REGIME

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