Summary
The universal statistics of energy levels that emerge in disordered electronic systems near the Anderson-transition point is studied. It is shown that the two-level correlation function (TLCF) has a power law tail that is characterized by a non-trivial exponent γ < 1. The scaling relationship between γ and the correlation length exponentv is derived. A statistical hypothesis involving two kinds of energy levels is proposed to explain the sum rule violation for the critical TLCF.
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Kravtsov, V.E. Energy level statistics near the Anderson transition. Nuov Cim B 110, 531–543 (1995). https://doi.org/10.1007/BF02741463
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DOI: https://doi.org/10.1007/BF02741463