Critical level statistics at the Anderson transition in four-dimensional disordered systems

I. Kh. Zharekeshev; B. Kramer

doi:10.1002/(sici)1521-3889(199811)7:5/6<442::aid-andp442>3.0.co;2-d

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arXiv · cond-mat/9810286

Critical level statistics at the Anderson transition in four-dimensional disordered systems

I. Kh. Zharekeshev·B. Kramer

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Abstract

The level spacing distribution is numerically calculated at the disorder-induced metal--insulator transition for dimensionality d=4 by applying the Lanczos diagonalisation. The critical level statistics are shown to deviate stronger from the result of the random matrix theory compared to those of d=3 and to become closer to the Poisson limit of uncorrelated spectra. Using the finite size scaling analysis for the probability distribution Q_n(E) of having n levels in a given energy interval E we find the critical disorder W_c = 34.5 \pm 0.5, the correlation length exponent ν= 1.1 \pm 0.2 and the critical spectral compressibility k_c \approx 0.5.

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I. Kh. Zharekeshev, B. Kramer. 1998-10-22. Critical level statistics at the Anderson transition in four-dimensional disordered systems. https://doi.org/10.1002/(sici)1521-3889(199811)7%3A5%2F6%3C442%3A%3Aaid-andp442%3E3.0.co%3B2-d

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