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- W3103498480 abstract "We compute the number level variance Σ 2 and the level compressibility χ from high precision data for the Anderson model of localization and show that they can be used in order to estimate the critical properties at the metal-insulator transition by means of finite-size scaling. With N, W, and L denoting, respectively, linear system size, disorder strength, and the average number of levels in units of the mean level spacing, we find that both χ(N, W) and the integrated Σ 2 obey finite-size scaling. The high precision data was obtained for an anisotropic three-dimensional Anderson model with disorder given by a box distribution of width W/2. We compute the critical exponent as ν≈ 1.45±0.12 and the critical disorder as W c≈ 8.59±0.05 in agreement with previous transfer-matrix studies in the anisotropic model. Furthermore, we find χ≈ 0.28±0.06 at the metal-insulator transition in very close agreement with previous results." @default.
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- W3103498480 date "2002-06-01" @default.
- W3103498480 modified "2023-09-27" @default.
- W3103498480 title "Finite-size scaling of the level compressibility at the Anderson transition" @default.
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- W3103498480 doi "https://doi.org/10.1140/epjb/e2002-00171-4" @default.
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