Metal-insulator transition in three dimensional Anderson model: scaling of higher Lyapunov exponents
نویسنده
چکیده
Numerical studies of the Anderson transition are based on finite-size scaling analysis of the smallest positive Lyapunov exponent. We prove numerically that the same scaling holds also for higher Lyapunov exponents. This scaling supports the hypothesis of the one-parameter scaling of the conductance distribution. From collected numerical data for quasi one dimensional systems up to system size 242 ×∞ we found the critical disorder 16.50 ≤ Wc ≤ 16.53 and the critical exponent 1.50 ≤ ν ≤ 1.54. Finite-size effects and the role of irrelevant scaling parameters are discussed. PACS numbers: 71.30.+h, 71.23.-k, 72.15.Rn
منابع مشابه
Metal-insulator transition in three dimensional Anderson model: universal scaling of higher Lyapunov exponents
Numerical studies of the Anderson transition are based on the finite-size scaling analysis of the smallest positive Lyapunov exponent. We prove numerically that the same scaling holds also for higher Lyapunov exponents. From collected numerical data (up to the system size 24 × ∞) we found the critical disorder 16.50 ≤ Wc ≤ 16.53 and critical exponent 1.50 ≤ ν ≤ 1.54. Proof of the common scaling...
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