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Shape Analysis of the Level Spacing Distribution around the Metal Insulator Transition in the Three Dimensional Anderson Model | | Imre Varga
; Etienne Hofstetter
; Michael Schreiber
; János Pipek
; | | Date: |
13 Jul 1994 | | Subject: | cond-mat | | Abstract: | We present a new method for the numerical treatment of second order phase transitions using the level spacing distribution function $P(s)$. We show that the quantities introduced originally for the shape analysis of eigenvectors can be properly applied for the description of the eigenvalues as well. The position of the metal--insulator transition (MIT) of the three dimensional Anderson model and the critical exponent are evaluated. The shape analysis of $P(s)$ obtained numerically shows that near the MIT $P(s)$ is clearly different from both the Brody distribution and from Izrailev’s formula, and the best description is of the form $P(s)=c_1,sexp(-c_2,s^{1+eta})$, with $etaapprox 0.2$. This is in good agreement with recent analytical results. | | Source: | arXiv, cond-mat/9407058 | | Services: | Forum | Review | PDF | Favorites | |
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