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Critical Conductance of a Mesoscopic System: Interplay of the Spectral and Eigenfunction Correlations at the Metal-Insulator Transition

D. G. Polyakov
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Abstract

We study the system-size dependence of the averaged critical conductance $g(L)$ at the Anderson transition. We have: (i) related the correction $δg(L)=g(\infty)-g(L)\propto L^{-y}$ to the spectral correlations; (ii) expressed $δg(L)$ in terms of the quantum return probability; (iii) argued that $y=η$ -- the critical exponent of eigenfunction correlations. Experimental implications are discussed.

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D. G. Polyakov. 1998-10-20. Critical Conductance of a Mesoscopic System: Interplay of the Spectral and Eigenfunction Correlations at the Metal-Insulator Transition. https://doi.org/10.1103/physrevlett.81.4696

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