Resistivity of a Metal between the Boltzmann Transport Regime and the Anderson Transition

Abstract

We study the transport properties of a finite three dimensional disordered conductor, for both weak and strong scattering on impurities, employing the real-space Green function technique and related Landauer-type formula. The dirty metal is described by a nearest neighbor tight-binding Hamiltonian with a single s-orbital per site and random on-site potential (Anderson model). We compute exactly the zero-temperature conductance of a finite size sample placed between two semi-infinite disorder-free leads. The resistivity is found from the coefficient of linear scaling of the disorder averaged resistance with sample length. This ``quantum'' resistivity is compared to the semiclassical Boltzmann expression computed in both Born approximation and multiple scattering approximation.

5 pages, 3 embedded EPS figures

References in corpus (3)

• Computational implementation of the Kubo formula for the static conductance: application to two-dimensional quantum dots
• Topology dependent quantities at the Anderson transition
• The mean free path for electron conduction in metallic fullerenes

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