Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
2000-05-23
Phys. Rev. B 63, R020201 (2001).
Physics
Condensed Matter
Disordered Systems and Neural Networks
5 pages, 3 embedded EPS figures
Scientific paper
10.1103/PhysRevB.63.020201
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.
Allen Philip B.
Nikolic Branislav K.
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