Resistance of a 1D random chain: Hamiltonian version of the transfer matrix approach

We study some mesoscopic properties of electron transport by employing one-dimensional chains and Anderson tight-binding model. Principal attention is paid to the resistance of finite-length chains with disordered white-noise potential. We develop a new version of the transfer matrix approach based...

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Bibliographic Details
Published in:Physics letters. A 2004-01, Vol.320 (4), p.276-285
Main Authors: Dossetti-Romero, V., Izrailev, F.M., Krokhin, A.A.
Format: Article
Language:English
Subjects:
Anderson model
Mesoscopic fluctuations
Resistance
Single-parameter scaling
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Summary:We study some mesoscopic properties of electron transport by employing one-dimensional chains and Anderson tight-binding model. Principal attention is paid to the resistance of finite-length chains with disordered white-noise potential. We develop a new version of the transfer matrix approach based on the equivalency of a discrete Schrödinger equation and a two-dimensional Hamiltonian map describing a parametric kicked oscillator. In the two limiting cases of ballistic and localized regime we demonstrate how analytical results for the mean resistance and its second moment can be derived directly from the averaging over classical trajectories of the Hamiltonian map. We also discuss the implication of the single parameter scaling hypothesis to the resistance.
ISSN:0375-9601
1873-2429
DOI:10.1016/j.physleta.2003.11.033