Broken time‐reversal symmetry scattering at the Anderson transition |
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Authors: | A Alcazar A Méndez I Varga |
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Institution: | 1. Phone: +52 222 2295610, Fax: +52 222 2295611;2. Instituto de Física, Universidad Autónoma de Puebla, Apartado Postal J‐48, Puebla 72570, Mexico;3. Elméleti Fizika Tanszék, Fizikai Intézet, Budapesti Müszaki és Gazdaságtudományi Egyetem, 1521 Budapest, Hungary;4. Fachbereich Physik und Wissenschaftliches Zentrum für Materialwissenschaften, Philipps Universit?t Marburg, 35032 Marburg, Germany |
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Abstract: | We study numerically the statistical properties of some scattering quantities for the Power‐law Banded Random Matrix model at criticality in the absence of time‐reversal symmetry, with a small number of single‐channel leads attached to it. We focus on the average scattering matrix elements, the conductance probability distribution, and the shot noise power as a function of the effective bandwidth b of the model. We find a smooth transition from insulating‐ to metallic‐like behavior in the scattering properties of the model by increasing b. We contrast our results with existing random matrix theory predictions. |
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Keywords: | Metal‐insulator transition Anderson model electronic transport random matrix theory |
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