Broken time-reversal symmetry scattering at the Anderson transition

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 cond...

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Bibliographic Details
Published inAnnalen der Physik Vol. 18; no. 12; pp. 896 - 900
Main Authors Alcazar, A., Méndez, A., Varga, I.
Format Journal Article
LanguageEnglish
Published Berlin WILEY-VCH Verlag 23.12.2009
WILEY‐VCH Verlag
Subjects
Anderson model
electronic transport
Metal-insulator transition
random matrix theory
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Summary: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.
Bibliography:istex:7252807FCCD71E9F11191A06B7FE7F6D4B30340A
ark:/67375/WNG-17KBWSWN-G
Hungarian Research Fund OTKA - No. 73381; No. 75529
Hungarian-Mexican Intergovernmental S & T Cooperation Programme - No. MX-16/2007 (NKTH); No. I0110/127/08 (CONACyT)
ArticleID:ANDP200910375
Phone: +52 222 2295610, Fax: +52 222 2295611
ISSN:0003-3804
1521-3889
DOI:10.1002/andp.200910375