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Broken time‐reversal symmetry scattering at the Anderson transition
Author(s) -
Alcazar A.,
Méndez A.,
Varga I.
Publication year - 2009
Publication title -
annalen der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.009
H-Index - 68
eISSN - 1521-3889
pISSN - 0003-3804
DOI - 10.1002/andp.200910375
Subject(s) - cover (algebra) , physics , symmetry (geometry) , citation , computer science , transition (genetics) , theoretical physics , world wide web , mathematics , geometry , mechanical engineering , biochemistry , chemistry , engineering , gene
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.