We present a scattering--matrix approach to electron transport through a mesoscopic ring pierced by a magnetic field, containing a magnetic impurity plus an arbitrary number of defects. Our approach entails a suitable extension of the star-product composition rule for the scattering matrix in quasi-one-dimensional systems. As an application of the method, we analyze the Aharonov-Bohm oscillations of the transmission coefficients as the strength or the number of the defects is varied. The method can be straightforwardly generalized to periodic arrays of Aharonov-Bohm rings.
Spin-polarized transport in Aharonov-Bohm rings with impurities: A scattering-matrix approach
CATTAPAN, GIORGIO;
2010
Abstract
We present a scattering--matrix approach to electron transport through a mesoscopic ring pierced by a magnetic field, containing a magnetic impurity plus an arbitrary number of defects. Our approach entails a suitable extension of the star-product composition rule for the scattering matrix in quasi-one-dimensional systems. As an application of the method, we analyze the Aharonov-Bohm oscillations of the transmission coefficients as the strength or the number of the defects is varied. The method can be straightforwardly generalized to periodic arrays of Aharonov-Bohm rings.File in questo prodotto:
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