Effect of spin-orbit coupling on zero-conductance resonances in asymmetrically coupled one-dimensional rings
Mesoscale and Nanoscale Physics
2012-06-14 v2
Abstract
The influence of Rashba spin-orbit coupling on zero conductance resonances appearing in one dimensional ring asymmetrically coupled to two leads is investigated. For this purpose, the transmission function of the corresponding one-electron scattering problem is derived analytically and analyzed in the complex energy plane with focus on the zero-pole structure characteristic of transmission (anti)resonances. The lifting of real conductance zeros due to spin-orbit coupling in the asymmetric Aharonov-Casher (AC) ring is related to the breaking of spin reversal symmetry in analogy to the time-reversal symmetry breaking in the asymmetric Aharonov-Bohm (AB) ring.
Keywords
Cite
@article{arxiv.cond-mat/0411620,
title = {Effect of spin-orbit coupling on zero-conductance resonances in asymmetrically coupled one-dimensional rings},
author = {Urs Aeberhard and Katsunori Wakabayashi and Manfred Sigrist},
journal= {arXiv preprint arXiv:cond-mat/0411620},
year = {2012}
}
Comments
10 pages, 11 figures