2006/07/04 by Chih‐Lung Chou, Chou, Chih-Lung
Engineering · Physics and Astronomy · #Crystallography and Radiation Phenomena #FOS: Physical sciences #Gyrotron and Vacuum Electronics Research #Pulsed Power Technology Applications #Strongly Correlated Electrons (cond-mat.str-el)
paper · pdf · doi:10.48550/arxiv.cond-mat/0607088
openalex publication_date 2006/07/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We show that electron localization is generic in a linear chain of identical simple quantum wire loops with equal arm lengths in the presence of either a perpendicular magnetic field or the spin-orbit interaction, and has less to do with the shapes of the loops. We calculate the transfer matrices for a general simple loop scatterer in the presence of these effects. Based on the knowledge of the transfer matrices, we thus provide a criterion for the occurrence of the localization and present a simple formalism to integrate the transmission probability over the injection wave vector of electron.