Abstract
The boundary element method (BEM) is so extended as to treat two-dimensional(2D) electron systems in the presence of pointlike islands of magnetic moment. Inthe present paper, the pointlike magnetic scatterer is modeled by a cylindricalbarrier. The radius of the cylindrical barrier is assumed to be so small, keeping thevolume definite, that the pointlike magnetic scatterer is approximated by a Diracδ function. Then, we make an approximation on the BEM formulation, wherefore we derive anovel numerical method for electron transport in the presence of pointlike magneticscatterers. In a numerical implementation of the method extended here, the numericalerrors of probability conservation are less than 1% for any cases and the computationalcosts, that is, the required memory amount and CPU time, are much reduced. Asexamples, the proposed method is applied to transport problems through a quantum wirewith four pointlike magnetic scatterers. It is clearly shown that magnetic scatterers, evenpointlike magnetic moments, lead to spin flip-flop, localization and resonance.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
