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.
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