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Boundary Element Solution of Tight-binding Electrons in Magnetic Fields

Tsuyoshi Ueta
Organization: Chiba University
Department: Institute of Media and Information Technology
Journal / Anthology

Engineering Analysis with Boundary Elements
Year: 1997
Volume: 20
Issue: 2
Page range: 155-162

This paper presents te boundary element solution for the transport problem in the tight-binding electron systems in the presence of uniform magnetic fields. The Green function of a square tight-binding model in magnetic fields is expressed by means of continued fractions. For rational fields, the expression is reduced to more useful one. The Green function expressing the outgoing wave is numerically computed at arbitrary sites. In the boundary element scheme, the Kirchoff-Helmholtz theorem is invoked and modified slightly for tight-binding electrons in the presence of magnetic fields. The method is applied to the analysis of the behavior of an electron beam injected from a waveguide into a T-shaped junction in magnetic fields.

*Science > Physics > Electromagnetism