QUANTUM TRANSMITTING BOUNDARY METHOD IN A MAGNETIC-FIELD

A numerical algorithm for the solution of the two-dimensional effectiv e-mass Schrodinger equation for current-carrying states, the quantum t ransmitting boundary method, is extended to magnetotransport problems where a magnetic field is applied. Boundary conditions appropriate for such states are developed and a solution algorithm based on the finit e-element method is constructed. The algorithm is valid for general de vice shapes, general potential profiles, and multiple leads of general orientations. The technique is applied to a quantum channel with a si ngle scatterer, an antidot, in the channel. Magnetic quasibound states (MQBS) are formed around the scatterer and MQBS-induced resonant refl ection is observed.