Abstract
We present a variational formulation for the scattering of charged particles in a two-dimensional multiport structure and in the presence of a magnetic field. Our approach can be applied to systems with any local potential function and with very mild restrictions on the magnetic field; in particular, it is not restricted to homogeneous fields. We apply our approach to the calculation of the Hall, bend, and two-port resistances over large ranges of magnetic fields and Fermi energies for a system of crossed quantum wires confined by hard and soft walls, and in which a variety of impurity potentials have been placed. We find strong resonant features in these resistances for the case where a single repulsive impurity is present in the center of the intersection, whereas the resistances averaged over a random ensemble of potentials with nine impurities show a relatively weak effect. We also present results for scattering through a highly localized magnetic field in the intersection region.
Original language | English |
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Pages (from-to) | 4855-4869 |
Number of pages | 15 |
Journal | Physical Review B - Condensed Matter and Materials Physics |
Volume | 53 |
Issue number | 8 |
DOIs | |
State | Published - 1 Jan 1996 |
ASJC Scopus subject areas
- Electronic, Optical and Magnetic Materials
- Condensed Matter Physics