Magnetoresistance of two-dimensional mesoscopic structures: A variational approach

David Brown, Y. Band, Y. Avishai

Research output: Contribution to journalArticlepeer-review

7 Scopus citations


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 languageEnglish
Pages (from-to)4855-4869
Number of pages15
JournalPhysical Review B - Condensed Matter and Materials Physics
Issue number8
StatePublished - 1 Jan 1996

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics


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