Electron in a Magnetic Field and Two-Dimensional Point Potentials

S. Gredeskul, Y. Avishai, M. Ya Azbel

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

This paper presents a brief review of the electron properties in two-dimensional systems which contain zero-range scatterers and which are subjected to a magnetic field. The electron spectrum is described for a periodic arrangement of point scatterers and rational magnetic flux per unit cell. Delocalized states on the Landau levels are constructed for the case of positional disorder. The electron localization in a one-dimensional disordered set of scatterers is studied. Application to the study of electron transmission through quantum dots and ballistic channels is reviewed.

Original languageEnglish
Pages (from-to)21-35
Number of pages15
JournalFizika Nizkikh Temperatur
Volume23
Issue number1
StatePublished - 1 Dec 1997

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