Two-dimensional electron gas in a magnetic field and point potentials

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

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1 Scopus citations


This paper presents a brief review of the electron properties in two-dimensional systems which contain zero-range scatterers 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)15-26
Number of pages12
JournalLow Temperature Physics
Issue number1
StatePublished - 1 Jan 1997


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