Посилання:Electron in a magnetic field and two-dimensional point potentials / S. Gredeskul, Y. Avishai, M.Ya. Azbel // Физика низких температур. — 1997. — Т. 23, № 1. — С. 21-35. — Бібліогр.: 65 назв. — англ.
Підтримка:This work was supported, in part, by grant from Israel Science Foundation, by Raymond and Beverly Sackler Faculty of Exact Sciences, and by J. and R. Meyerhoff Chair for Solid State Physics and Thermodynamics.
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.