We have studied the distribution of equilibrium edge current density in 2D
system in a strong (quantizing) magnetic field. The case of half plane in
normal magnetic field has been considered. The transition from classical strong
magnetic field to ultraquantum limit has been investigated. We have shown that
the edge current density oscillates and decays with distance from the edge. The
oscillations have been attributed to the Fermi wavelength of electrons. The
additional component of the current smoothly depending on the distance but
sensitive to the occupation of Landau levels has been found. The temperature
suppression of oscillations has been studied.Comment: 6 pages, 3 figures. Proceedings of 10th International Symposium
"Nanostructures: Physics and Technology", St Petersburg, Russia, June
23-28(2003). The extended version, including the case of circular geometry
will be published in "JETP