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DISTRIBUTION OF EQUILIBRIUM EDGE CURRENTS

2003/07/25 by M. V. Entin, M. V. Éntin, L. I. Magarill +1
Physics and Astronomy · #Advanced Chemical Physics Studies #Computer science #Condensed matter physics #Distribution (mathematics) #Enhanced Data Rates for GSM Evolution #Materials science #Mathematical analysis #Physics #Quantum chaos and dynamical systems #Statistical physics #Telecommunications #Theoretical and Computational Physics #cond-mat.mes-hall

paper · pdf · doi:10.1142/s0219581x03001735

published as JETP vol. 97, Issue 1, pp. 138-143(2003) · 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"

arxiv created 2003/07/25 · openalex publication_date 2003/12/01 · arxiv updated 2015/06/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

The distribution of equilibrium edge current density in 2D system subjected to a strong (quantizing) magnetic field has been studied. The case of half plane in normal magnetic field has been considered. The transition from classical strong magnetic field to ultra-quantum 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.

Citations