Article
Article name Calculation of Local Current and Field Division in the Stratified Medium under Quantum Hall Effect Conditions
Authors Malakeeva M.Y. Assistant teacher of the Depart-ment of Theory and Methods of Physics Training, seilor25@mail.ru
Arkhincheev V.Y. Doctor of Physics and Mathematics, Chief researcher of the Department of Physical Problems, varkhin@mail.ru
Bibliographic description
Section Scientific Research
UDK УДК 537.7
DOI
Article type
Annotation The current percolation has been considered in the medium with boundaries under Quantum Hall Effect conditions. It has been shown that in that case the effective Hall conductivity possessed a non-zero value due to percolation of the Hall current through the finite number of singular points (in our model these are corners at the phase joints). Within the conformal transformation method, local distributions of current and field were found in layered media, in which regions are shifted in a staggered order.
Key words Quantum Hall Effect (QHE), effective conductivity, conformal mapping, Cauchy-Riemann conditions, layered media.
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Full articleCalculation of Local Current and Field Division in the Stratified Medium under Quantum Hall Effect Conditions