Quantum Hall Effect in Inhomogeneous Media:
Effective Characteristics and Local Current Distribution

V. E. Arkhincheev

Buryat Science Center, Siberian Division, Russian Academy of Sciences, Ulan-Ude, 670047 Russia
e-mail: varkhin@bsc.buryatia.ru

Received March 10, 2000

Abstract—An analysis is made of the problem of current flow in heterophase inhomogeneous media in the
quantum Hall effect regime. Duality relations are derived and expressions are obtained for the effective conduc-
tivity of inhomogeneous media over the entire range of concentrations. Local current distributions (fields) are
determined in the quantum Hall effect regime. © 2000 MAIK “Nauka/Interperiodica”.

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