Fizika Nizkikh Temperatur: Volume 27, Number 9-10 (September 2001), p. 1060-1068    ( to contents , go back )

Quantum Hall effect in nonuniform 2D electron systems

V. B. Shikin

Institute of Solid State Physics of Russian Academy of Sciences, Chernogolovka, Moscow district, 142432, Russia
pos Анотація:

Received February 26, 2001


The quantum Hall effect (QHE) by its nature is inherent in nonuniform 2D electron systems. At the same time the typical low-dimensional conducting systems with metal terminals are regularly nonuniform. Nevertheless, they exhibit a distinct QHE. Such a paradox is resolved in an unconventional way. The regular nonuniform 2D systems allow for the existence of integral (noncompressible) strips responsible for the 2D system conductivity. To describe this variation of QHE, a special formalism is required which explicitly includes the properties of noncompressible strips. The paper is aimed at considering the reasons of regular nonuniformily of the 2D electron density in conventional; low-dimensional samples and at determining the main QHE characteristics in terms related to individual noncompressible strips.

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