Physics – Condensed Matter
Scientific paper
1996-07-18
Journal de Physique I (France) 6, 1917 (1996)
Physics
Condensed Matter
Minor typos have been corrected, and a reference to the published version has been added. 22 pages, LaTeX 2.09, 3 eps figures
Scientific paper
10.1051/jp1:1996197
This paper reviews recent developments in the theory of the quantum Hall effect (QHE) in the magnetic-field-induced spin-density-wave (FISDW) state of the quasi-one-dimensional organic conductors (TMTSF)$_2$X. The origin and the basic features of the FISDW are reviewed. The QHE in the pinned FISDW state is derived in several simple, transparent ways, including the edge states formulation of the problem. The temperature dependence of the Hall conductivity is found to be the same as the temperature dependence of the Fr\"ohlich current. It is shown that, when the FISDW is free to move, it produces an additional contribution to the Hall conductivity that nullifies the total Hall effect. The paper is written on mathematically simple level, emphasizes physical meaning over sophisticated mathematical technique, and uses inductive, rather than deductive, reasoning.
Goan* Hsi-Sheng
Yakovenko Victor M.
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