Quantum Hall Effect in Quasi-One-Dimensional Conductors: The Roles of Moving FISDW, Finite Temperature, and Edge States

Victor M. Yakovenko; Hsi-Sheng Goan

doi:doi:10.1051/jp1:1996197

Numéro		J. Phys. I France Volume 6, Numéro 12, December 1996


Page(s)		1917 - 1937
DOI		https://doi.org/10.1051/jp1:1996197

DOI: 10.1051/jp1:1996197
J. Phys. I France 6 (1996) 1917-1937

Quantum Hall Effect in Quasi-One-Dimensional Conductors: The Roles of Moving FISDW, Finite Temperature, and Edge States

Victor M. Yakovenko and Hsi-Sheng Goan

Department of Physics and Center for Superconductivity Research, University of Maryland, College Park, MD 20742-4111, USA

(Received 18 July 1996, received in final form 12 August 1996, accepted 13 August 1996)

Abstract
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) ₂X. 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 Fröhlich 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.