QUANTUM HALL-EFFECT IN QUASI-ONE-DIMENSIONAL CONDUCTORS - THE ROLES OF MOVING FISDW, FINITE-TEMPERATURE, AND EDGE STATES

This paper reviews recent developments in the theory of the quantum Ha ll effect (QHE) in the magnetic-field-induced spin-density-wave (FISDW ) state of the quasi-one-dimensional organic conductors (TMTSF)(2)X. T he 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 temperatur e dependence of the Hall conductivity is found to be the same as the t emperature dependence of the Frohlich current. It is shown that, when the FISDW is free to move, it produces an additional contribution to t he Hall conductivity that nullifies the total Hall effect. The paper i s written on mathematically simple level, emphasizes physical meaning over sophisticated mathematical technique, and uses inductive, rather than deductive, reasoning.