Vm. Yakovenko et Hs. Goan, QUANTUM HALL-EFFECT IN QUASI-ONE-DIMENSIONAL CONDUCTORS - THE ROLES OF MOVING FISDW, FINITE-TEMPERATURE, AND EDGE STATES, Journal de physique. I, 6(12), 1996, pp. 1917-1937
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.