INFLUENCE OF MAGNETIC-FIELD-INDUCED SPIN-DENSITY-WAVE MOTION AND FINITE-TEMPERATURE ON THE QUANTUM HALL-EFFECT IN QUASI-ONE-DIMENSIONAL CONDUCTORS - A QUANTUM-FIELD THEORY

We derive the effective action for a moving magnetic-field-induced spi n-density wave (FISDW) in quasi-one-dimensional conductors at zero and nonzero temperatures by taking the functional integral over the elect ron field. The effective action consists of the (two plus one)-dimensi onal [(2+1)D] Chern-Simons term and the (1+1)D chiral anomaly term, bo th written for a sum of the electromagnetic field and the chiral field associated with the FISDW phase. The calculated frequency dependence of Hall conductivity interpolates between the quantum Hall effect at l ow frequencies and zero Hall effect at high frequencies, where the cou nterflow of FISDW cancels the Hall current. The calculated temperature dependence of the Hall conductivity is interpreted within the two-flu id picture, by analogy with the BCS theory of superconductivity. [S016 3-1829(98)03140-3].