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Quantum Hall effect in relaxed (TMTSF)2ClO4

We present the analysis of quantum Hall effect in the transversally dimerized quasi-one-dimensional system, namely relaxed (TMTSF)2ClO4. The distinct feature of presented system is, according to the recent experiments, large dimerization gap in transverse direction due to anion ordering. The solution of one-electron problem is exact, obtained by treating quasi-one-dimensional band, transverse dimerization potential and magnetic orbital effects on equal footing. The hybridization of inter-band and intra-band correlations is followed through rigorous matrix susceptibility calculation within the framework of random phase approximation. Two types of orderings in the absence of magnetic field are possible: SDW0 (inter-band channel) and SDW± (intra-band channel). There is a strong first order transition between low field FISDW like SDW0 state into high field SDW± state induced by magnetic field that attains almost constant plateau of critical temperature vs. magnetic field. The analysis of the quantum Hall effect, obtained here by using the generalized Thouless-Kohomoto procedure adapted to the dimerized system, shows the odd-integered quantization of Hall conductance in the field induced cascade of SDW0 type, and non-quantized oscillations of Hall conductance with increasing magnitude in magnetic field.

quantum Hall effect; Bechgaard salts

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