Quantum Hall effect in quasi-one-dimensional conductors

Victor M. Yakovenko
Phys. Rev. B 43, 11353 – Published 1 May 1991
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Abstract

The integer topological invariant called the Chern number is calculated for a quasi-one-dimensional conductor in the magnetic-field-induced spin-density-wave state. Due to the nonzero value of the Chern number the Hall conductivity per layer has the quantized value σxy=2Le2/h and in the effective action of the system there is a so-called Hopf term, which describes topologically nontrivial configurations of the spin-density-wave polarization vector. The dependence of the integer number L on magnetic field H is calculated in the parquette approximation. The theory is applied to the Bechgaard-salt family of organic conductors (TMTSF)2X, where TMTSF is tetramethyltetraselenafulvalene.

  • Received 22 August 1990

DOI:https://doi.org/10.1103/PhysRevB.43.11353

©1991 American Physical Society

Authors & Affiliations

Victor M. Yakovenko

  • European Branch of L. D. Landau Institute for Theoretical Physics at Institute for Scientific Interchange Foundation, Villa Gualino, Viale Settimio Severo 65, I-10133 Torino, Italy an
  • L. D. Landau Institute for Theoretical Physics, Academy of Sciences of U.S.S.R., Kosygin St. 2, 117940 Moscow, U.S.S.R.

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Issue

Vol. 43, Iss. 13 — 1 May 1991

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