Temperature evolution of the quantum Hall effect in the FISDW state: Theory vs Experiment

We discuss the temperature dependence of the Hall conductivity \(\sigma_{xy}\) in the magnetic-field-induced spin-density-wave (FISDW) state of the quasi-one-dimensional Bechgaard salts (TMTSF)_2X. Electronic thermal excitations across the FISDW energy gap progressively destroy the quantum Hall effe...

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Bibliographic Details
Published in:arXiv.org 1999-06
Main Authors: Yakovenko, Victor M, Hsi-Sheng Goan, Eom, Jonghwa, Kang, Woowon
Format: Article
Language:English
Subjects:
BCS theory
Condensates
Electromagnetism
Electron density
Energy gap
Fluids
Mathematical analysis
Quantum Hall effect
Spin density waves
Superconductivity
Superfluidity
Temperature
Temperature dependence
Tensors
Transition temperature
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Summary:We discuss the temperature dependence of the Hall conductivity \(\sigma_{xy}\) in the magnetic-field-induced spin-density-wave (FISDW) state of the quasi-one-dimensional Bechgaard salts (TMTSF)_2X. Electronic thermal excitations across the FISDW energy gap progressively destroy the quantum Hall effect, so \(\sigma_{xy}(T)\) interpolates between the quantized value at zero temperature and zero value at the transition temperature T_c, where FISDW disappears. This temperature dependence is similar to that of the superfluid density in the BCS theory of superconductivity. More precisely, it is the same as the temperature dependence of the Fr\"ohlich condensate density of a regular CDW/SDW. This suggests a two-fluid picture of the quantum Hall effect, where the Hall conductivity of the condensate is quantized, but the condensate fraction of the total electron density decreases with increasing temperature. The theory appears to agree with the experimental results obtained by measuring all three components of the resistivity tensor simultaneously on a (TMTSF)_2PF_6 sample and then reconstructing the conductivity tensor.
ISSN:2331-8422
DOI:10.48550/arxiv.9906276