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Stability of the Smectic Quantum Hall State: A Quantitative Study

Hangmo Yi·H. A. Fertig·R. Cote
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Abstract

We present an effective elastic theory which {\em quantitatively} describes the stripe phase of the two-dimensional electron gas in high Landau levels ($N\geq2$). The dynamical matrix is obtained with remarkably high precision from the density-density correlation function in the time-dependent Hartree-Fock approximation. A renormalization group analysis shows that at T=0, as the partial filling factor $Δν\equivν-\lfloorν\rfloor$ moves away from 1/2, the anisotropic conducting state may undergo quantum phase transitions: stripes may get pinned along their conducting direction by disorder, or may lock into one another to form a two-dimensional crystal. The model predicts values of $Δν$ for each transition. The transitions should be reflected in the temperature dependence of the dissipative conductivity.

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Hangmo Yi, H. A. Fertig, R. Cote. 2000-03-08. Stability of the Smectic Quantum Hall State: A Quantitative Study. https://doi.org/10.1103/physrevlett.85.4156

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