Stability of the Smectic Quantum Hall State: A Quantitative Study

Details Stability of the Smectic Quantum Hall State: A Quantitative Study Stability of the Smectic Quantum Hall State: A Quantitative Study

2000-03-08

arxiv.org/abs/cond-mat/0003139v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, 3 EPS figures

Scientific paper

10.1103/PhysRevLett.85.4156

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 $\Delta\nu\equiv\nu-\lfloor\nu\rfloor$ 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 $\Delta\nu$ for each transition. The transitions should be reflected in the temperature dependence of the dissipative conductivity.

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