Quantum Depinning Transition of Quantum Hall Stripes

Abstract

We examine the effect of disorder on the electromagnetic response of quantum Hall stripes using an effective elastic theory to describe their low-energy dynamics, and replicas and the Gaussian variational method to handle disorder effects. Within our model we demonstrate the existence of a depinning transition at a critical partial Landau level filling factor $\Delta {\nu }_c$. For $\Delta \nu <\Delta {\nu }_c$, the pinned state is realized in a replica symmetry breaking (RSB) solution, and the frequency-dependent conductivities in both perpendicular and parallel to the stripes show resonant peaks. These peaks shift to zero frequency as $\Delta \nu \to \Delta {\nu }_c$. For $\Delta \nu \ge \Delta {\nu }_c$, we find a {\em partial RSB (PRSB)} solution in which there is free sliding only along the stripe direction. The transition is analogous to the Kosterlitz-Thouless phase transition.

4 pages, 1 ps figure

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Cited by in corpus (6)

• Observation of pinning mode of stripe phases of 2D systems in high Landau levels
• Possible nematic to smectic phase transition in a two-dimensional electron gas at half-filling
• Pinning mode resonances of 2D electron stripe phases: Effect of in-plane magnetic field
• Replica study of pinned bubble crystals
• Dynamical Conductivity of Disordered Quantum Hall Stripes
• Dynamical matrix of two-dimensional electron crystals