Quantum Depinning Transition of Quantum Hall Stripes

Details Quantum Depinning Transition of Quantum Hall Stripes Quantum Depinning Transition of Quantum Hall Stripes

2003-10-21

arxiv.org/abs/cond-mat/0310506v3

Phys. Rev. Lett. 92, 186804 (2004)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, 1 ps figure

Scientific paper

10.1103/PhysRevLett.92.186804

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.

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