2003/10/31 by Meirong Li, Ming-Rui Li, H. A. Fertig +3
Physics and Astronomy · #Mechanical and Optical Resonators #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #cond-mat.mes-hall
paper · pdf · doi:10.1103/physrevlett.92.186804
published as Phys. Rev. Lett. 92, 186804 (2004) · 4 pages, 1 ps figure
openalex publication_date 2004/05/07 · arxiv created 2004/09/10 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 \ensuremathΔ\ensuremathνc. For \ensuremathΔ\ensuremathν<\ensuremathΔ\ensuremathνc, the pinned state is realized in a replica symmetry breaking (RSB) solution, and the frequency-dependent conductivities both perpendicular and parallel to the stripes show resonant peaks. These peaks shift to zero frequency as \ensuremathΔ\ensuremathν\ensuremath→\ensuremathΔ\ensuremathνc. For \ensuremathΔ\ensuremathν\ensuremath≥\ensuremathΔ\ensuremathνc, we find a partial RSB solution in which there is free sliding only along the stripe direction. The transition is analogous to the Kosterlitz-Thouless phase transition.