Elastic theory of quantum Hall smectics: Effects of disorder
Institut für Theoretische Physik, Universität zu
Köln Zülpicher Str. 77, D-50937 Köln, Germany
2 Institut für Theoretische Physik, Freie Universität Berlin Arnimallee 14, D-14195 Berlin, Germany
Accepted: 3 May 2001
We study the effect of disorder on quantum Hall smectics within the framework of an elastic theory. Based on a renormalization group calculation, we derive detailed results for the degrees of translational and orientational order of the stripe pattern at zero temperature and carefully map out the disorder and length scale regimes in which the system effectively exhibits smectic, nematic, or isotropic behavior. We show that disorder always leads to a finite density of free dislocations and estimate the scale on which they begin to appear.
PACS: 73.43.-f – Quantum Hall effects / 73.43.Lp – Collective excitations / 46.65.+g – Random phenomena and media
© EDP Sciences, 2001