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Elastic theory of quantum Hall smectics: Effects of disorder

2000/07/27 by Stefan Scheidl, Felix von Oppen · 7 citations
Physics and Astronomy · #Condensed matter physics #Isotropy #Length scale #Liquid crystal #Magnetic field #Magnetic properties of thin films #Physics #Quantum #Quantum Hall effect #Quantum and electron transport phenomena #Quantum mechanics #Renormalization group #Theoretical and Computational Physics #cond-mat.stat-mech #cond-mat.str-el

paper · pdf · doi:10.1209/epl/i2001-00408-4

published in Europhysics Letters (EPL) 55(2), 260-266 (Institute of Physics) · 4 pages latex with 1 EPS figure

arxiv created 2000/07/27 · openalex publication_date 2001/07/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

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.

Citations