Transport gap in a ν=13 quantum Hall system: A probe for skyrmions

Annelene F. Dethlefsen, Rolf J. Haug, Karel Výborný, Ondřej Čertík, and Arkadiusz Wójs
Phys. Rev. B 74, 195324 – Published 14 November 2006

Abstract

Transport measurements of the activation gap at fractional filling factor 13 are compared to results of exact diagonalization, allowing identification of a small anti-skyrmion as the lowest excitation in the low-field regime. In agreement with theory, a crossover to spinless excitations at higher electron densities is observed. Two samples of different quality are investigated. A detailed description of the theoretical calculation of activation gaps is presented and features which should be taken into account are summarized: finite thickness, Landau level mixing, and comparison between different sizes of the model system and—whenever possible—also between different geometries (torus and sphere). Within the chosen model of disorder (entailing a single fit parameter) we obtain a good agreement between calculated energies and experimental results.

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  • Received 17 March 2006

DOI:https://doi.org/10.1103/PhysRevB.74.195324

©2006 American Physical Society

Authors & Affiliations

Annelene F. Dethlefsen* and Rolf J. Haug

  • Institut für Festkörperphysik, Universität Hannover, Appelstraße 2, D-30167 Hannover, Germany

Karel Výborný and Ondřej Čertík

  • Fyzikální ústav, Akademie věd České republiky, Cukrovarnická 10, CZ-16253 Praha 6, Czech Republic and 1. Institut für theoretische Physik, Universität Hamburg, Jungiusstrasse 9, D-22305 Hamburg, Germany

Arkadiusz Wójs

  • Institute of Physics, Wrocław University of Technology, Wybrzeże Wyspiańskiego 27, 50-370 Wroclaw, Poland

  • *Centre for Atom Optics and Ultrafast Spectroscopy, Faculty of Engineering and Industrial Science, Swinburne University of Technology, Mail H38, PO Box 218, Hawthorn, VIC 3122, Australia

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Issue

Vol. 74, Iss. 19 — 15 November 2006

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