Even-odd transition in the Shubnikov–de Haas oscillations in a two-dimensional electron gas subjected to periodic magnetic and electric modulations

Jirong Shi, F. M. Peeters, K. W. Edmonds, and B. L. Gallagher
Phys. Rev. B 66, 035328 – Published 24 July 2002
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Abstract

We investigate low-temperature magnetotransport of high-mobility two-dimensional electron gases subjected to one-dimensional periodic magnetic and electric modulations. Our previous quantum perturbation theory is extended to lower temperatures and the energy broadening due to impurity scattering is incorporated. Numerical calculations are made for situations where several Landau bands overlap. We find that the Shubnikov–de Haas (SdH) oscillations are dominated by collisional resistance. The amplitudes of the SdH oscillations are strongly modulated and the positions of the SdH minima switch between even and odd Landau-level filling factors, in the resistance both parallel and perpendicular to the one-dimensional modulation. This is a consequence of the internal structure (i.e., smeared out van Hove singularities) of overlapping Landau bands. Our theoretical results are in good agreement with recent experiments.

  • Received 1 October 2001

DOI:https://doi.org/10.1103/PhysRevB.66.035328

©2002 American Physical Society

Authors & Affiliations

Jirong Shi and F. M. Peeters*

  • Departement Natuurkunde, Universiteit Antwerpen (UIA), Universiteitsplein 1, B-2610 Antwerpen, Belgium

K. W. Edmonds and B. L. Gallagher

  • School of Physics and Astronomy, University of Nottingham, Nottingham NG7 2RD, United Kingdom

  • *Electronic address: peeters@uia.ua.ac.be

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Vol. 66, Iss. 3 — 15 July 2002

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