Regensburg 2013 – wissenschaftliches Programm

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HL: Fachverband Halbleiterphysik

HL 28: Poster Session: Graphen; Transport properties; Transport in high magnetic fields / Quantum Hall effect; Metal-semiconductor hybrid systems

HL 28.24: Poster

Montag, 11. März 2013, 16:00–20:00, Poster A

Wigner solid phases near fractional and integer Landau level filling — •Guenther Meissner and Uwe Schmitt — Department of Physics, Saarland University, P.B.O. 151150, D-66041 Saarbruecken, Germany

Electrons in a high magnetic field are quasi two-dimensional (2D) due to the perpendicular cyclotron motion. If the cyclotron radius becomes less than half of the mean distance of the electrons, Wigner solid formation may minimize their Coulomb repulsion. Since the Cartesian components of the guiding center positions of the cyclotron motion turn out to be non-commuting (because of the magnetic vector potential), their density fluctuations are non-commuting, too. Correlation functions of these two quantities have thus been used for studying quantitatively the nature of Coulomb-interacting 2D electrons at high magnetic fields [1]. Here, it will be shown how recent observations of Wigner solid pinning modes [2] near the fractional filling factor 1/3 and the integer filling factor 1 of the Landau levels exhibiting the fractional respectively integer quantum Hall effect could be explained in our many-body approach via Chern-Simons magnetic fields. [1] G. Meissner, Physica B 184,66 (1993).[2] H. Zhu, Y.P. Jiang, L.W. Engel, D.C. Tsui, L.N. Pfeiffer, and K.W. West, Phys Rev. 105, 12608 (2010) and references therein.