Regensburg 2010 – wissenschaftliches Programm

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HL: Fachverband Halbleiterphysik

HL 33: Poster I: Transport, including Magnetic-Field Effects

HL 33.10: Poster

Dienstag, 23. März 2010, 18:30–20:30, Poster D1

Collective Excitations of Interacting Two-Dimensional Electrons in High Magnetic Fields — •Guenther Meissner and Uwe Schmitt — Theoretische Physik, Universitaet des Saarlandes, Postfach 151150, D-66041 Saarbruecken

A hierarchy of fractional quantum Hall states at odd-denominator rational filling factors of the lowest Landau level is associated with a correspoding hierarchy of liquid phases. At sufficiently high magnetic fields such liquid phases are terminated by an insulating phase which could be identified as being a quantum solid phase related to the Wigner crystal. Therefore, we have explored, in as far, as a many-body approach for interacting two-dimensional electrons in high magnetic fields [1] is suitable for investigating collective excitations of these states. Composites of 1, 2, and 3 electron charges (e), with 3, 5, and 7 magnetic flux quanta (ch/e), respectively, are considered in view of recent experimental invastigations of magneto-rotons [2]. The anyonic statistics of the resulting fractionally charged quasiparticles of charge e/3, e/5, and e/7 is of importance for studying topological order and might find application for building a topological quantum computer.

[1] G. Meissner, Physica B 184, 66 (1993). [2] I.V. Kukushkin, J.H. Smet, V.W. Scarola, V. Umansky, and K. von Klitzing, Science, 324, 1044 (2009).