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HL: Halbleiterphysik

HL 26: Transport im hohen Magnetfeld/Quanten-Hall-Effekt

HL 26.5: Vortrag

Dienstag, 25. März 2003, 16:15–16:30, BEY/154

Strongly Correlated Fractional Quantum Hall Line Junctions — •Ulrich Zülicke¹ and Efrat Shimshoni² — ¹Institut für Theoretische Festkörperphysik, Universität Karlsruhe, 76128 Karlsruhe — ²Department of Mathematics–Physics, University of Haifa at Oranim, Tivon 36006, Israel

We have studied a clean finite–length line junction between interacting counterpropagating single–branch fractional–quantum–Hall edge channels. Exact solutions for low–lying excitations and transport properties are obtained when the two edges belong to quantum–Hall systems with different filling factors and interact via the long–range Coulomb interaction. Such a situation could be realized, e.g., in samples with two mutually perpendicular 2D electron systems [1] and a magnetic field properly adjusted in magnitude and direction. Coupling to external edge–channel leads is incorporated via constraints on uniform charge densities in the junction. Our exact calculations are possibile because the strongly correlated electron system realized at the junction can be mapped, via bosonization and refermionization methods, onto models of noninteracting fictitious fermions. We find that conductances and power–laws in the current–voltage characteristics for tunneling are strongly affected by inter–edge correlations.

[1] M. Huber et al., Physica E 12, 125 (2001).