Dresden 2011 – scientific programme
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HL: Fachverband Halbleiterphysik
HL 85: Poster Session II
HL 85.34: Poster
Thursday, March 17, 2011, 18:00–21:00, P4
Output control by quantum focusing in multiterminal billiards — •Christian Morfonios1, Daniel Buchholz2, and Peter Schmelcher1 — 1Zentrum für Optische Quantentechnologien, Universität Hamburg, Germany — 2Theoretische Chemie, Physikalisch- Chemisches Institut, Universität Heidelberg, Germany
By exploring the four-terminal transmission of a half-elliptic open quantum billiard in dependence of its geometry and an applied magnetic field, the possibility to construct a controllable quantum cross-junction between its terminals is demonstrated. Depending on the eccentricity of the half-ellipse and the width and placement of the leads, high transmittivity at zero magnetic field is reached through states guided along the curved boundary or focused onto the straight boundary of the billiard. For small eccentricity, attachment of leads at the ellipse foci can yield optimized corresponding transmission, while depart from this condition demonstrates the inapplicability of purely classical considerations in the deep quantum regime. The geometrically achieved high transmittivity is altered by the phase-modulating and deflecting effect of the magnetic field, which switches the pairs of efficiently connected leads. At higher field strengths edge states form and the multiterminal transmission coefficients are determined by the topology of the system. The combination of magnetotransport with geometrically controlled transmission leads to an efficient control of pathways for a charged particle through the multiterminal structure, which is of advantage in designing transport through nanoelectronic devices.