Directional Magnetotransport Control in Multiterminal Focusing Quantum Billiards

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• 刊名：Lecture Notes in Physics
• 出版年：2017
• 出版时间：2017
• 年：2017
• 卷：927
• 期：1
• 页码：193-218
• 全文大小：1,203 KB
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• 作者单位：Christian V. Morfonios (18)
  Peter Schmelcher (18)
  
  18. Center for Optical Quantum Technologies, University of Hamburg, Hamburg, Germany
  
• 丛书名：Control of Magnetotransport in Quantum Billiards
• ISBN：978-3-319-39833-4
• 刊物类别：Physics and Astronomy
• 刊物主题：Physics
  Mathematical Methods in Physics
  Mathematical and Computational Physics
  Astronomy, Astrophysics and Cosmology
  Atoms, Molecules, Clusters and Plasmas
  Relativity and Cosmology
  Extraterrestrial Physics and Space Sciences
  Condensed Matter
  
• 出版者：Springer Berlin / Heidelberg
• ISSN：1616-6361
• 卷排序：927

文摘

In this chapter we explore the four-terminal transmission of a semi-elliptic open quantum billiard in dependence of its geometry and an applied magnetic field, and show that a controllable switching of currents between the four terminals can be obtained. Depending on the eccentricity of the semi-ellipse and the width and placement of the leads, high transmittivity at zero magnetic field is reached either 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 departures from this behavior demonstrate the inapplicability of solely classical considerations in the deep quantum regime. The geometrically determined transmission is altered by the phase-modulating and deflecting effect of the magnetic field, which switches the pairs of leads connected by high transmittivity. It is shown that the elliptic boundary is responsible for these very special transport properties. At higher field strengths edge states form and the multiterminal transmission coefficients are determined by the topology of the billiard. The combination of magnetotransport with geometrically optimized transmission behavior leads to an efficient control of the current through the multiterminal structure. In particular, the electron flow can be directed from any input terminal to any output terminal at low temperature via the applied magnetic field, and at low field strength a current cross-junction is realizable. Excerpts and figures from Morfonios et al. (Phys. Rev. B, 83(20):205316, 2011) reprinted with permission. Copyright (2011) by the American Physical Society.