Stationary Scattering in Planar Confining Geometries

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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：59-101
• 全文大小：688 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 the Landauer-Büttiker formalism developed previously, the multiterminal transmission function of a mesoscopic device constitutes the core of the description of coherent electron transport. In this chapter it will be seen how the asymptotic scattering matrix of the system as well as spatially resolved quantities of interest such as the full scattering wave function can be formally determined and practically calculated from the system Hamiltonian. This is achieved within the Green function formalism in terms of an effective, energy-dependent and non-Hermitian Hamiltonian describing the scattering region connected to the peripheral leads. The theoretical framework is reviewed from the particular viewpoint of (planar) confinement with generic, geometrically defined asymptotic scattering channels, highlighting the involved concepts and the main observable interference effects in transmission, Fano resonances and Aharonov-Bohm oscillations.