Control of magnetotransport in quantum billiards : theory, computation and applications

• 作者： Morfonios, Christian V., author.
• 其他作者：
  • Schmelcher, Peter, author.
  • SpringerLink (Online service)
• 其他題名：
  • Lecture notes in physics ;
• 出版： Cham : Springer International Publishing :Imprint: Springer
• 叢書名： Lecture notes in physics,volume 927
• 主題： Electron transport. , Mesoscopic phenomena (Physics) , Physics. , Semiconductors. , Optical and Electronic Materials. , Nanotechnology and Microengineering. , Magnetism, Magnetic Materials. , Nanoscale Science and Technology.
• ISBN： 9783319398334 (electronic bk.) 、 9783319398310 (paper)
• FIND@SFXID: CGU
• 資料類型: 電子書
• 內容註: Introduction -- Electrons in mesoscopic low-dimensional systems -- Coherent electronic transport: Landauer-Buttiker formalism -- Stationary scattering in planar confining geometries -- Computational quantum transport in multiterminal and multiply connected structures -- Magnetoconductance switching by phase modulation in arrays of oval quantum billiards -- Current control in soft-wall electron billiards: energy-persistent scattering in the deep quantum regime -- Directional transport in multiterminal focusing quantum billiards -- Summary, conclusions, and perspectives.
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• 摘要註: In this book the coherent quantum transport of electrons through two-dimensional mesoscopic structures is explored in dependence of the interplay between the confining geometry and the impact of applied magnetic fields, aiming at conductance controllability. After a top-down, insightful presentation of the elements of mesoscopic devices and transport theory, a computational technique which treats multiterminal structures of arbitrary geometry and topology is developed. The method relies on the modular assembly of the electronic propagators of subsystems which are inter- or intra-connected providing large flexibility in system setups combined with high computational efficiency. Conductance control is first demonstrated for elongated quantum billiards and arrays thereof where a weak magnetic field tunes the current by phase modulation of interfering lead-coupled states geometrically separated from confined states. Soft-wall potentials are then employed for efficient and robust conductance switching by isolating energy persistent, collimated or magnetically deflected electron paths from Fano resonances. In a multiterminal configuration, the guiding and focusing property of curved boundary sections enables magnetically controlled directional transport with input electron waves flowing exclusively to selected outputs. Together with a comprehensive analysis of characteristic transport features and spatial distributions of scattering states, the results demonstrate the geometrically assisted design of magnetoconductance control elements in the linear response regime.
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