Overview
- Gives formulas for computational quantum transport in multiterminal and multiply connected structures
- Explains magnetoconductance switching in the deep quantum regime
- Discusses directional transport in nanostructures
Part of the book series: Lecture Notes in Physics (LNP, volume 927)
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Table of contents (9 chapters)
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Front Matter
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Back Matter
Keywords
About this book
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.
Authors and Affiliations
About the authors
Prof. Dr. Peter Schmelcher studied physics at the University of Heidelberg and did his PhD in 1990 at the Institute for Physical Chemistry. He did his Habilitation at the University of Heidelberg after a postdoctoral research period at the University of California Santa Barbara. Since 2010 he is full professor for Theoretical Physics at the University of Hamburg and is the head of the research group ‘Fundamental Processes in Quantum Physics’ at the Centre for Optical Quantum Technologies.
Bibliographic Information
Book Title: Control of Magnetotransport in Quantum Billiards
Book Subtitle: Theory, Computation and Applications
Authors: Christian V. Morfonios, Peter Schmelcher
Series Title: Lecture Notes in Physics
DOI: https://doi.org/10.1007/978-3-319-39833-4
Publisher: Springer Cham
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: Springer International Publishing Switzerland 2017
Softcover ISBN: 978-3-319-39831-0Published: 17 November 2016
eBook ISBN: 978-3-319-39833-4Published: 16 November 2016
Series ISSN: 0075-8450
Series E-ISSN: 1616-6361
Edition Number: 1
Number of Pages: X, 252
Number of Illustrations: 1 b/w illustrations, 48 illustrations in colour
Topics: Semiconductors, Optical and Electronic Materials, Nanotechnology and Microengineering, Magnetism, Magnetic Materials, Nanoscale Science and Technology