Lecture Notes in Physics

Control of Magnetotransport in Quantum Billiards

Theory, Computation and Applications

Authors: Morfonios, Christian, Schmelcher, Peter

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  • 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
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About this book

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.

About the authors

Christian Morfonios studied physics at Athens University and received his Ph. D. at Hamburg University in the field of electronic transport in mesoscopic structures. Having developed an expertise in computational wave transport, his main current focus is the analysis and simulation of mechanisms underlying the control of electronic conductance in nanoscale circuits.

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.


Table of contents (9 chapters)

Table of contents (9 chapters)
  • Introduction

    Morfonios, Christian V. (et al.)

    Pages 1-14

  • Electrons in Low-Dimensional Mesoscopic Systems system

    Morfonios, Christian V. (et al.)

    Pages 15-35

  • Coherent Electronic Transport: Landauer-Büttiker Formalism

    Morfonios, Christian V. (et al.)

    Pages 37-58

  • Stationary Scattering in Planar Confining Geometries

    Morfonios, Christian V. (et al.)

    Pages 59-101

  • Computational Quantum Transport in Multiterminal and Multiply Connected Structures

    Morfonios, Christian V. (et al.)

    Pages 103-148

Buy this book

eBook $44.99
price for USA in USD (gross)
  • ISBN 978-3-319-39833-4
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $59.99
price for USA in USD
  • ISBN 978-3-319-39831-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Control of Magnetotransport in Quantum Billiards
Book Subtitle
Theory, Computation and Applications
Authors
Series Title
Lecture Notes in Physics
Series Volume
927
Copyright
2017
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-39833-4
DOI
10.1007/978-3-319-39833-4
Softcover ISBN
978-3-319-39831-0
Series ISSN
0075-8450
Edition Number
1
Number of Pages
X, 252
Number of Illustrations
1 b/w illustrations, 48 illustrations in colour
Topics