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Control of Magnetotransport in Quantum Billiards

Theory, Computation and Applications

  • Christian V. Morfonios
  • Peter Schmelcher

Part of the Lecture Notes in Physics book series (LNP, volume 927)

Table of contents

  1. Front Matter
    Pages i-x
  2. Christian V. Morfonios, Peter Schmelcher
    Pages 1-14
  3. Christian V. Morfonios, Peter Schmelcher
    Pages 15-35
  4. Christian V. Morfonios, Peter Schmelcher
    Pages 37-58
  5. Christian V. Morfonios, Peter Schmelcher
    Pages 59-101
  6. Christian V. Morfonios, Peter Schmelcher
    Pages 103-148
  7. Christian V. Morfonios, Peter Schmelcher
    Pages 149-171
  8. Christian V. Morfonios, Peter Schmelcher
    Pages 193-218
  9. Christian V. Morfonios, Peter Schmelcher
    Pages 219-224
  10. Back Matter
    Pages 225-252

About this book

Introduction

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.

Keywords

Computational quantum transport Conductance Switching Confined Scattering Landauer-Büttiker formalism Magnetoconductance Control Mesoscopic Transport Multiterminal Devices Nanoelectronic Elements Open Electron Billiards Quantum Dots

Authors and affiliations

  • Christian V. Morfonios
    • 1
  • Peter Schmelcher
    • 2
  1. 1.Center for Optical Quantum TechnologiesUniversity of HamburgHamburgGermany
  2. 2.Center for Optical Quantum TechnologiesUniversity of HamburgHamburgGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-39833-4
  • Copyright Information Springer International Publishing Switzerland 2017
  • Publisher Name Springer, Cham
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-3-319-39831-0
  • Online ISBN 978-3-319-39833-4
  • Series Print ISSN 0075-8450
  • Series Online ISSN 1616-6361
  • Buy this book on publisher's site