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Control of magnetotransport in quantum billiards = theory, computation and applications /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Control of magnetotransport in quantum billiards/ by Christian V. Morfonios, Peter Schmelcher.
Reminder of title:	theory, computation and applications /
Author:	Morfonios, Christian V.
other author:	Schmelcher, Peter.
Published:	Cham :Springer International Publishing : : 2017.,
Description:	x, 252 p. :ill., digital ; : 24 cm.;
Contained By:	Springer eBooks
Subject:	Electron transport. -
Online resource:	http://dx.doi.org/10.1007/978-3-319-39833-4
ISBN:	9783319398334

Control of magnetotransport in quantum billiards = theory, computation and applications /
Morfonios, Christian V.

Control of magnetotransport in quantum billiardstheory, computation and applications /[electronic resource] :by Christian V. Morfonios, Peter Schmelcher. - Cham :Springer International Publishing :2017. - x, 252 p. :ill., digital ;24 cm. - Lecture notes in physics,v.9270075-8450 ;. - Lecture notes in physics ;777 .

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.

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.

ISBN: 9783319398334

Standard No.: 10.1007/978-3-319-39833-4doiSubjects--Topical Terms:

579815
Electron transport.

LC Class. No.: QC611.6.E45

Dewey Class. No.: 530.138

Control of magnetotransport in quantum billiards = theory, computation and applications /
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505 0 $a 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.
520 $a 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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