Control of Magnetotransport in Quantum Billiards
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"Control of Magnetotransport in Quantum Billiards" by Christian V. Morfonios, Peter Schmelcher is a physics book focused on Devices & Sensors. Best for students, educators, and scientifically curious readers.
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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"Control of Magnetotransport in Quantum Billiards" by Christian V. Morfonios, Peter Schmelcher is a physics book focused on Devices & Sensors. Best for students, educators, and scientifically curious readers.
Topic: Devices & Sensors
Author: Christian V. Morfonios, Peter Schmelcher
Who this is for:
- Physics students
- Science-minded readers
- Readers building technical understanding
Why this book matters: It provides structured coverage of physics concepts in a way that supports deeper understanding and continued study.
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.
| Author | Christian V. Morfonios, Peter Schmelcher |
| Publisher | Springer |
| Published | 2016-11-17 |
| ISBN-13 | 9783319398310 |
| Binding | Paperback |
| Language | English |
| Subjects | Technology & Engineering |
| Topic | Devices & Sensors |
| Series | Lecture Notes in Physics |
Format: Paperback
Language: English
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