Details

Subject(s)

• Electron transport [Browse]
• Mesoscopic phenomena (Physics) [Browse]

Author

• Schmelcher, Peter [Browse]

Series

• Lecture notes in physics ; 927. [More in this series]
• Lecture notes in physics, 0075-8450 ; volume 927 [More in this series]

Summary note

"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." --Page 4 of cover.

Bibliographic references

Includes bibliographical references and index.

Contents

• Electrons in mesoscopic low-dimensional systems
• Coherent electronic transport: Landauer-B?ttiker 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

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ISBN

• 9783319398310 ((pbk.))
• 3319398318

LCCN

2016947165

OCLC

965794896

International Article Number

• 9783319398310

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