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Control of Magnetotransport in Quantum Billiards - Theory, Computation and Applications (Paperback, 1st ed. 2017)
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Control of Magnetotransport in Quantum Billiards - Theory, Computation and Applications (Paperback, 1st ed. 2017)
Series: Lecture Notes in Physics, 927
Expected to ship within 10 - 15 working days
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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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