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Resonance scattering across the superlattice barrier and the dimensional quantization
B. Pavlova, A. Yafyasovb a New Zealand Institute of Advanced Studies, Auckland, New Zealand
b Dept. of Solid State Electronics, St. Petersburg State University, St. Petersburg, Russia
Аннотация:
Carbon nano-cluster cathodes exhibit a low threshold electron emission, which is 2–3 orders lower than on metals and semiconductors. We confirm the effect by direct experiments with graphene structures. We are suggesting a model based on the interference electrons wave function in 3D-space charge region of carbon structure interface with vacuum. The low-threshold emission is explained, in frames of the model, by the resonance properties of the barrier formed on the interface. Also in the following topics: interpretation of recent experimental findings for saturation of the field emission; local spectral analysis of multidimensional periodic lattices: dispersion via DN-map; examples of iso-energetic surfaces associated with solvable models of periodic lattice; Lagrangian version of the operator extension algorithm; solvable models of selected one-body spectral problems; quantum dot attached to the node of a quantum graph; a solvable model of a discrete lattice and spectral structure of a 1D superlattice via analytic perturbation procedure.
Ключевые слова:
periodic interface, carbon cover, Weyl-Titchmarsh function, resonance, field emission, DN-map, periodic interface, carbon cover, Weyl-Titchmarsh function, resonance, field emission, DN-map.
Поступила в редакцию: 23.09.2016 Исправленный вариант: 01.09.2016
Образец цитирования:
B. Pavlov, A. Yafyasov, “Resonance scattering across the superlattice barrier and the dimensional quantization”, Наносистемы: физика, химия, математика, 7:5 (2016), 816–834
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/nano287 https://www.mathnet.ru/rus/nano/v7/i5/p816
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