Resonance scattering across the superlattice barrier and the dimensional quantization
https://doi.org/10.17586/2220-8054-2016-7-5-816-834
Abstract
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.
Keywords
Supporting agencies: The autors are grateful to V. B. Bogevolnov for providing extremely interesting and inspiring material– the carbon flakes obtained by detonation– which served main object of our experimental and the theoretical study. We are also grateful to Prof. G. Fursey, Prof. P. Konorov, Prof. P. Schwerdtfegger and Dr. Krista Steenbergen for an inspirating discussion of the mathematical analog of the shaky concept of chemical bound with respect to the problem of selection appropriate contact subspaces for fitted solvable models of periodic lattices.
About the Authors
B. Pavlov
New Zealand Institute of Advanced Studies
New Zealand
New Zealand
Auckland
A. Yafyasov
Dept. of Solid State Electronics, St. Petersburg State University
Russian Federation
Russian Federation
St. Petersburg
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Review
For citations:
Pavlov B., Yafyasov A. Resonance scattering across the superlattice barrier and the dimensional quantization. Nanosystems: Physics, Chemistry, Mathematics. 2016;7(5):816-834. https://doi.org/10.17586/2220-8054-2016-7-5-816-834
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