TY - JOUR

T1 - Resonance scattering across the superlattice barrier and the dimensional quantization

AU - Pavlov, B.

AU - Yafyasov, A.

PY - 2016/10

Y1 - 2016/10

N2 - 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.

AB - 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.

KW - periodic interface

KW - carbon cover

KW - Weyl-Titchmarsh function

KW - resonance

KW - field emission

KW - DN-map

KW - FIELD-EMISSION

U2 - 10.17586/2220-8054-2016-7-5-816-834

DO - 10.17586/2220-8054-2016-7-5-816-834

M3 - статья

VL - 7

SP - 816

EP - 834

JO - Nanosystems: Physics, Chemistry, Mathematics

JF - Nanosystems: Physics, Chemistry, Mathematics

SN - 2220-8054

IS - 5

ER -