Abstract
The present work is devoted to the computer modeling of emission processes from the graphene surface which is a promising material for modern applications. We examine the effect of the ion field inhomogeneity on the variational solution of the Schrödinger equation for the ground state of a loosely bound electron of a hydrogen-like carbon atom, which simulates the graphene model. This shows a significant impact of the allowance for the field inhomogeneity to the ground state of the electron.
Highlights
There is a huge amount of publications about field emission properties of various carbon nanostructures
One of the important problems of the use of graphene and nanotubes on its basis in the nanotechnology is the lack of reliable data on the quantum states of atoms of graphene lattice in the presence of external field sources
For calculation the ground state of an electron we used a variational solution of the Schrodinger equation, based on minimizing the electron potential energy in the ion field, that assumes homogeneity of the ion field
Summary
There is a huge amount of publications about field emission properties of various carbon nanostructures. One of the important problems of the use of graphene and nanotubes on its basis in the nanotechnology is the lack of reliable data on the quantum states of atoms of graphene lattice in the presence of external field sources. It is necessary to develop a model describing the interaction of the electron with the surface. In the previous work [3], the graphene model in the form of the lattice of hydrogen-like atoms with a screened ion in the Brandt model was used to calculate the ground state of atoms of the graphene surface [4]. Within the hydrogen-like atom model used to describe the carbon atom in the graphene lattice the problem is regarded as the electron interaction with the ion lattice having some effective charge q. The Brandt-Kitagawa model [4] is an appropriate a model describing the inhomogeheous interaction
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