Model Approach to the Description of Graphane Properties: Analytical Results

Model Approach to the Description of Graphane Properties: Analytical Results

Analytical expressions for the dispersion of electron bands are obtained by the method of Green’s functions in the tight-binding approximation. A parabolic approximation of the spectrum is proposed, within the framework of which the values of the effective mass of carriers and the quantum capacity a...

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Bibliographic Details
Published in:Physics of the solid state Vol. 62; no. 12; pp. 2459 - 2466
Main Author: Davydov, S. Yu
Format: Journal Article
Language:English
Published: Moscow Pleiades Publishing 01-12-2020
Springer
Springer Nature B.V
Subjects:
Approximation
Density functionals
Elastic properties
Graphene
Graphenes
Hydrogen
Mathematical analysis
Physics
Physics and Astronomy
Solid State Physics
monovacancy
quantum capacity
divacancy
phonons
elastic constants
effective mass
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Summary:Analytical expressions for the dispersion of electron bands are obtained by the method of Green’s functions in the tight-binding approximation. A parabolic approximation of the spectrum is proposed, within the framework of which the values of the effective mass of carriers and the quantum capacity are determined. The problem of local states of defects is considered using the Koster–Slater and Haldane–Anderson models. Analytical estimates of the characteristic phonon frequencies and elastic constants are given. The results are compared with the calculated data of other authors.
ISSN:1063-7834
1090-6460
DOI:10.1134/S1063783420120070