Bushes of Nonlinear Normal Modes in Single-Layer Graphene
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Дата
2016
ORCID
DOI
Науковий ступінь
Рівень дисертації
Шифр та назва спеціальності
Рада захисту
Установа захисту
Науковий керівник
Члени комітету
Видавець
NTU "KhPI"
Анотація
In-plane vibrations in uniformly stretched single-layer graphene (space group P6mm), which are described by
the Rosenberg nonlinear normal modes (NNMs) and their bushes, are studied with the aid of group-theoretical
methods developed by authors in some earlier papers. It was found that only 4 symmetry-determined NNMs
(one-dimensional bushes), as well as 14 two-dimensional bushes are possible in graphene. They are exact
solutions to the dynamical equations of this two-dimensional crystal. The verification of group-theoretical
results with the aid of ab initio simulations based on density functional theory is discussed.
Опис
Ключові слова
lattice dynamics, nonlinear normal modes, graphene, group-theoretical methods, ab initio simulations, density functional theory
Бібліографічний опис
Chechin G. M. Bushes of Nonlinear Normal Modes in Single-Layer Graphene / G. M. Chechin, D. S. Ryabov, S. A. Shcherbinin // Nonlinear Dynamics–2016 (ND-KhPI2016) : proceedings of 5th International Conference, dedicated to the 90th anniversary of Academician V. L. Rvachev, September 27-30, 2016 = Нелінійна динаміка–2016 : тези доп. 5-ї Міжнар. конф., 27-30 вересня 2016 р. – Kharkov : NTU "KhPI", 2016. – P. 65-70.