|
Эта публикация цитируется в 1 научной статье (всего в 1 статье)
PHYSICS
The Lagrange variety approach applied to frustrated classical wheels
W. Floreka, A. Marlewskib, G. Kamieniarza, M. Antkowiaka a Adam Mickiewicz University, Faculty of Physics,
ul. Uniwersytetu Poznanskiego 2, 61-614 Poznań, Poland
b Poznan University of Technology, Institute of Mathematics,
ul. Piotrowo 3A, 60-965 Poznań, Poland
Аннотация:
The Lagrange variety approach introduced by Schmidt and Luban [J. Phys. A: Math. Gen. 36, 6351 (2003)] is applied to geometrically frustrated wheels (centered regular polygons). It is shown that the lowest energy configurations are planar or collinear. The latter one, characteristic for non-frustrated classical systems, is also observed in the presence of competing interactions in a well-determined range $(0, \alpha_c)$ of the energy function parameter $\alpha$. The ‘critical’ value $\alpha_c=1/4$ is universal, i.e., it does not depend on a system size. In this domain, the geometric frustration is present, but there is no non-trivial degeneracy.
Ключевые слова:
frustration, classical spin models, magnetic molecules, Lagrange variety.
Поступила в редакцию: 29.12.2019
Образец цитирования:
W. Florek, A. Marlewski, G. Kamieniarz, M. Antkowiak, “The Lagrange variety approach applied to frustrated classical wheels”, Наносистемы: физика, химия, математика, 11:1 (2020), 30–35
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/nano495 https://www.mathnet.ru/rus/nano/v11/i1/p30
|
Статистика просмотров: |
Страница аннотации: | 116 | PDF полного текста: | 28 |
|