Vacuum polarization in graphene with a topological defect

• Опубліковано в: : Физика низких температур
• Дата: 2008
• Автори: Sitenko, Yu.A., Vlasii, N.D.
• Формат: Стаття
• Мова: Англійська
• Опубліковано: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2008
• Теми: Graphene and graphite multilayers
• Онлайн доступ: https://nasplib.isofts.kiev.ua/handle/123456789/117562
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Цитувати: Vacuum polarization in graphene with a topological defect
 / Yu.A. Sitenko, N.D. Vlasii
 // Физика низких температур. — 2008. — Т. 34, № 10. — С. 1049-1057. — Бібліогр.: 20 назв. — англ.

The influence of a topological defect in graphene on the ground state of electronic quasiparticle
 excitations is studied in the framework of the long-wavelength continuum model originating in the tightbinding
 approximation for the nearest neighbour interaction in the graphitic lattice. Atopological defect that
 rolls up a graphitic sheet into a nanocone is represented by a pointlike pseudomagnetic vortex with a flux
 which is related to the deficit angle of the cone. The method of self-adjoint extensions is employed to define
 the set of physically acceptable boundary conditions at the apex of the nanocone. The electronic system on a
 graphitic nanocone is found to acquire the ground state condensate and current of special type, and we
 determine the dependence of these quantities on the deficit angle of the nanocone, continuous parameter of
 the boundary condition at the apex, and the distance from the apex.