najoNanosystems: Physics, Chemistry, MathematicsНаносистемы: физика, химия, математика2220-80542305-7971Университет ИТМО10.17586/2220-8054-2016-7-1-58-59najo-760Research ArticlePAPERS, PRESENTED AT THE CONFERENCEPAPERS, PRESENTED AT THE CONFERENCEPhenomenology of ripples in graphenePhenomenology of ripples in grapheneKtitorovS. A.KtitorovS. A.

St. Petersburg

St. Petersburg

ktitorov@mail.ioffe.ruMukhamadiarovR. I.MukhamadiarovR. I.

St. Petersburg

St. Petersburg

Ioffe Institute; St. Petersburg Electrotechnical University LETIIoffe Institute; St. Petersburg Electrotechnical University LETIIoffe InstituteIoffe Institute20161408202571Special Issue: Proceedings of the 12th Biennial International Conference “Advanced Carbon Nanostructures” (ACNS’2015)5859Copyright © Ktitorov S.A., Mukhamadiarov R.I., 20252025Ktitorov S.A., Mukhamadiarov R.I.Ktitorov S.A., Mukhamadiarov R.I.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://nanojournal.ifmo.ru/jour/article/view/760

The ripples are considered an incommensurate superstructure in a two-dimensional crystal, appearing as a result of the formation of periodic solutions in an in-plane optical phonon subsystem. The possible instability of the flexural subsystem is also discussed.

The ripples are considered an incommensurate superstructure in a two-dimensional crystal, appearing as a result of the formation of periodic solutions in an in-plane optical phonon subsystem. The possible instability of the flexural subsystem is also discussed.

Landau functionalgrapheneripplesincommensuratecurvatureLandau functionalgrapheneripplesincommensuratecurvatureReferencesVozmediano M.A.H., Katsnelson M.I., Guinea F. Gauge fields in graphene. Physics Reports, 2010, 496, P. 109–148.Vozmediano M.A.H., Katsnelson M.I., Guinea F. Gauge fields in graphene. Physics Reports, 2010, 496, P. 109–148.Mermin N.D., Wagner H. Absence of Ferromagnetism or Antiferromagnetism in One- or Two-Dimensional Isotropic Heisenberg Models. Phys. Rev. Lett., 1966, 17, P. 1133–1136.Mermin N.D., Wagner H. Absence of Ferromagnetism or Antiferromagnetism in One- or Two-Dimensional Isotropic Heisenberg Models. Phys. Rev. Lett., 1966, 17, P. 1133–1136.Nelson D., Piran T., Weinberg S. Statistical Mechanics of Membranes Surfaces, World Scientific, New Jersey, 2004.Nelson D., Piran T., Weinberg S. Statistical Mechanics of Membranes Surfaces, World Scientific, New Jersey, 2004.Izyumov Y.A., Syromyatnikov V.N. Phase transitions and symmetry of crystals. Science, Moscow, 1984, 182 p.Izyumov Y.A., Syromyatnikov V.N. Phase transitions and symmetry of crystals. Science, Moscow, 1984, 182 p.

The authors declare that there are no conflicts of interest present.