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RESEARCH PRODUCT

Kinks and antikinks of buckled graphene: A testing ground for phi^4 field model

Ruslan D. YamaletdinovYurij V. PershinValeriy A. Slipko

subject

PhysicsCondensed matter physicsField (physics)Condensed Matter - Mesoscale and Nanoscale PhysicsGrapheneFOS: Physical sciences02 engineering and technology021001 nanoscience & nanotechnology01 natural sciencesResonance (particle physics)law.inventionMolecular dynamicsReflection (mathematics)law0103 physical sciencesMesoscale and Nanoscale Physics (cond-mat.mes-hall)Physics::Chemical Physics010306 general physics0210 nano-technologyTransverse directionNonlinear Sciences::Pattern Formation and Solitons

description

Kinks and antikinks of the classical ${\ensuremath{\varphi}}^{4}$ field model are topological solutions connecting its two distinct ground states. Here we establish an analogy between the excitations of a long graphene nanoribbon buckled in the transverse direction and ${\ensuremath{\varphi}}^{4}$ model results. Using molecular dynamics simulations, we investigated the dynamics of a buckled graphene nanoribbon with a single kink and with a kink-antikink pair. Several features of the ${\ensuremath{\varphi}}^{4}$ model have been observed including the kink-antikink capture at low energies, kink-antikink reflection at high energies, and a bounce resonance. Our results pave the way towards the experimental observation of a rich variety of ${\ensuremath{\varphi}}^{4}$ model predictions based on graphene.

https://dx.doi.org/10.48550/arxiv.1705.10684