Kinks in buckled graphene uncompressed and compressed in the longitudinal direction

Abstract

In this Chapter we provide a review of the main results obtained in the modeling of graphene kinks and antikinks, which are elementary topological excitations of buckled graphene membranes. We introduce the classification of kinks, as well as discuss kink-antikink scattering, and radiation-kink interaction. We also report some new findings including i) the evidence that the kinetic energy of graphene kinks is described by a relativistic expression, and ii) demonstration of damped dynamics of kinks in membranes compressed in the longitudinal direction. Special attention is paid to highlight the similarities and differences between the graphene kinks and kinks in the classical scalar ${\varphi }^4$ theory. The unique properties of graphene kinks discussed in this Chapter may find applications in nanoscale motion.

arXiv commentTo be published in Properties and Functionalization of Graphene, edited by Tandabany. D. & Hagelberg. F., Boston: Elsevier Inc (2021)

References in corpus (14)

• Negative Thermal Expansion Coefficient of Graphene Measured by Raman Spectroscopy
• Young's modulus of Graphene: a molecular dynamics study
• Phonon Transport in Graphene
• Kink interactions in the (1+1)-dimensional ${\phi }^6$ model
• Kink excitation spectra in the (1+1)-dimensional ${\phi }^8$ model
• Scattering of the ${\phi }^8$ kinks with power-law asymptotics
• Successive phase transitions and kink solutions in ${\varphi }^8$, ${\varphi }^{10}$, and ${\varphi }^{12}$ field theories
• Multi-kink collisions in the ${\varphi }^6$ model
• Negative radiation pressure exerted on kinks
• Kinks and antikinks of buckled graphene: A testing ground for phi^4 field model
• Phonons in graphene with point defects
• Snap-through transition of graphene membranes for memcapacitor applications: A combined study using MD, DFT and elasticity theory
• Manipulating graphene kinks through positive and negative radiation pressure effects
• Domain Wall and Periodic Solutions of Coupled phi4 Models in an External Field

Cited by in corpus (1)

• Kink-Antikink Collisions and Multi-Bounce Resonance Windows in Higher-Order Field Theories