Abstract:The abrupt loss of mechanical stability of two-dimensional graphene-type crystals at a certain transition temperature is described. At this temperature, the graphene state with practically zero-speed bending sound and developed bending fluctuations becomes energetically favorable. Such phenomenon, akin to melting, is naturally caused by the anharmonicity of crystal oscillations. In order to circumvent the known difficulties associated with taking into account the anharmonic effects, we propose an original pseu… Show more
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