Abstract
We investigate effects of long-wavelength dynamic fluctuations in free-standing crystalline membranes by means of the renormalization group method. Thermal fluctuations lead to power dispersion laws for two acoustic in-plane sound modes (longitudinal and transversal) and one out-of-plane bending mode governed by the renormalized static elastic and bending modules. There is no logarithmic contribution to the attenuation of the modes in the marginal membrane dimension $D=4$; therefore, in the dimensionality $D\ensuremath{-}\ensuremath{\epsilon}$, the attenuations are slave, following the same scaling laws as the dispersion laws. We anticipate that our results can be relevant for a better understanding of the graphene (and other crystalline films) dynamics.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
