Asymptotic freedom at zero temperature in crystalline membranes
arXiv:1312.6476 · doi:10.1103/PhysRevB.89.125433
Abstract
We investigate effects of quantum (zero-temperature) long wavelength fluctuations of free standing crystalline membranes, that are two-dimensional objects embedded into three-dimensional space. The fluctuations produce logarithmic renormalization of elasticity and bending moduli of the membranes. We find one-loop RG-equations to demonstrate that the system is in the "asymptotic freedom" regime that is the quantum fluctuations destabilize the flat membrane phase.
7 pages
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