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Статья

Asymptotic freedom at zero temperature in free-standing crystalline membranes

Physical Review B: Condensed Matter and Materials Physics. 2014. Vol. 89. P. 125433-1-125433-7.
Kats E., Lebedev V.

We investigate the effects of quantum (zero-temperature) long-wavelength fluctuations of free-standing crystalline membranes, which 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.