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Article

Absolute Poisson’s ratio and the bending rigidity exponent of a crystalline two-dimensional membrane

Annals of Physics. 2020. Vol. 414. No. 168108. P. 1-24.
Saykin D., Gornyi I., Kachorovskii V., Burmistrov I.

We compute the absolute Poisson’s ratio  and the bending rigidity exponent  of a free-standing two-dimensional crystalline membrane embedded into a space of large dimensionality , . We demonstrate that, in the regime of anomalous Hooke’s law, the absolute Poisson’s ratio approaches material independent value determined solely by the spatial dimensionality :  where . Also, we find the following expression for the exponent of the bending rigidity: . These results cannot be captured by self-consistent screening approximation.