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Article

Differential Poisson’s ratio of a crystalline two-dimensional membrane

Annals of Physics. 2018. Vol. 396. P. 119-136.
I.S. Burmistrov, Kachorovskii V., Gornyi I., Mirlin A.

We compute the differential Poisson’s ratio of a suspended two-dimensional crystalline membrane embedded into a space of large dimensionality . We demonstrate that, in the regime of anomalous Hooke’s law, the differential Poisson’s ratio approaches a universal value determined solely by the spatial dimensionality , with a power-law expansion , where . Thus, the value  predicted in previous literature holds only in the limit .