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arXiv · 1801.05053

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

I. S. Burmistrov·V. Yu. Kachorovskii·I. V. Gornyi·A. D. Mirlin
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Abstract

We compute the differential Poisson's ratio of a suspended two-dimensional crystalline membrane embedded into a space of large dimensionality $d \gg 1$. 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 $d_c$, with a power-law expansion $ν= -1/3 + 0.016/d_c + O(1/d_c^2)$, where $d_c=d-2$. Thus, the value $-1/3$ predicted in previous literature holds only in the limit $d_c\to \infty$.

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I. S. Burmistrov, V. Yu. Kachorovskii, I. V. Gornyi, A. D. Mirlin. 2018-01-15. Differential Poisson's ratio of a crystalline two-dimensional membrane. https://doi.org/10.1016/j.aop.2018.07.009

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