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arXiv 1801.05053cond-mat.mes-hall
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二维结晶膜的微分泊松比

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

I. S. Burmistrov, V. Yu. Kachorovskii, I. V. Gornyi, A. D. Mirlin

摘要:

我们计算了嵌入到大维数空间$d \gg 1$中的悬浮二维晶体膜的微分泊松比。我们表明,在制度的反常胡克定律,微分泊松比的方法唯一的空间维数$d_c$确定的普遍值,与幂律展开$ν= -1/3 + 0.016/d_c + O(1/d_c^2)$,其中$d_c=d-2$。因此,先前文献中预测的值$-1/3$仅在极限$d_c\to \infty$内成立。

英文摘要:

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 $d_c\to \infty$.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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