Evolution of elastic moduli through a two-dimensional structural transformation

Evolution of elastic moduli through a two-dimensional structural transformation
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通过二维结构变换弹性模量的演变

DOI:
10.1103/physrevb.99.104108
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发表时间:
2019
期刊:
影响因子:
3.7
通讯作者:
Barraza-Lopez, Salvador
Barraza-Lopez, Salvador
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Pacheco-Sanjuan, Alejandro;Bishop, Tyler B.;Farmer, Erin E.;Kumar, Pradeep;Barraza-Lopez, Salvador

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我们使用一个经典的分析和可分离的弹性能量景观描述SnO单层估计软化的弹性模量通过在有限的温度下发生在这种材料的机械不稳定性。虽然由于其低能势垒导致量子准弹性相而不严格适用于这种材料,但本练习是相关的,因为它建立了一个概念性的程序来直接从二维弹性能量景观中估计这种模量。作为对量子准弹性相存在的额外支持,我们进行了定性的WKB分析,以估计从景观上的单个井的逃逸时间;逃逸时间随屏障的高度呈指数级增加。我们还提供了反对额外的变换到一个平面晶格,由于其高能量成本的参数。这些结果继续为软物质概念在二维材料中的有用性以及量子效应在软物质中的潜在潜伏性提供了一个案例。
We use a classical analytical and separable elastic energy landscape describing SnO monolayers to estimate the softening of elastic moduli through a mechanical instability occurring at finite temperature in this material. Although not strictly applicable to this material due to its low-energy barrierthat leads to a quantum paraelastic phase, the present exercise is relevant as it establishes a conceptual procedure to estimate such moduli straight from a two-dimensional elastic energy landscape. As additional support for the existence of a quantum paraelastic phase, we carry a qualitative WKB analysis to estimate escape times from an individual well on the landscape; escape times increase exponentially with the height of the barrier. We also provide arguments against an additional transformation onto a planar lattice due to its high-energy cost. These results continue to establish a case for the usefulness of soft matter concepts in two-dimensional materials, and of the potential lurking of quantum effects into soft matter.
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