Evolution of elastic moduli through a two-dimensional structural transformation

Pacheco-Sanjuan, Alejandro; Bishop, Tyler B.; Farmer, Erin E.; Kumar, Pradeep; Barraza-Lopez, Salvador

doi:10.1103/physrevb.99.104108

Title: Evolution of elastic moduli through a two-dimensional structural transformation

Journal Article · Tue Mar 26 00:00:00 EDT 2019 · Physical Review B

DOI:https://doi.org/10.1103/physrevb.99.104108· OSTI ID:1612403

Pacheco-Sanjuan, Alejandro ^[1]; Bishop, Tyler B. ^[2]; Farmer, Erin E. ^[2]; Kumar, Pradeep ^[2]; Barraza-Lopez, Salvador ^[2]

Univ. Tecnica Federico Santa Maria, Valparaiso (Chile)
Univ. of Arkansas, Fayetteville, AR (United States)

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 barrier J that 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 J. 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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Research Organization:: Univ. of Arkansas, Fayetteville, AR (United States); Argonne National Lab. (ANL), Argonne, IL (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES). Scientific User Facilities Division; National Science Foundation (NSF)

Grant/Contract Number:: SC0016139; AC02-06CH11357; DMR-1610126

OSTI ID:: 1612403

Journal Information:: Physical Review B, Vol. 99, Issue 10; ISSN 2469-9950

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 10 works

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Title: Evolution of elastic moduli through a two-dimensional structural transformation

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