Cleavage Tendency of Anisotropic Two Dimensional Materials: ReX2 (X=S, Se) and WTe2
Haifeng Wang, Erfu Liu, Yu Wang, Bo Wan, Ching-Hwa Ho, F. Miao, X., G. Wan

TL;DR
This study investigates the fracture behavior and cleavage tendencies of anisotropic 2D materials ReX2 and WTe2, revealing how their unique tensile properties influence the formation of specific edge angles during cleavage.
Contribution
It provides a comprehensive analysis combining experiments and first-principles calculations to explain the anisotropic fracture behavior and cleavage angles of ReX2 and WTe2 monolayers.
Findings
ReX2 flakes tend to cleave at ~60° or ~120° angles.
Unique anisotropic tensile strengths determine cleavage edges.
WTe2 exhibits different cleavage behavior explained by its stress-strain relation.
Abstract
With unique distorted 1T structure and the associated in-plane anisotropic properties, mono- and few-layer ReX2 (X=S, Se) have recently attracted particular interest. Based on experiment and first-principles calculations, we investigate the fracture behavior of ReX2. We find that the cleaved edges of ReX2 flakes usually form an angle of ~120{\deg} or ~60{\deg}. In order to understand such phenomenon, we perform comprehensive investigations on the uniaxial tensile stress-strain relation of monolayer and multi-layer ReX2 sheets. Our numerical calculation shows that the particular cleaved edges of ReX2 flakes are caused by unique anisotropic ultimate tensile strengths and critical strains. We also calculate the stress-strain relation of WTe2, which explains why their cleaved edges are not corresponding to the principle axes. Our proposed mechanism about the fracture angle has also been…
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