Summary: | In a recent advance, zirconium triselenide (ZrSe<sub>3</sub>) nanosheets with anisotropic and strain-tunable excitonic response were experimentally fabricated. Motivated by the aforementioned progress, we conduct first-principle calculations to explore the structural, dynamic, Raman response, electronic, single-layer exfoliation energies, and mechanical features of the ZrX<sub>3</sub> (X = S, Se, Te) monolayers. Acquired phonon dispersion relations reveal the dynamical stability of the ZrX<sub>3</sub> (X = S, Se, Te) monolayers. In order to isolate single-layer crystals from bulk counterparts, exfoliation energies of 0.32, 0.37, and 0.4 J/m<sup>2</sup> are predicted for the isolation of ZrS<sub>3</sub>, ZrSe<sub>3</sub>, and ZrTe<sub>3</sub> monolayers, which are comparable to those of graphene. ZrS<sub>3</sub> and ZrSe<sub>3</sub> monolayers are found to be indirect gap semiconductors, with HSE06 band gaps of 1.93 and 1.01 eV, whereas the ZrTe<sub>3</sub> monolayer yields a metallic character. It is shown that the ZrX<sub>3</sub> nanosheets are relatively strong, but with highly anisotropic mechanical responses. This work provides a useful vision concerning the critical physical properties of ZrX<sub>3</sub> (X = S, Se, Te) nanosheets.
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