Abstract

Motivated by the recent discovery of a high-temperature superconducting phase in ${\mathrm{KFe}}_{2}{\mathrm{As}}_{2}$ at 16 GPa accompanied by an isostructural phase transition from the tetragonal to the compressed tetragonal phase, we extend the study of pressure effects to the whole $X{\mathrm{Fe}}_{2}{\mathrm{As}}_{2}$ family ($X=\mathrm{Na}$, K, Rb, Cs). We demonstrate that the ionic radius of the $X$ atom determines the transition to the compressed phase which induces relevant changes in electronic properties and the Fermi surface which can enhance the superconducting pairing. Based on these results and in analogy with ${\mathrm{KFe}}_{2}{\mathrm{As}}_{2}$, we theoretically propose ${\mathrm{Na}}_{0.5}{\mathrm{K}}_{0.5}{\mathrm{Fe}}_{2}{\mathrm{As}}_{2}$ as a possible new superconductor material in its compressed tetragonal phase which we predict to happen above 6 GPa.

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