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The antiferromagnet CaFe$_2$As$_2$ does not become superconducting whensubject to ideal hydrostatic pressure conditions, where crystallographic andmagnetic states also are well defined. By measuring electrical resistivity andmagnetic susceptibility under quasi-hydrostatic pressure, however, we find thata substantial volume fraction of the sample is superconducting in a narrowpressure range where collapsed tetragonal and orthorhombic structures coexist.At higher pressures, the collapsed tetragonal structure is stabilized, with theboundary between this structure and the phase of coexisting structures stronglydependent on pressure history. Fluctuations in magnetic degrees of freedom inthe phase of coexisting structures appear to be important forsuperconductivity.

Presure-Induced Superconducting State of Antiferromagnetic CaFe$_2$As$_2$