Abstract
Since 2008, iron-based superconductors have been the focus of intense research. Unfortunately, the higher transition temperatures and most promising high-magnetic field properties have been associated with compounds that have to be chemically disordered, making it hard to fully understand their intrinsic properties. A fully ordered compound with near optimal properties would be ideal and CaKFe${}_{4}$As${}_{4}$ appears to be that compound. In this work, the authors present detailed anisotropic, structural, thermodynamic, and transport measurements that, in addition to revealing high upper critical fields, also provide the basis for further understanding of this fully ordered, high-${T}_{c}$, iron-based superconductor. It is shown that CaKFe${}_{4}$As${}_{4}$ has exceptionally large upper critical fields (in excess of 650 kOe and possibly as high as 900 kOe) as well as high ${T}_{c}$ values (35 K), which can be obtained and studied without any disorder-related effects obscuring or complicating the results.
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