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The iron-based superconductors are characterized by strong fluctuations dueto high transition temperatures and small coherence lengths. We investigatefluctuation behavior in the magnetic iron-pnictide superconductor$\mathrm{Rb}\mathrm{Eu}\mathrm{Fe}_{4}\mathrm{As}_{4}$ by calorimetry andtransport. We find that the broadening of the specific-heat transition inmagnetic fields is very well described by the lowest-Landau-level scaling. Wereport calorimetric and transport observations for vortex-lattice melting,which is seen as a sharp drop of the resistivity and a step of the specificheat at the magnetic-field-dependent temperature. The melting line in thetemperature/magnetic-field plane lies noticeably below the upper-critical-fieldline and its location is in quantitative agreement with theoretical predictionswithout fitting parameters. Finally, we compare the melting behavior of$\mathrm{Rb}\mathrm{Eu}\mathrm{Fe}_{4}\mathrm{As}_{4}$ with othersuperconducting materials showing that thermal fluctuations of vortices are notas prevalent as in the high-temperature superconducting cuprates, yet theystill noticeably influence the properties of the vortex matter.

Melting of vortex lattice in magnetic superconductor $\mathrm{Rb}\mathrm{Eu}\mathrm{Fe}_{4}\mathrm{As}_{4}$