Thermophysical and thermomagnetic properties of Heusler compound Ni$_{45}$Co$_{5}$Mn$_{37}$In$_{13}$

Ni$_{45}$Co$_{5}$Mn$_{37}$In$_{13}$ is a Heusler compound that develops a predominant ferromagnetic magnetic moment at temperatures in excess of 270 K, similar to Mn$_{2}$PtGa. Upon cooling Mn$_{2}$PtGa undergoes a paramagnetic-to-ferrimagnetic transition at 230 K, followed by a sharp drop in magnetization at 150 K due to a first-order ferrimagnet-to-antiferromagnetic transition. By analogy, the moment change observed in Ni$_{45}$Co$_{5}$Mn$_{37}$In$_{13}$ at 270 K is due to a first-order magneto-structural transition, where the sample undergoes a predominant ferromagnetic to an antiferromagnetic phase transition, accompanied by a structural phase transition. Experimental data will be given for the heat capacity and heat of magnetization of Ni$_{45}$Co$_{5}$Mn$_{37}$In$_{13}$, as a function of temperature and magnetic field. Thermomagnetic tensor elements will also be reported though the phase transition, i.e. thermal conductivity, thermopower, longitudinal and transverse magnetothermopower or Nernst effect, as a function of magnetic field and temperature. \\[4pt] [1] A. K. Nayak {\&} al., Phys. Rev. Lett. \textbf{110}, 127204 (2013)