We investigate the temperature dependences of the magnetic properties, electrical resistivity, magnetoresistance, and Hall effect resistivity, ${\rho }_H\left(H\right)$, in thin films of the Heusler-type ${\mathrm{Ni}}_{47.3}{\mathrm{Mn}}_{30.6}{\mathrm{Ga}}_{22.1}$ (at.%) magnetic shape memory alloys epitaxially grown onto a MgO(001) substrate. The results reveal martensitic transformation at about 230 K, premartensitic transition around 285 K, and the Curie temperature of austenite around 380 K. We obtained the coefficients of normal Hall effect (NHE), $R_0$, and anomalous Hall effect (AHE), $R_s$, by fitting the total Hall resistivity curves ${\rho }_H=R_0{B}_z+4\pi R_s{M}_z$ in several magnetic field ranges (0.1–1, 0–5, 8–16, and 0–16 kOe), using experimental magnetization data. Both coefficients $R_0$ and $R_s$ strongly depend on the magnetic field. We also fit the Hall effect resistivity with the expression ${\rho }_H=R_0{B}_z+4\pi R_s{M}_z+\mathrm{\Delta }{\rho }_H$ using the coefficients $R_0$ and $R_s$ obtained from the high-field interval (8–16 kOe), where the last term, $\mathrm{\Delta }{\rho }_H$, was considered to correspond either to the topological Hall effect or to the antiferromagnetic Hall effect. The obtained temperature dependence and magnitude of $\mathrm{\Delta }{\rho }_H$ discard the presence of the skyrmions or antiskyrmions. We conclude that unconventional field dependences of the NHE and AHE coefficients are produced by the antiferromagnetic correlations and the influence of the magnetic field on the electronic structure.

• Received 27 May 2020
• Revised 23 July 2020
• Accepted 3 August 2020

DOI:https://doi.org/10.1103/PhysRevB.102.064413