The evolution of Berry curvature under hydrostatic pressure on compensated ferrimagnet Mn₃Al

The evolution of Berry curvature under hydrostatic pressure is studied in Mn₃Al, a compensated ferrimagnetic Heusler compound. The pressure affects the occupation of certain k points, which influences the Berry curvature thereby affecting the anomalous (AHE), the spin Hall effect (SHE), and the anomalous Nernst effect (ANE). More specifically, AHE and SHE exhibit quite similar behavior due to half-metallicity, which is governed by the sum of Berry curvature of occupied bands. On the other hand, ANE reflects Berry curvature on the Fermi surface. In addition, at μ=0 eV,where nodal line exits, AHE, SHE, and ANE are compared with .