“…Heusler alloys have been a research hotspot for more than 100 years, gaining the attention of researchers due to their excellent properties and wide range of applications. High Curie temperatures (T C ), tunable electronic structure, suitable lattice constants for semiconductors and various magnetic properties (Manna et al, 2018) make Heusler alloys ideal materials for spin-gapless semiconductors (Wang et al, 2018;Bainsla et al, 2015;Gao et al, 2019), half-metallic materials (Shigeta et al, 2018;Khandy et al, 2018) and shape memory alloys (Yu et al, 2015;Odaira et al, 2018;Li et al, 2018a,b;Carpenter & Howard, 2018). Normally, there are three types of Heusler alloys: half-Heusler-type XYZ (Makongo et al, 2011; Anand et al, 2018; Zhang et al, 2016; Hou et al, 2015), full-Heusler-type X 2 YZ (Akriche et al, 2017; Babiker et al, 2017;Li et al, 2018a,b) and the equiatomic quaternary Heusler XYMZ materials (Bahramian & Ahmadian, 2017;Qin et al, 2017;Wang et al, 2017;Feng et al, 2018) with stoichiometry 1:1:1:1, where the X, Y and M atoms are usually transition-metal atoms, whereas the Z atom is a maingroup element.…”