“…However, several recent studies have found many Heusler materials have tetragonal structure as the ground state, e.g., Felser et al [29] found that Mn 3-x Fe x Ga and Mn 3-x Co x Ga have tetragonal structure over the whole range of compositions from experiment results, and then Faleev et al [30,31] performed an extensive investigation on the origin of the tetragonal ground state for 286 Heusler compounds by theoretical calculation, which shows 62% have tetragonal structure. More recently, Han et al [32,33] and Wu et al [34] studied the phase competition between cubic and tetragonal structures in a series of conventional Heusler compounds Pd 2 YZ (Y = Co, Fe, Mn; Z = B, Al, Ga, In, Tl, Si, Ge, Sn, Pb, P, As, Sb) and all-d-metal Heusler compounds X 2-x Mn 1+x V (X = Pd, Ni, Pt, Ag, Au, Ir, Co; x = 1, 0) and Zn 2 MMn (M = Ru, Rh, Pd, Os, Ir) and found that many of them also exhibit tetragonal phases, especially the most of Pd 2 Co-based Heusler alloys. Compared with the cubic structures, the tetragonal ones have several special properties, like large perpendicular magnetic anisotropy [35][36][37] and ferromagnetic shape memory behavior [38][39][40][41][42][43], which are very important for the development of spin-transfer torque magnetic random-access memory, ferromagnetic shape memory alloys and other spintronic applications [29,[44][45][46].…”