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The spin order in cubic perovskite SrFeO3 and BaFeO3 under high pressure isstudied by density functional theory (DFT) calculation with local spin densityapproximation plus Hubbard U (LSDA+U). At ambient pressure, A-type and G-typehelical spin orders are almost degenerate in BaFeO3 whose lattice constant is3.97{\AA} . When the lattice constant is reduced to 3.85 {\AA} which is same asthe lattice constant of SrFeO3 at ambient pressure, G-type helical spin orderbecomes stable, being consistent with SrFeO3. This is because superexchangeinteraction is enhanced as compared with double exchange interaction. Phasetransition from helical spin state to ferromagnetic state in both SrFeO3 andBaFeO3 takes place if the lattice constant is further reduced to 3.70 {\AA}.This is because reduced local spin moment weakens the contribution fromsuperexchange interaction. Our result agrees with recent experimental result ofBaFeO3 under high pressure. Additionally, our calculation predicts thathalf-metal BaFeO3 at ambient pressure will become a good metal under highpressure

Pressure Induced Ferromagnetism in Cubic Perovskite SrFeO3 and BaFeO3