Some embodiments are directed to a non-collinear magnetoresistive device, including a free layer; a fixed layer; and a non-magnetic layer disposed between the free layer and the fixed layer, wherein the fixed layer has an easy magnetization direction in an in-plane direction or in a perpendicular direction, the free layer satisfies at room temperature expressions (1) and (2) below: ERT≥1.66×10−19 J  (1) V≤5×104 nm3  (2) where ERT=(Ku1,eff+Ku2+Ku1,eff2/4Ku2)×V, Ku1,eff: an effective first-order anisotropy constant, Ku2: a second-order anisotropy constant, and V: a volume, and wherein the free layer is in a cone magnetization state.