Magnetic field sensor for sensing a two-dimensional external magnetic field, including a magnetic tunnel junction including a reference layer having a fixed reference magnetization, a sense ferromagnetic layer having a sense magnetization, and a tunnel barrier layer between the sense and reference ferromagnetic layers; the sense ferromagnetic layer including a first sense ferromagnetic layer in contact with the tunnel barrier layer, a second sense ferromagnetic layer, and a first non-magnetic layer between the first and second sense ferromagnetic layers; the second sense ferromagnetic layer includes a plurality of multilayer element, each multilayer element including a second non-magnetic layer between two second ferromagnetic sense layers; and wherein the second sense ferromagnetic layer has a thickness equal or less than 12 nm.