A giant magnetoresistance (GMR) element is provided for use in a magnetic multi-turn sensor in which the free layer, that is, the layer that changes its magnetization direction in response to an external magnetic field so as to provide a resistance change, is thick enough to provide good shape anisotropy without exhibiting an AMR effect. To achieve this, at least a portion of the free layer comprises a plurality of layers of at least two different materials, specifically, a plurality of layers of at least a first material that is ferromagnetic and a plurality of layers of at least a second material that is known not to exhibit an AMR effect and that does not interfere with the GMR effect of the layers of ferromagnetic material.

A magnetoresistance element has a pinning arrangement with two antiferromagnetic pinning layers, two pinned layers, and a free layer. A spacer layer between one of the two antiferromagnetic pinning layers and the free layer has a material selected to allow a controllable partial pinning by the one of the two antiferromagnetic pinning layers.

A thin film magnet includes a substrate, an oxidation-inhibiting layer in an amorphous state disposed on an upper surface of the substrate, a first magnetic layer disposed on the oxidation-inhibiting layer, an intermediate layer disposed on the first magnetic layer, a second magnetic layer disposed on the intermediate layer, and a second oxidation-inhibiting layer in an amorphous state disposed above the second magnetic layer. The intermediate layer contains metal particles. The metal particles are diffused in the first magnetic layer and the second magnetic layer. The concentration of the metal particles in a part of the first magnetic layer decreases as the distance from the intermediate layer to the part of the first magnetic layer increases. The concentration of the metal particles in a part of the second magnetic layer decreases as the distance from the intermediate layer to the part of the second magnetic layer increases.