A magnetic device includes a magnetic layer having a variable direction of magnetization, and a first antiferromagnetic layer in contact with the magnetic layer, the first antiferromagnetic layer being able to trap the direction of magnetization of the magnetic layer. The magnetic device also includes a layer made of a ferromagnetic material in contact with the first antiferromagnetic layer through its face opposite to the magnetic layer, the directions of magnetization of the magnetic and ferromagnetic layers being substantially perpendicular. A first layer among the magnetic and ferromagnetic layers has a magnetization, the direction of which is oriented in the plane of the first layer whereas the second of the two layers among the magnetic and ferromagnetic layers has a magnetization, the direction of which is oriented outside of the plane of the second layer.