A method for making a crossbar array of crossed conductive or semi-conductive access lines on a substrate, the crossbar array including on a crossbar array insulator, in a plane parallel to the substrate, a first level of lines including a plurality of first lines parallel with each other made of a conductive or semi-conductive material; on the first level of lines, a second level of lines including a plurality of second lines parallel with each other made of a conductive or semi-conductive material, the second lines being substantially perpendicular to the first lines. The method includes forming, on the substrate, a first cavity of substantially rectangular shape; forming a second cavity of substantially rectangular shape superimposed to the first cavity, the first and second cavities intersecting each other perpendicularly so as to form a resultant cavity.