The invention concerns a thin layer semi-conductor structure including a semi-conductor surface layer (2) separated from a support substrate (1) by an intermediate zone (3), the intermediate zone (3) being a multi-layer electrically insulating the semi-conductor surface layer from the support substrate. The intermediate zone has a considered sufficiently good electrical quality of interface with the semi-conductor surface layer and includes at least one first layer, of satisfactory thermal conductivity to provide a considered as correct operation of the electronic device or devices which are to be elaborated from the semi-conductor surface layer (2), the intermediate zone including additionally a second insulating layer of low dielectric constant, located between the first layer and the support substrate.