A method for producing a micro system, said method comprising: providing a substrate (2) made of aluminum oxide; producing a thin film (6) on the substrate (2) by depositing lead zirconate titanate onto the substrate (2) with a thermal deposition method such that the lead zirconate titanate in the thin film (6) is self-polarized and is present predominantly in the rhombohedral phase; and cooling down the substrate (2) together with the thin film (6).