The object of providing a non-volatile semiconductor memory that stands out by good scalability and a high retention time as well as ensures low switching voltages at low switching times and achieves a great number of switching cycles at good temperature stability is solved by the present invention with a semiconductor memory whose memory cells comprise at least one silicon matrix material layer with open or disturbed nanocrystalline or amorphous network structures and structural voids which has a resistively switching property between two stable states, utilizing the ion drift in the silicon matrix material layer. The memory concept suggested in the present invention thus offers an alternative to the flash and DRAM memory concepts since it is not based on the storing of charges, but on the difference of the electric resistance between two stable states that are caused by the mobility of ions in the amorphous silicon matrix material with an externally applied electric field.