One of substantial achievements in the development of information technologies is the increase in the capacity of digital media and the decrease in their size. A paper heard at an RAS Presidium meeting reports about the distinguishing features of multilayered magnetic structures and their characteristic fundamental effects, the discovery of which allowed for this technological breakthrough, as well as about modern studies aimed at further enhancement of information reading and recording technologies. The authors focus on the creation of magnetoresistive memory with electric field-assisted writing.