According to Neumann’s principle any physical observable of a condensed matter system must reflect its symmetry. When symmetry is broken new physics emerges. We are interested in how the breaking of symmetry combined with the spin-orbit coupling affects the properties of a condensed matter system, especially for spintronics applications. In particular, we are interested in the correlation between charge motion and spin orientation established when mirror reflection symmetry, time reversal symmetry or both are broken within a crystal or in a heterostructure. This allows generating magnetic torques by simply passing an electrical current and, vice-versa, reading the magnetic state electrically.
