We show that compositions of time-reversal and spatial symmetries, also known as the magnetic-space-group protect topological invariants well surface states are distinct from those all preceding states. obtain, by explicit exhaustive construction, classification electronic band insulators magnetically ordered for each one 1421 magnetic space groups in three dimensions. have computed symmetry-ba...

Investigation of the electronic structure contending battery electrode materials is an essential step for developing a detailed mechanistic understanding charge–discharge properties. Herein, we use synchrotron soft X-ray absorption spectroscopy (XAS) in combination with complementary experiments and density functional theory calculations to map structure, band positioning, gap prototype vanadiu...