Weyl Semimetals and Spinless $$Z_2$$ Magnetic Topological Crystalline Insulators with Glide Symmetry

Abstract

AbstractIn this chapter, we study phase transitions between a spinless topological crystalline insulator (TCI) and a normal insulator (NI) phases, upon changing a parameter in the magnetic system. We assume that the glide symmetry is preserved in the phase transition. First of all, we construct a theory describing such a phase transition based on an effective model. We find that the TCI-NI phase transition is always intervened by a spinless Weyl semimetal (WSM) phase in general, which is a semimetal phase with nondegenerate Dirac cones at or around the Fermi energy.