title: Hidden symmetry and protection of Dirac points on the honeycomb lattice.
abstract: The honeycomb lattice possesses a novel energy band structure, which is characterized by two distinct Dirac points in the Brillouin zone, dominating most of the physical properties of the honeycomb structure materials. However, up till now, the origin of the Dirac points is unclear yet. Here, we discover a hidden symmetry on the honeycomb lattice and prove that the existence of Dirac points is exactly protected by such hidden symmetry. Furthermore, the moving and merging of the Dirac points and a quantum phase transition, which have been theoretically predicted and experimentally observed on the honeycomb lattice, can also be perfectly explained by the parameter dependent evolution of the hidden symmetry.
authors.affiliation: Department of Physics, Southeast University, Nanjing 211189, China.
authors.forename: Jing-Min
authors.initials: JM
authors.lastname: Hou
authors.affiliation: College of Science, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China.
authors.forename: Wei
authors.initials: W
authors.lastname: Chen