2013/07/30 by Toshikaze Kariyado, Yasuhiro Hatsugai · 2 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Condensed matter physics #Dirac fermion #Fermion #Fermion doubling #Geometry #Massless particle #Mathematical physics #Mathematics #Physics #Point reflection #Quantization (signal processing) #Quantum many-body systems #Quantum mechanics #Symmetry (geometry) #Topological Materials and Phenomena #cond-mat.str-el
paper · pdf · doi:10.1103/physrevb.88.245126
published as Phys. Rev. B 88 (2013) 245126 · 5 pages
arxiv created 2013/07/30 · openalex publication_date 2013/12/20 · arxiv updated 2015/01/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Berry phases defined by the one-dimensional momentum as a parameter show Z2 quantization due to the inversion symmetry combined with the time reversal, or existence of the reflection plane, which also protects the massless Dirac cones with continuous parameters. This is the symmetry protected Z2 quantization. These ideas are applied in the fermionic Shastry-Sutherland model, which has a rich phase diagram, including phases with massless Dirac fermions, a quadratic band crossing point, and a pseudospin-1 Weyl fermion. We also demonstrate that the Z2 Berry phases determine the existence of edge states as the bulk-edge correspondence of the massless Dirac fermion systems.