2016/03/31 by Yizhi You, Yi-Zhuang You, Yi‐Zhuang You
Physics and Astronomy · #Advanced Condensed Matter Physics #Condensed matter physics #Disclination #Liquid crystal #Physics #Quantum #Quantum mechanics #Quantum, superfluid, helium dynamics #Symmetry protected topological order #Topological Materials and Phenomena #Topological defect #Topological entropy in physics #Topological order #Topological quantum number #Topology (electrical circuits) #cond-mat.str-el #hep-th
paper · pdf · doi:10.1103/physrevb.93.245135
published as Phys. Rev. B 93, 245135 (2016)
arxiv created 2016/06/01 · openalex publication_date 2016/06/16 · arxiv updated 2016/06/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
In this paper we focus on the interplay between geometry defects and topological properties in bosonic symmetry-protected topological (SPT) phases. We start from eight copies of 3D time-reversal (T) invariant topological superconductors (TSC) on a crystal lattice. We melt the lattice by condensation of disclinations and therefore restore the rotation symmetry. Such a disclination condensation procedure confines the fermion and afterwards turns the system into a 3D boson topological liquid crystal (TCL). The low energy effective theory of this crystalline-liquid transition contains a topological term inherited from the geometry axion response in TSC. In addition, we investigate the interplay between dislocation and superfluid vortex on the surface of TCL. We demonstrate that the T and translation invariant surface state is a double [eTmT] state with intrinsic surface topological order. We also look into the exotic behavior of dislocation in the 2D boson SPT state described by an O(4) nonlinear \ensuremathσ model (NL\ensuremathσM) with topological \mathrm\ensuremathΘ term. By dressing the O(4) vector with spiral order and gauging the symmetry, the dislocation has mutual semion statistics with the gauge flux. Further reducing the O(4)\phantom\rule4pt0exNL\ensuremathσM to the Ising limit, we arrive at the Levin-Gu model with stripy modulation whose dislocation has nontrivial braiding statistics.