Wallpaper fermions and the nonsymmorphic Dirac insulator

Abstract

Analyzing the spatial symmetries of three-dimensional (3D) crystal structures has led to the discovery of exotic types of quasiparticles and topologically nontrivial materials. Wieder et al. focus on the symmetry groups of 2D surfaces of 3D materials—the so-called wallpaper groups—and find that some of them allow for an additional topological class. This class hosts a single fourfold-degenerate Dirac fermion on the surface of the material and, on the basis of the authors' calculations, is expected to occur in the compound Sr 2 Pb 3 .

Document Details

Document Type
Pub Defense Publication
Publication Date
Jul 20, 2018
Source ID
10.1126/science.aan2802

Entities

People

  • Andrei Bernevig
  • Andrew M Rappe
  • Barry Bradlyn
  • Benjamin J. Wieder
  • Charles L. Kane
  • Hyeong-Seok D Kim
  • Jennifer Cano
  • Youngkuk Kim
  • Zhijun Wang

Organizations

  • Army Research Office
  • David and Lucile Packard Foundation
  • European Research Council
  • Freie Universität Berlin
  • Max Planck Institute for Microstructure Physics
  • National Natural Science Foundation of China
  • National Science Foundation
  • Nordic Institute for Theoretical Physics
  • Princeton University
  • Simons Foundation
  • Sungkyunkwan University
  • United States Department of Defense
  • United States Department of Energy
  • University of Pennsylvania

Tags

Fields of Study

  • Physics

Readers

  • Materials Science and Engineering.
  • Quantum Dot Semiconductor Device Photonics and Graphene Optoelectronic Materials and THz Physics.

Technology Areas

  • Microelectronics
  • Microelectronics - Graphene