Twisted bulk-boundary correspondence of fragile topology

Abstract

Exploiting topological features in materials is being pursued as a route to build in robustness of particular properties. Stemming from crystalline symmetries, such topological protection renders the properties robust against defects and provides a platform of rich physics to be studied. Recent developments have revealed the existence of so-called fragile topological phases, where the means of classification due to symmetry is unclear. Z.-D. Song et al. and Peri et al. present a combined theoretical and experimental approach to identify, classify, and measure the properties of fragile topological phases. By invoking twisted boundary conditions, they are able to describe the properties of fragile topological states and verify the expected experimental signature in an acoustic crystal. Understanding how fragile topology arises could be used to develop new materials with exotic properties.

Document Details

Document Type
Pub Defense Publication
Publication Date
Feb 14, 2020
Source ID
10.1126/science.aaz7650

Entities

People

  • Andrei Bernevig
  • Luis Elcoro
  • Zhi-Da Song

Organizations

  • David and Lucile Packard Foundation
  • Freie Universität Berlin
  • Max Planck Institute for Microstructure Physics
  • National Science Foundation
  • Office of Naval Research
  • Princeton University
  • United States Department of Energy
  • University of the Basque Country

Tags

Readers

  • Educational Psychology
  • Quantum spin resonance or Electron Paramagnetic Resonance spectroscopy.
  • Sensor Fusion and Tracking Systems.