Energy density as a probe of band representations in photonic crystals

Abstract

Topological quantum chemistry (TQC) has recently emerged as an instrumental tool to characterize the topological nature of both fermionic and bosonic band structures. TQC is based on the study of band representations and the localization of maximally localized Wannier functions. In this article, we study various two-dimensional photonic crystal structures analyzing their topological character through a combined study of TQC, their Wilson-loop (WL) spectra and the electromagnetic energy density. Our study demonstrates that the analysis of the spatial localization of the energy density complements the study of the topological properties in terms of the spectrum of the WL operator and TQC.

Document Details

Document Type
Pub Defense Publication
Publication Date
Jun 10, 2022
Source ID
10.1088/1361-648x/ac73cf

Entities

People

  • Aitzol García-Etxarri
  • Barry Bradlyn
  • Dario Bercioux
  • Geza Giedke
  • H. Alaeian
  • M. A. J. Herrera
  • Maia García
  • María Blanco de Paz
  • Paloma A. Huidobro

Organizations

  • Air Force Office of Scientific Research
  • Basque Government
  • Fundação para a Ciência e Tecnologia
  • Ministry of Science of Spain
  • Purdue University

Tags

Fields of Study

  • Physics

Readers

  • Nanoscale Plasmonic Nanotechnology
  • Occupational Health and Safety.
  • Quantum spin resonance or Electron Paramagnetic Resonance spectroscopy.

Technology Areas

  • Quantum Computing