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Two-Dimensional Quadrupole Topological Insulator in γ-Graphyne.

Bing Liu1, Gan Zhao1, Zhao Liu1

  • 1Hefei National Laboratory for Physical Sciences at the Microscale , University of Science and Technology of China , Hefei , Anhui 230026 , China.

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|August 9, 2019
PubMed
Summary
This summary is machine-generated.

We predict that γ-graphyne is a large-gap two-dimensional quadrupole topological insulator (2D QTI). This electronic material exhibits quantized quadrupole moment, gapped edge states, and in-gap corner states, paving the way for new topological electronics.

Keywords:
Quadrupole topological insulatorfirst-principles calculationtopological corner stateγ-graphyne

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Area of Science:

  • Condensed Matter Physics
  • Materials Science
  • Topological Matter

Background:

  • Two-dimensional quadrupole topological insulators (2D QTIs) represent a novel class of second-order topological phases.
  • While experimentally realized in artificial systems, their occurrence in intrinsic electronic materials remains rare.

Purpose of the Study:

  • To predict and characterize a large-gap 2D QTI in a realistic electronic material.
  • To identify the specific features and conditions for topological states in this material.

Main Methods:

  • First-principles calculations to predict the electronic band structure of γ-graphyne.
  • Analysis of bulk quadrupole moment, edge states, and corner states.
  • Investigation of edge termination and corner geometry effects on topological properties.
  • Robustness analysis under edge disorder and system size variations.

Main Results:

  • γ-graphyne is predicted to be a large-gap (∼0.2 eV) 2D QTI.
  • Quantized finite bulk quadrupole moment, gapped topological edge states, and in-gap topological corner states are simultaneously observed.
  • Gapped edge states are found on specific armchair edge terminations (C≡C), and corner states at 120° corners, linked to edge-hopping textures and chiral charges.
  • Topological corner states demonstrate robustness against edge disorder and system size changes.

Conclusions:

  • γ-graphyne is a promising realistic electronic material for realizing large-gap 2D QTIs.
  • The findings provide a foundation for experimental exploration and potential applications in topological quantum technologies.