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Higher-order topological insulators.

Frank Schindler1, Ashley M Cook1, Maia G Vergniory2,3

  • 1Department of Physics, University of Zurich, Winterthurerstrasse 190, 8057 Zurich, Switzerland.

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Summary
This summary is machine-generated.

This study introduces higher-order topological insulators, materials with protected conducting hinge states instead of surface states. Researchers identify chiral and helical types and confirm SnTe and bismuth compounds as examples.

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Area of Science:

  • Condensed Matter Physics
  • Materials Science
  • Quantum Mechanics

Background:

  • Topological insulators possess insulating bulk and conducting surface states, protected by symmetries.
  • These states are crucial for novel electronic and spintronic applications.
  • Extending topological concepts to new material classes is an active research area.

Purpose of the Study:

  • To generalize the concept of three-dimensional topological insulators to systems with hinge states.
  • To introduce and classify higher-order topological insulators (HOTIs).
  • To identify material candidates and propose experimental detection methods for hinge states.

Main Methods:

  • Theoretical classification of HOTIs based on spatiotemporal symmetries (time-reversal, rotation, mirror).
  • Bulk topology characterization using topological invariants ( and classes).
  • Identification of material candidates like SnTe and modified bismuth compounds.

Main Results:

  • Defined two classes of HOTIs: chiral and helical, distinguished by hinge state properties (chiral modes vs. Kramers pairs).
  • Provided topological invariants for classifying these HOTIs.
  • Identified SnTe and surface-modified Bi2TeI, BiSe, and BiTe as helical HOTIs.

Conclusions:

  • Higher-order topological insulators represent a new phase of matter with topologically protected hinge states.
  • The theoretical framework allows for the discovery and classification of these novel materials.
  • Experimental realization and detection of hinge states in specific materials are feasible.