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Exceptional topological insulators.

M Michael Denner1, Anastasiia Skurativska2, Frank Schindler2,3

  • 1Department of Physics, University of Zurich, Winterthurerstrasse 190, 8057, Zurich, Switzerland. michael.denner@physik.uzh.ch.

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|September 29, 2021
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Summary
This summary is machine-generated.

Researchers discovered the exceptional topological insulator (ETI), a novel non-Hermitian topological state. ETIs possess unique surface states and can emerge from other topological phases, offering a new paradigm in condensed matter physics.

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Area of Science:

  • Condensed Matter Physics
  • Topological Matter
  • Non-Hermitian Physics

Background:

  • Topological insulators are materials with insulating bulk and conducting surfaces.
  • Non-Hermitian systems exhibit unique phenomena due to their open nature.
  • Understanding topological phases in non-Hermitian systems is an active research area.

Purpose of the Study:

  • To introduce and characterize the exceptional topological insulator (ETI).
  • To explore the conditions under which ETIs can emerge.
  • To establish ETIs as a new paradigm in non-Hermitian topological matter.

Main Methods:

  • Theoretical introduction of the ETI phase.
  • Analysis of phase transitions from Weyl semimetals and Hermitian topological insulators.
  • Characterization of bulk and surface states, including exceptional points.

Main Results:

  • The ETI is a non-Hermitian topological state with exotic surface states.
  • ETIs can evolve from Weyl semimetals or Hermitian topological insulators near criticality.
  • ETIs are stabilized by a bulk energy point gap and possess robust surface states.

Conclusions:

  • The exceptional topological insulator represents a new class of topological matter.
  • ETIs can be universally induced in gapless solid-state systems.
  • This work establishes a paradigm for non-Hermitian topological matter.