Exceptional Topological Insulators

Abstract

We introduce the exceptional topological insulator (ETI), a non-Hermitian topological state of matter that features exotic non-Hermitian surface states which can only exist within the three-dimensional topological bulk embedding. We show how this phase can evolve from a Weyl semimetal or Hermitian three-dimensional topological insulator close to criticality when quasiparticles acquire a finite lifetime. The ETI does not require any symmetry to be stabilized. It is characterized by a bulk energy point gap, and exhibits robust surface states that cover the bulk gap as a single sheet of complex eigenvalues or with a single exceptional point. The ETI can be induced universally in gapless solid-state systems, thereby setting a paradigm for non-Hermitian topological matter.

6+ pages, 3 figures; 21 pages Supplemental Material

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Cited by in corpus (74)

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• Amoeba Formulation of Non-Bloch Band Theory in Arbitrary Dimensions
• Knot topology of exceptional point and non-Hermitian no-go theorem
• Dislocation Non-Hermitian Skin Effect
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• Hermitian Bulk -- Non-Hermitian Boundary Correspondence
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• Restoration of the non-Hermitian bulk-boundary correspondence via topological amplification
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• Universal platform of point-gap topological phases from topological materials
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• Non-Hermitian Topology in Hermitian Topological Matter
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• Field theory of non-Hermitian disordered systems
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• Chemical Principles of Intrinsic Topological Superconductors
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• Infernal and Exceptional Edge Modes: Non-Hermitian Topology Beyond the Skin Effect
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• Non-Hermitian Origin of Detachable Boundary States in Topological Insulators
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• Floquet Exceptional Topological Insulator
• Hopf Bifurcation of Nonlinear Non-Hermitian Skin Effect
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• Anomalous second-order skin modes in Floquet non-Hermitian systems
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• Magnetic Flux Response of Non-Hermitian Topological Phases
• Intrinsic-perturbation induced anomalous higher-order boundary states in non-Hermitian systems
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• Continuum Landau surface states in a non-Hermitian Weyl semimetal