Higher-order topological insulators and superconductors protected by inversion symmetry

By E. Khalaf. 2018

387 citations recorded by the source corpus.

Here, higher-order topological insulators and superconductors protected by inversion symmetry are investigated. These phases are characterized by gapped bulk and surface with gapless modes confined to hinges or corners of the sample. Such surface states can be understood as topological defects that are globally stabilized by inversion. They can be built using a layer construction that embeds a standard topological insulator/superconductor into a higher dimension by symmetrically adding to it copies of itself. Using this procedure, a complete classification of such states in any dimension is obtained and several examples for possible physical realizations are provided.

Subfields: Atomic and Molecular Physics, and Optics, Materials Chemistry

View Paper: https://www.semanticscholar.org/paper/9e6ba7ca932f384d9ddd02a55eaa8da838af3791

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In Atomic and Molecular Physics, and Optics

In Materials Chemistry

Citations in the corpus

Higher-Order Bulk-Boundary Correspondence for Topological Crystalline Phases (2018, methodology): “Two approaches have been taken for the classification of anomalous, termination-independent HOTPs: A bulk-based approach, which starts from the classification of the bulk band structure and then shows under which circumstances a nontrivial bulk topology implies a higher-order topological phase [30,4”
Failure of Nielsen-Ninomiya Theorem and Fragile Topology in Two-Dimensional Systems with Space-Time Inversion Symmetry: Application to Twisted Bilayer Graphene at Magic Angle (2018, background): “The surface degrees of freedom are given by projecting the matrices under P (θ) = 12 (1 + iΓ1(θ)Γ3), and H 0 ≡ −(PΓ2P )Ri∂θ|r=R describes the two oppositely-propagating chiral edge states [67, 68, 78].”
Higher-order non-Hermitian skin effect (2020, background): “[13] E.”
Quantization of fractional corner charge in Cn -symmetric higher-order topological crystalline insulators (2018, background): “[34] Eslam Khalaf, “Higher-order topological insulators and superconductors protected by inversion symmetry,” Phys.”