Derives an explicit blockwise RO(O(2))-valued spectral flow formula for regularized APS families of Dirac operators on warped cylinders with orthogonal twists.
Topological crystalline insulators and topological superconductors: From concepts to materials
2 Pith papers cite this work. Polarity classification is still indexing.
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abstract
In this review, we discuss recent progress in the explorations of topological materials beyond topological insulators; specifically, we focus on topological crystalline insulators and bulk topological superconductors. The basic concepts, model Hamiltonians, and novel electronic properties of these new topological materials are explained. The key role of symmetries that underlie their topological properties is elucidated. Key issues in their materials realizations are also discussed.
fields
math-ph 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
Reflection symmetry on twisted Dirac operators on warped cylinders holds precisely when 2A is integer, yielding unitary equivalence of APS blocks and an RO(O(2))-valued or mod-two spectral-flow invariant.
citing papers explorer
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Higher-Rank Orthogonal Twists, APS Boundary Conditions, and $O(2)$-Equivariant Spectral Flow on a Warped Cylinder
Derives an explicit blockwise RO(O(2))-valued spectral flow formula for regularized APS families of Dirac operators on warped cylinders with orthogonal twists.
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Reflection Symmetry, APS Boundary Conditions, and Equivariant Spectral Flow on a Warped Cylinder
Reflection symmetry on twisted Dirac operators on warped cylinders holds precisely when 2A is integer, yielding unitary equivalence of APS blocks and an RO(O(2))-valued or mod-two spectral-flow invariant.