Edge states in ordinary differential equations for dislocations

DOI10.1063/1.5128886zbMath1443.81030arXiv1908.01377OpenAlexW3102147479MaRDI QIDQ3298920

David Gontier

Publication date: 16 July 2020

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.01377

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Spectral flows (58J30) Flows related to complex manifolds (e.g., Kähler-Ricci flows, Chern-Ricci flows) (53E30)

Related Items (4)

Edge states for second order elliptic operators in a channel ⋮ Asymptotic Characterization of Localized Defect Modes: Su–Schrieffer–Heeger and Related Models ⋮ The bulk-edge correspondence for continuous dislocated systems ⋮ Mathematical theory for topological photonic materials in one dimension

Cites Work

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• Bulk and boundary invariants for complex topological insulators. From \(K\)-theory to physics
• Topological invariants of edge states for periodic two-dimensional models
• Bulk-edge correspondence for two-dimensional topological insulators
• A variational approach to dislocation problems for periodic Schrödinger operators
• Equivalence of topological and scattering approaches to quantum pumping
• Lattice dislocations in a 1-dimensional model
• Localised Wannier functions in metallic systems
• Equality of bulk and edge Hall conductance revisited
• Triviality of Bloch and Bloch-Dirac bundles
• Equality of the bulk and edge Hall conductances in a mobility gap
• Topologically protected states in one-dimensional continuous systems and Dirac points
• Dislocation Problems for Periodic Schrödinger Operators and Mathematical Aspects of Small Angle Grain Boundaries
• Spectral pollution and how to avoid it
• Self-Adjoint Fredholm Operators And Spectral Flow
• EDGE CURRENT CHANNELS AND CHERN NUMBERS IN THE INTEGER QUANTUM HALL EFFECT
• Chern number and edge states in the integer quantum Hall effect
• Simultaneous quantization of edge and bulk Hall conductivity
• On approximation of the eigenvalues of perturbed periodic Schrödinger operators

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