Topological equatorial waves and violation (or not) of the bulk edge correspondence

DOI10.1088/1751-8121/ad7ae7MaRDI QIDQ6624202

Jiming Yu, Guillaume Bal

Publication date: 25 October 2024

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

zbMATH Keywords

spectral flowtopological insulatorsbulk edge correspondencetopological equatorial waves

Mathematics Subject Classification ID

Statistical mechanics, structure of matter (82-XX) Geophysics (86-XX)

Cites Work

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• Bulk and boundary invariants for complex topological insulators. From \(K\)-theory to physics
• Chern numbers, localisation and the bulk-edge correspondence for continuous models of topological phases
• Equality of bulk and edge Hall conductance revisited
• Microlocal analysis of the bulk-edge correspondence
• Edge states and the valley Hall effect
• Topology in shallow-water waves: a violation of bulk-edge correspondence
• Topology in shallow-water waves: a spectral flow perspective
• Chern number and edge states in the integer quantum Hall effect
• Simultaneous quantization of edge and bulk Hall conductivity
• Topological origin of equatorial waves
• Topological invariants for interface modes
• Continuous bulk and interface description of topological insulators
• A bulk-interface correspondence for equatorial waves
• Topological charge conservation for continuous insulators
• Topology of 2D Dirac operators with variable mass and an application to shallow-water waves
• Asymmetric transport for magnetic Dirac equations
• Approximations of interface topological invariants

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