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Classifying bulk-edge anomalies in the Dirac Hamiltonian
Hansueli Jud, Cl\'ement Tauber
https://arxiv.org/abs/2403.04465 https://…

Classifying bulk-edge anomalies in the Dirac Hamiltonian
We study the Dirac Hamiltonian in dimension two with a mass term and a large momentum regularization, and show that bulk-edge correspondence fails. Despite a well defined bulk topological index --the Chern number--, the number of edge modes depends on the boundary condition. The origin of this anomaly is rooted in the unbounded nature of the spectrum. It is detected with Levinson's theorem from scattering theory and quantified via an anomalous winding number at infinite energy, dubbed ghost cha…

Classifying bulk-edge anomalies in the Dirac Hamiltonian
Hansueli Jud, Cl\'ement Tauber
https://arxiv.org/abs/2403.04465 https://…

Classifying bulk-edge anomalies in the Dirac Hamiltonian
We study the Dirac Hamiltonian in dimension two with a mass term and a large momentum regularization, and show that bulk-edge correspondence fails. Despite a well defined bulk topological index --the Chern number--, the number of edge modes depends on the boundary condition. The origin of this anomaly is rooted in the unbounded nature of the spectrum. It is detected with Levinson's theorem from scattering theory and quantified via an anomalous winding number at infinite energy, dubbed ghost cha…