Band rearrangement through the 2D-Dirac equation: comparing the APS and the chiral bag boundary conditions

DOI10.1016/j.indag.2015.11.010zbMath1368.37085OpenAlexW2184903846MaRDI QIDQ344720

Toshihiro Iwai, Boris I. Zhilinskiĭ

Publication date: 24 November 2016

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.indag.2015.11.010

zbMATH Keywords

spectral flowDirac equationchiral bag boundary conditionenergy band

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Applications of global differential geometry to the sciences (53C80) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70)

Related Items

The 2D Kramers-Dirac oscillator ⋮ Bulk-edge correspondence for the Dirac oscillator on the two-torus as a magnetic unit cell ⋮ Chern number modification in crossing the boundary between different band structures: Three-band models with cubic symmetry ⋮ Angular momentum coupling, Dirac oscillators, and quantum band rearrangements in the presence of momentum reversal symmetries

Cites Work

• Rearrangement of energy bands: Chern numbers in the presence of cubic symmetry
• Energy bands: Chern numbers and symmetry
• Monodromy, diabolic points, and angular momentum coupling
• Local description of band rearrangements
• On the theory of self-adjoint extensions of symmetric operators and its applications to quantum physics
• Spectral asymmetry and Riemannian Geometry. I