Rearrangement of energy bands: Chern numbers in the presence of cubic symmetry

DOI10.1007/s10440-012-9694-2zbMath1278.81160OpenAlexW1964545189MaRDI QIDQ384068

Toshihiro Iwai, Boris I. Zhilinskiĭ

Publication date: 25 November 2013

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-012-9694-2

zbMATH Keywords

Chern classtopological invariantsmoleculesenergy bands

Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Atomic physics (81V45) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Applications of linear algebraic groups to the sciences (20G45) Riemann-Roch theorems, Chern characters (19L10)

Related Items (4)

Band rearrangement through the 2D-Dirac equation: comparing the APS and the chiral bag boundary conditions ⋮ Topology of time-reversal invariant energy bands with adiabatic structure ⋮ Chern number modification in crossing the boundary between different band structures: Three-band models with cubic symmetry ⋮ Local description of band rearrangements

Cites Work

• Energy bands: Chern numbers and symmetry
• Topologically coupled energy bands in molecules
• Symmetry, invariants, topology. Basic tools
• Symmetry, invariants, and topology in molecular models
• Qualitative features of intra-molecular dynamics. What can be learned from symmetry and topology?
• Remarks on eigenvalues and eigenvectors of Hermitian matrices, Berry phase, adiabatic connections and quantum Hall effect
• Chern numbers, quaternions, and Berry's phases in Fermi systems
• Monodromy, diabolic points, and angular momentum coupling
• CLIFFORD MODULES AND SYMMETRIES OF TOPOLOGICAL INSULATORS
• Periodic table for topological insulators and superconductors
• Generic description of the degeneracies in Harper-like models
• Topological properties of the Born-Oppenheimer approximation and implications for the exact spectrum

This page was built for publication: Rearrangement of energy bands: Chern numbers in the presence of cubic symmetry