Carey AL, Schulz-Baldes H (2019)
Publication Type: Journal article
Publication year: 2019
Book Volume: 370
Pages Range: 895-923
Journal Issue: 3
DOI: 10.1007/s00220-019-03310-0
Inserting a magnetic flux into a two-dimensional one-particle Hamiltonian leads to a spectral flow through a given gap which is equal to the Chern number of the associated Fermi projection. This paper establishes a generalization to higher even dimension by inserting non-abelian monopoles of the Wu-Yang type. The associated spectral flow is then equal to a higher Chern number. For the study of odd spacial dimensions, a new so-called ‘chirality flow’ is introduced which, for the insertion of a monopole, is then linked to higher winding numbers. This latter fact follows from a new index theorem for the spectral flow between two unitaries which are conjugates of each other by a self-adjoint unitary.
APA:
Carey, A.L., & Schulz-Baldes, H. (2019). Spectral Flow of Monopole Insertion in Topological Insulators. Communications in Mathematical Physics, 370(3), 895-923. https://doi.org/10.1007/s00220-019-03310-0
MLA:
Carey, Alan L., and Hermann Schulz-Baldes. "Spectral Flow of Monopole Insertion in Topological Insulators." Communications in Mathematical Physics 370.3 (2019): 895-923.
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