We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Spectral Flow of Monopole Insertion in Topological Insulators.
- Authors
Carey, Alan L.; Schulz-Baldes, Hermann
- Abstract
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.
- Subjects
TOPOLOGICAL insulators; MAGNETIC flux; CHIRALITY; GENERALIZATION
- Publication
Communications in Mathematical Physics, 2019, Vol 370, Issue 3, p895
- ISSN
0010-3616
- Publication type
Article
- DOI
10.1007/s00220-019-03310-0