Volume 412 - RDP online PhD school and workshop "Aspects of Symmetry" (Regio2021) - Session 5
On the Wilson loops in 2D tight-binding models
T. Supatashvili*, M. Eliashvili and G. Tsitsishvili
Full text: pdf
Published on: May 16, 2022
Abstract
In the following paper we are considering Hamiltonians with multiband structure. In this case the important quantities to characterize topological states are non-Abelian connection matrix, Berry curvature and Wilson loop. We calculated some of the Wilson loops and showed that their set has a group structure and is isomorphic to $\pi_1(T^2)=\mathbb{Z}\times \mathbb{Z}$. It is shown how to get the same results using the facts known in differential geometry.
DOI: https://doi.org/10.22323/1.412.0021
How to cite

Metadata are provided both in "article" format (very similar to INSPIRE) as this helps creating very compact bibliographies which can be beneficial to authors and readers, and in "proceeding" format which is more detailed and complete.

Open Access
Copyright owned by the author(s) under the term of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.