Group Structure of Wilson Loops in 2D Models with 2- and 4-Band Energy Spectra

Autor:	Supatashvili, T., Eliashvili, M., Tsitsishvili, G.
Rok vydání:	2021
Předmět:	Condensed Matter - Mesoscale and Nanoscale Physics High Energy Physics - Theory
Zdroj:	Int. J. Mod. Phys. B 36 (2022) 2250197
Druh dokumentu:	Working Paper
DOI:	10.1142/S0217979222501971
Popis:	We consider a tight-binding model defined by a matrix Hamiltonian over 2D Brillouin zone. Multiband energy spectrum gives rise to a non-Abelian gauge structure set by the Berry connections. The corresponding curvature $F_{\mu\nu}$ vanishes throughout the Brillouin zone except an isolated points where $F_{\mu\nu}$ is singular. Combining the singular behaviour of $F_{\mu\nu}$ with non-Abelian Stokes theorem allows to avoid the path ordering procedure in studying the structure of Wilson loops. 2D models with 2-band and 4-band energy spectra are considered as a demonstrative examples and the group structure of the corresponding Wilson loops is revealed. Comment: 7 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2108.06510 Zobrazit plný text záznamu View this record from Arxiv