Quantized Berry winding from an emergent $\mathcal{PT}$ symmetry - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue SciPost Physics Année : 2023

Quantized Berry winding from an emergent $\mathcal{PT}$ symmetry

Résumé

Linear crossing of energy bands occur in a wide variety of materials. In this paper we address the question of the quantization of the Berry winding characterizing the topology of these crossings in dimension $D=2$. Based on the historical example of $2$-bands crossing occuring in graphene, we propose to relate these Berry windings to the topological Chern number of a $D=3$ dimensional extension of these crossings. This dimensional embedding is obtained through a choice of a gap-opening potential. We show that the presence of an (emergent) $\mathcal{PT}$ symmetry, local in momentum and antiunitary, allows us to relate $D=3$ Chern numbers to $D=2$ Berry windings quantized as multiple of $\pi$. We illustrate this quantization mechanism on a variety of three-band crossings.

Dates et versions

hal-03476890 , version 1 (13-12-2021)

Identifiants

Citer

Thibaud Louvet, Pierre Delplace, Mark Oliver Goerbig, David Carpentier. Quantized Berry winding from an emergent $\mathcal{PT}$ symmetry. SciPost Physics, 2023, 15 (4), pp.129. ⟨10.21468/SciPostPhys.15.4.129⟩. ⟨hal-03476890⟩
40 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More