Topology of contact points in Lieb-kagomé model

Abstract

We analyse Lieb-kagomé model, a three-band model with contact points showing particular examples of the merging of Dirac contact points. We prove that eigenstates can be parametrized in a classification surface, which is a hypersurface of a 4-dimension space. This classification surface is a powerful device giving topological properties of the energy band structure; the analysis of its fundamental group proves that all singularities of the band structure can be characterized by four independent winding (integer) numbers. Lieb case separates: its classification surface differs and there is only one winding number.

24 pages

References in corpus (2)

• A new magnetic field dependence of Landau levels on a graphene like structure
• Topological Phases for Fermionic Cold Atoms on the Lieb Lattice

Cited by in corpus (1)

• Bloch classification surface for three-band systems