Topology of contact points in Lieb-kagomé model

Fuente: arXiv
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Autor principal: Abramovici, G.
Formato: Preprint
Publicado: 2021
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author Abramovici, G.
author_facet Abramovici, G.
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2106_14978
institution arXiv
publishDate 2021
record_format arxiv
spellingShingle Topology of contact points in Lieb-kagomé model
Abramovici, G.
Strongly Correlated Electrons
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.
title Topology of contact points in Lieb-kagomé model
topic Strongly Correlated Electrons
url https://arxiv.org/abs/2106.14978