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Issue 40, 2019
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Topological flat band, Dirac fermions and quantum spin Hall phase in 2D Archimedean lattices

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Abstract

Materials with properties designed on-demand arise in a synergy between theoretical and experimental approaches. Here, we explore a set of Archimedean lattices, providing a guide to their electronic properties and topological phases. Within these lattices, a rich electronic structure emerges forming type-I and II Dirac fermions, topological flat bands and high-degeneracy points with linear and flat dispersions. Employing a tight-binding model with spin–orbit coupling, we characterize quantum spin Hall (QSH) phases in all Archimedean lattices. Our discussions are validated within density functional theory calculations, where we show the characteristic bands of the studied lattices arising in 2D carbon allotropes.

Graphical abstract: Topological flat band, Dirac fermions and quantum spin Hall phase in 2D Archimedean lattices

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Article information


Submitted
27 Aug 2019
Accepted
20 Sep 2019
First published
20 Sep 2019

Phys. Chem. Chem. Phys., 2019,21, 22344-22350
Article type
Paper

Topological flat band, Dirac fermions and quantum spin Hall phase in 2D Archimedean lattices

F. Crasto de Lima, G. J. Ferreira and R. H. Miwa, Phys. Chem. Chem. Phys., 2019, 21, 22344
DOI: 10.1039/C9CP04760C

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