π-fluxes, semimetals, and flat bands in artificial materials

The possibility of engineering experimentally viable systems that realize gauge fluxes within plaquettes of hopping has been the subject of a search for decades due to vast amounts of theoretical study. This is of particular interest for topological band insulators, where it is known that such fluxe...

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Main Authors: Toshikaze Kariyado, Robert-Jan Slager
Format: Article
Language:English
Published: American Physical Society 2019-11-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/PhysRevResearch.1.032027
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author Toshikaze Kariyado
Robert-Jan Slager
author_facet Toshikaze Kariyado
Robert-Jan Slager
author_sort Toshikaze Kariyado
collection DOAJ
description The possibility of engineering experimentally viable systems that realize gauge fluxes within plaquettes of hopping has been the subject of a search for decades due to vast amounts of theoretical study. This is of particular interest for topological band insulators, where it is known that such fluxes bind protected midgap states. These modes can hybridize in extended flux lattices, giving rise to semimetallic bands that are highly tunable. We demonstrate that within artificial materials, local π-fluxes can be naturally realized. Also, the importance of the crystalline symmetry for protecting the π-flux modes is pointed out. Consequently, we provide concrete setups and conditions to access this physics and analyze similar self-organized band structures and physical properties. Our work therefore not only pinpoints simple systems exhibiting flat bands but also opens up a route to study flux lattice models and associated effective theories.
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spelling doaj.art-2462bb8a30954b758e133230a95739c72024-04-12T16:47:16ZengAmerican Physical SocietyPhysical Review Research2643-15642019-11-011303202710.1103/PhysRevResearch.1.032027π-fluxes, semimetals, and flat bands in artificial materialsToshikaze KariyadoRobert-Jan SlagerThe possibility of engineering experimentally viable systems that realize gauge fluxes within plaquettes of hopping has been the subject of a search for decades due to vast amounts of theoretical study. This is of particular interest for topological band insulators, where it is known that such fluxes bind protected midgap states. These modes can hybridize in extended flux lattices, giving rise to semimetallic bands that are highly tunable. We demonstrate that within artificial materials, local π-fluxes can be naturally realized. Also, the importance of the crystalline symmetry for protecting the π-flux modes is pointed out. Consequently, we provide concrete setups and conditions to access this physics and analyze similar self-organized band structures and physical properties. Our work therefore not only pinpoints simple systems exhibiting flat bands but also opens up a route to study flux lattice models and associated effective theories.http://doi.org/10.1103/PhysRevResearch.1.032027
spellingShingle Toshikaze Kariyado
Robert-Jan Slager
π-fluxes, semimetals, and flat bands in artificial materials
Physical Review Research
title π-fluxes, semimetals, and flat bands in artificial materials
title_full π-fluxes, semimetals, and flat bands in artificial materials
title_fullStr π-fluxes, semimetals, and flat bands in artificial materials
title_full_unstemmed π-fluxes, semimetals, and flat bands in artificial materials
title_short π-fluxes, semimetals, and flat bands in artificial materials
title_sort π fluxes semimetals and flat bands in artificial materials
url http://doi.org/10.1103/PhysRevResearch.1.032027
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