Artificial flat band systems: from lattice models to experiments

Certain lattice wave systems in translationally invariant settings have one or more spectral bands that are strictly flat or independent of momentum in the tight binding approximation, arising from either internal symmetries or fine-tuned coupling. These flat bands display remarkable strongly intera...

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Bibliographic Details
Published inAdvances in physics: X Vol. 3; no. 1; p. 1473052
Main Authors Leykam, Daniel, Andreanov, Alexei, Flach, Sergej
Format Journal Article
LanguageEnglish
Published Taylor & Francis 01.01.2018
Taylor & Francis Group
Subjects
Aharonov-Bohm cage
compact localized state
Frustration
Lieb lattice
line graph
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Summary:Certain lattice wave systems in translationally invariant settings have one or more spectral bands that are strictly flat or independent of momentum in the tight binding approximation, arising from either internal symmetries or fine-tuned coupling. These flat bands display remarkable strongly interacting phases of matter. Originally considered as a theoretical convenience useful for obtaining exact analytical solutions of ferromagnetism, flat bands have now been observed in a variety of settings, ranging from electronic systems to ultracold atomic gases and photonic devices. Here we review the design and implementation of flat bands and chart future directions of this exciting field.
ISSN:2374-6149
2374-6149
DOI:10.1080/23746149.2018.1473052