# Quantized electric multipole insulators

## Author(s): Benalcazar, Wladimir A; Bernevig, Bogdan A.; Hughes, Taylor L

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dc.contributor.authorBernevig, Bogdan A.-
dc.contributor.authorHughes, Taylor L-
dc.date.accessioned2020-10-30T19:20:27Z-
dc.date.available2020-10-30T19:20:27Z-
dc.date.issued2017-07-07en_US
dc.identifier.citationBenalcazar, Wladimir A, Bernevig, B Andrei, Hughes, Taylor L. (2017). Quantized electric multipole insulators. SCIENCE, 357 (61 - 66. doi:10.1126/science.aah6442en_US
dc.identifier.issn0036-8075-
dc.identifier.urihttp://arks.princeton.edu/ark:/88435/pr14z4c-
dc.description.abstractThe Berry phase provides a modern formulation of electric polarization in crystals. We extend this concept to higher electricmultipole moments and determine the necessary conditions and minimal models for which the quadrupole and octupole moments are topologically quantized electromagnetic observables. Such systems exhibit gapped boundaries that are themselves lower-dimensional topological phases. Furthermore, they host topologically protected corner states carrying fractional charge, exhibiting fractionalization at the boundary of the boundary. To characterize these insulating phases of matter, we introduce a paradigm in which “nested” Wilson loops give rise to topological invariants that have been overlooked. We propose three realistic experimental implementations of this topological behavior that can be immediately tested. Our work opens a venue for the expansion of the classification of topological phases of matter.en_US
dc.format.extent61 - 66en_US
dc.language.isoen_USen_US
dc.relation.ispartofSCIENCEen_US
dc.rightsAuthor's manuscripten_US
dc.titleQuantized electric multipole insulatorsen_US
dc.typeJournal Articleen_US
dc.identifier.doidoi:10.1126/science.aah6442-
dc.date.eissued2017-07-07en_US
dc.identifier.eissn1095-9203-
pu.type.symplectichttp://www.symplectic.co.uk/publications/atom-terms/1.0/journal-articleen_US

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