Please use this identifier to cite or link to this item: https://hdl.handle.net/10356/156748
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dc.contributor.authorVillegas, Kristian Hauser A.en_US
dc.contributor.authorYang, Boen_US
dc.date.accessioned2022-04-21T04:05:59Z-
dc.date.available2022-04-21T04:05:59Z-
dc.date.issued2021-
dc.identifier.citationVillegas, K. H. A. & Yang, B. (2021). Anomalous Higgs oscillations mediated by Berry curvature and quantum metric. Physical Review B, 104(18), L180502-. https://dx.doi.org/10.1103/PhysRevB.104.L180502en_US
dc.identifier.issn2469-9950en_US
dc.identifier.urihttps://hdl.handle.net/10356/156748-
dc.description.abstractHiggs spectroscopy, the study of Higgs bosons of a superconductor, is an emerging field in studying superconductivity. Here we show that the Berry curvature and the quantum metric of bands play a central role in the Higgs mode generation. They allow the detection of Higgs bosons even when the conventional contribution from the band curvature vanishes. Furthermore, we show that the Higgs mode can couple to the external electromagnetic field linearly when mediated by the Berry connection. As a result, we predict the existence of a second harmonic generation, in addition to the well-known third harmonic generation. We elucidate our theory further by considering a flat band superconductor realized by the Harper-Hubbard model and show that the geometric Higgs mode is lower bounded by the band Chern number. We demonstrate in twisted bilayer graphene the existence of the geometrically induced Higgs modes when superconductivity is realized in the nearly flat band at the magic angle.en_US
dc.description.sponsorshipMinistry of Education (MOE)en_US
dc.description.sponsorshipNanyang Technological Universityen_US
dc.description.sponsorshipNational Research Foundation (NRF)en_US
dc.language.isoenen_US
dc.relationNRF-NRFF12- 2020-0005en_US
dc.relationNTU SUG granten_US
dc.relationMOE2018-T3-1-002en_US
dc.relation.ispartofPhysical Review Ben_US
dc.rights© 2021 American Physical Society. All rights reserved. This paper was published in Physical Review B and is made available with permission of American Physical Society.en_US
dc.subjectScience::Physicsen_US
dc.titleAnomalous Higgs oscillations mediated by Berry curvature and quantum metricen_US
dc.typeJournal Articleen
dc.contributor.schoolSchool of Physical and Mathematical Sciencesen_US
dc.contributor.organizationInstitute of High Performance Computing, A*STARen_US
dc.identifier.doi10.1103/PhysRevB.104.L180502-
dc.description.versionSubmitted/Accepted versionen_US
dc.identifier.scopus2-s2.0-85119334432-
dc.identifier.issue18en_US
dc.identifier.volume104en_US
dc.identifier.spageL180502en_US
dc.subject.keywordsSueprconductivityen_US
dc.subject.keywordsHiggs Bosonen_US
dc.description.acknowledgementThis work is supported by the Singapore National Research Foundation (NRF) under NRF fellowship Award NRF-NRFF12-2020-0005, a Nanyang Technological University start-up grant (NTU-SUG), and Singapore Ministry of Education MOE2018-T3-1-002.en_US
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