Please use this identifier to cite or link to this item: https://hdl.handle.net/10356/156748
Title: Anomalous Higgs oscillations mediated by Berry curvature and quantum metric
Authors: Villegas, Kristian Hauser A.
Yang, Bo
Keywords: Science::Physics
Issue Date: 2021
Source: Villegas, 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.L180502
Project: NRF-NRFF12- 2020-0005
NTU SUG grant 
MOE2018-T3-1-002
Journal: Physical Review B
Abstract: Higgs 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.
URI: https://hdl.handle.net/10356/156748
ISSN: 2469-9950
DOI: 10.1103/PhysRevB.104.L180502
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.
Fulltext Permission: open
Fulltext Availability: With Fulltext
Appears in Collections:SPMS Journal Articles

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