Berry曲率和量子度规介导的反常Higgs振荡
Anomalous Higgs oscillations mediated by Berry curvature and quantum metric
摘要：
希格斯谱学是研究超导体中希格斯玻色子玻色子的一个新兴领域。在这里，我们表明，贝瑞曲率和量子度规的带中发挥了核心作用的希格斯模式的产生。它们允许检测到希格斯玻色子玻色子，即使当带曲率的传统贡献消失时。此外，我们表明，希格斯模式可以耦合到外部电磁场线性时，介导的Berry连接。因此，我们预测存在的第二谐波产生，除了众所周知的三次谐波产生。通过考虑由Harper-哈伯德模型实现的平带超导体进一步阐明了我们的理论，并证明了几何Higgs模是由能带Chern数下界的.我们证明了在扭曲的双层石墨烯中，当在魔角处的近平带中实现超导时，几何诱导的Higgs模的存在。
英文摘要：
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.
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