Berry连接和曲率
物理
费米面
望远镜
量子振荡
二次谐波产生
凝聚态物理
拓扑(电路)
高次谐波产生
量子力学
费米能量
费米气体
量子
数学
电子
组合数学
激光器
作者
Pankaj Bhalla,Kamal Das,Dimitrie Culcer,Amit Agarwal
标识
DOI:10.1103/physrevlett.129.227401
摘要
Nonlinear responses are actively studied as probes of topology and band geometric properties of solids. Here, we show that second harmonic generation serves as a probe of the Berry curvature, quantum metric, and quantum geometric connection. We generalize the theory of second harmonic generation to include Fermi surface effects in metallic systems, and finite scattering timescale. In doped materials the Fermi surface and Fermi sea cause all second harmonic terms to exhibit resonances, and we identify two novel contributions to the second harmonic signal: a double resonance due to the Fermi surface and a higher-order pole due to the Fermi sea. We discuss experimental observation in the monolayer of time reversal symmetric Weyl semimetal WTe_{2} and the parity-time reversal symmetric topological antiferromagnet CuMnAs.
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