Resonant Second-Harmonic Generation as a Probe of Quantum Geometry,Physical Review Letters

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Resonant Second-Harmonic Generation as a Probe of Quantum Geometry
Physical Review Letters ( IF 8.1 ) Pub Date : 2022-11-23 , DOI: 10.1103/physrevlett.129.227401
Pankaj Bhalla _{1,

2,

3} , Kamal Das ₄ , Dimitrie Culcer _{3,

5} , Amit Agarwal ₄

Affiliation

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.

中文翻译：

谐振二次谐波产生作为量子几何的探针

非线性响应作为固体拓扑和能带几何特性的探针得到了积极的研究。在这里，我们证明二次谐波的产生可以作为贝里曲率、量子度量和量子几何联系的探针。我们将二次谐波产生理论概括为包括金属系统中的费米表面效应和有限散射时间尺度。在掺杂材料中，费米面和费米海导致所有二次谐波项表现出共振，并且我们确定了对二次谐波信号的两个新贡献：费米面引起的双共振和费米海引起的高阶极点。我们讨论了单层时间反演对称Weyl半金属的实验观察

{WTe}_{2}

和宇称时间反转对称拓扑反铁磁体 CuMnAs。

更新日期：2022-11-23

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