Linear and nonlinear optical responses in Green's function formula

2025/08/10 by Maoyuan Wang, Jianhui Zhou, Wang, Maoyuan +3
Engineering · Physics and Astronomy · #FOS: Physical sciences #Materials Science (cond-mat.mtrl-sci) #Nonlinear Photonic Systems #Plasmonic and Surface Plasmon Research #Quantum Mechanics and Non-Hermitian Physics

paper · pdf · doi:10.48550/arxiv.2508.07280

openalex publication_date 2025/08/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Linear and nonlinear optical effect has been widely discussed in large quantity of materials using theoretical or experimental methods. Except linear optical conductivity, higher-order nonlinear responses are not studied fully. Starting from density operator method, we derive optical conductivities of different orders in Green's function formula, and also connect them to novel physical quantities, such as Berry curvature, Berry curvature dipole, third-order nonlinear Hall conductivity and so on. Based on the advantages of Green's function formulas, we believe that these formulas have a lot of benefits for many-body effect study in high-order nonlinear optical responses.

Citations

• Semiclassical Dynamics and Nonlinear Charge Current
• Berry Phase Effects on Electronic Properties
• Semiclassical theory of the photogalvanic effect in non-centrosymmetric systems

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