期刊
JOURNAL OF STATISTICAL PHYSICS
卷 181, 期 6, 页码 2050-2070出版社
SPRINGER
DOI: 10.1007/s10955-020-02654-5
关键词
Optical conductivity; Response theory; Nonlinear response
资金
- MEXT/JSPS KAKENHI [JP19H01808, JP17H06462]
- JST CREST, Japan [JPMJCR19T2]
- JST PRESTO [JPMJPR18LA]
The optical conductivity is the basic defining property of materials characterizing the current response toward time-dependent electric fields. In this work, following the approach of Kubo's response theory, we study the general properties of the nonlinear optical conductivities of quantum many-body systems both in equilibrium and non-equilibrium. We obtain an expression of the second- and the third-order optical conductivity in terms of correlation functions and present a perturbative proof of the generalized Kohn formula proposed recently. We also discuss a generalization of thef-sum rule to a non-equilibrium setting by focusing on the instantaneous response.
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