Generalized Pitaevskii relation between rectifying and linear responses: its application to reciprocal magnetization induction

Abstract

Nonlinear optics has regained attention in recent years, especially in the context of optospintronics and topological materials. Nonlinear responses involved in various degrees of freedom manifest their intricacy more pronounced than linear responses. However, for a certain class of nonlinear responses, a connection can be established with linear-response coefficients, enabling the exploration of diverse nonlinear-response functionality in terms of the linear-response counterpart. Our study quantum-mechanically elucidates the relation between such nonlinear and linear responses we call the Pitevskii relation and identifies the condition for the relation to hold. Following the obtained general formulation, we systematically identify the Pitaevskii relations such as the inverse magnetoelectric effect and inverse natural optical activity unique to systems manifesting the space-inversion-symmetry breaking. These results provide a systematic understanding of intricate nonlinear responses and may offer further implications to ultrafast spintronics.

20 pages, 6 figures, 2 tables

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Cited by in corpus (3)

• Magnetization reversal of a ferromagnetic Pt/Co/Pt film by helicity dependent absorption of visible to near-infrared laser pulses
• Nonlinear optical responses in superconductors under magnetic fields: quantum geometry and topological superconductivity
• Formulation of the orbital magnetic moment in multiorbital tight-binding models: Application to the inverse Faraday effect