Nonlinear Optical Response Functions of Mott Insulators Based on Dynamical Mean Field Approximation

Abstract

We investigate the nonlinear optical susceptibilities of Mott insulators with the dynamical mean field approximation. The two-photon absorption (TPA) and the third-harmonic generation (THG) spectra are calculated, and the classification by the types of coupling to external fields shows different behavior from conventional semiconductors. The direct transition terms are predominant both in the TPA and THG spectra, and the importance of taking all types of interaction with the external field into account is illustrated in connection with the THG spectrum and dcKerr effect. The dependence of the TPA and THG spectra on the Coulomb interaction indicate a scaling relation. We apply this relation to the quantitative evaluation and obtain results comparable to those of experiments.

14 pages, 12 figures

References in corpus (5)

• Quantum Cluster Theories
• Ultrafast optical nonlinearity in quasi-one-dimensional Mott-insulator $\mathrm{S}{\mathrm{r}}_2\mathrm{Cu}{\mathrm{O}}_3$
• Nonlinear optical response and spin-charge separation in one-dimensional Mott insulators
• Dimensionality dependence of optical nonlinearity and relaxation dynamics in cuprates
• Dynamical mean field theory of optical third harmonic generation

Cited by in corpus (2)

• Nonlinear light-Higgs coupling in superconductors beyond BCS: Effects of the retarded phonon-mediated interaction
• Two-Photon Absorption by Impurity Scattering and Amplitude Mode in Conventional Superconductors