Nonlinear Optical Response of Spin Density Wave Insulators

Abstract

We calculate the third order nonlinear optical response in the Hubbard model within the spin density wave (SDW) mean field ansatz in which the gap is due to onsite Coulomb repulsion. We obtain closed-form analytical results in one dimension (1D) and two dimension (2D), which show that nonlinear optical response in SDW insulators in 2D is stronger than both 3D and 1D. We also calculate the two photon absorption (TPA) arising from the stress tensor term. We show that in the SDW, the contribution from stress tensor term to the low-energy peak corresponding to two photon absorption becomes identically zero if we consider the gauge invariant current properly.

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References in corpus (4)

• From band insulator to Mott insulator in one dimension
• Nonlinear optical response and spin-charge separation in one-dimensional Mott insulators
• Optical absorption of non-interacting tight-binding electrons in a Peierls-distorted chain at half band-filling
• Zero frequency divergence and gauge phase factor in the optical response theory

Cited by in corpus (5)

• Nonlinear optical response in gapped graphene
• Third-order Optical Nonlinearity in Two-dimensional Transition Metal Dichalcogenides
• Dynamical mean field theory of optical third harmonic generation
• Kerr and Faraday rotations in topological flat and dispersive band structures
• Effect of Kondo resonance on optical third harmonic generation