Nonlinear Optical Response of Spin Density Wave Insulators

Details Nonlinear Optical Response of Spin Density Wave Insulators Nonlinear Optical Response of Spin Density Wave Insulators

2005-07-24

arxiv.org/abs/cond-mat/0507556v2

JPSJ, vol 75, p. 054703 (2006)

Physics

Condensed Matter

Strongly Correlated Electrons

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Scientific paper

10.1143/JPSJ.75.054703

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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