A perturbative derivation shows that X-ray-optical nonlinear signals in crystals carry a band-structure contribution, the joint density of states, separable from atomic-scale Wannier function contributions by polarization.
The temporal part of the second order current density can be Fourier expended ⟨j⟩(2) (x, t ) = 1 2 ∑ l,l ′ ⟨j⟩(2) (x; ω l + ω l′ )e− i(ω l+ω l′ )t
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Theory of nonlinear interactions between x rays and optical radiation in crystals
A perturbative derivation shows that X-ray-optical nonlinear signals in crystals carry a band-structure contribution, the joint density of states, separable from atomic-scale Wannier function contributions by polarization.