Theoretical description of time-resolved photoemission spectroscopy: application to pump-probe experiments

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L. P. Kadanoff and G. Baym, Quantum Statistical Mechanics
1962
Earlier work this paper cites.
A, Georges, et al
1996
Earlier work this paper cites.

L. Perfetti, et al
2007
Cited alongside, same era.
L. Perfetti, et al
2008
Cited alongside, same era.
M M is essentially the one electron matrix element ⟨ k → e | ( i e ℏ A → p r o b e / m e c ) ⋅ ∇ | k → ⟩ \langle\vec{k}_{e}|(ie\hbar{\vec{A}}_{probe}/m_{e}c)\cdot\nabla|\vec{k}\rangle . In writing Eq. ( 4
Cited in the paper.
In real pump-probe experiments, t ¯ \bar{t} determines the time delay, and hence the effective electron temperature T e l T_{el} in a quasiequilibrium description, but thereafter plays no further role. I I can then also be expressed as the frequency domain convolution lim t → ∞ lim t 0 → − ∞ I ( t , ω , k ^ e ) = − i ∫ d ν G k → ∥ < ( ω − ν ) ) | s ~ ( ν ) | 2 / 2 π \lim_{t\rightarrow\infty}\lim_{t_{0}\rightarrow-\infty}I(t,\omega,\hat{k}_{e})=-i\int d\nu G_{{\vec{k}}_{\parallel}}^{<}(\omega-\nu))\left|{\tilde{s}}(\nu)\right|^{2}/2\pi where s ~ ( ν ) {\tilde{s}}(\nu) is the Fourier transform of s ⁡ ( t ′ ) s(t^{\prime})
Cited in the paper.

R. Bulla, T. A. Costi and Th. Pruschke, Rev. Mod. Phys. 80
2008
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