Impact ionization and multiple photon absorption in the two-dimensional photoexcited Hubbard model

Maislinger, Florian; Evertz, Hans Gerd

doi:10.1103/physrevb.105.045114

Cited by 6 publications

(1 citation statement)

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“…An impulsive excitation of the Mott insulator can lead to the creation of doublons (doubly occupied sites in the Mott insulator) and empty sites, which becomes evident through occupation in the upper Hubbard band. If the excess energy of the excited particles is larger than the band gap, a conversion of high energy doublons to low energy doublons can occur via the excitation of additional doublon-hole pairs across the Mott gap [67][68][69][70][71]. The discussion of such an "impact ionization" based on the KBE has been previously limited to the early stages of the dynamics (see Ref.…”

Section: B Impact Ionization In the Mott-insulatormentioning

confidence: 99%

Memory truncated Kadanoff-Baym equations

Stahl

Dasari

et al. 2022

Phys. Rev. B

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The Keldysh formalism for nonequilibrium Green's functions is a powerful theoretical framework for the description of the electronic structure, spectroscopy, and dynamics of strongly correlated systems. However, the underlying Kadanoff-Baym equations (KBE) for the two-time Keldysh Green's functions involve a memory kernel, which results in a high computational cost for long simulation times t max , with a cubic scaling of the computation time with t max . Truncation of the memory kernel can reduce the computational cost to linear scaling with t max , but the required memory times will depend on the model and the diagrammatic approximation to the self-energy. We explain how a truncation of the memory kernel can be incorporated into the time-propagation algorithm to solve the KBE, and investigate the systematic truncation of the memory kernel for the Hubbard model in different parameter regimes, and for different diagrammatic approximations. The truncation is easier to control within dynamical mean-field solutions, where it is applied to a momentum-independent self-energy.Here, simulation times up to two orders of magnitude longer are accessible both in the weak and strong coupling regime, allowing for a study of long-time phenomena such as the crossover between prethermalization and thermalization dynamics.

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