Exploring the relaxation dynamics in the doped 2D Hubbard model

Orateur : Sharareh SAYYAD (Institut Néel-CNRS)

We theoretically investigate the effect of chemical doping on the real-time non-equilibrium dynamics of interacting electrons. For this purpose, we have developed a Keldysh generalization of the fluctuation-exchange approximation (FLEX) to explore the time-evolution after interaction ramps in the repulsive Hubbard model on the square lattice. We shall first present the real-time FLEX algorithm. We then discuss the relaxation dynamics of the system in both electron-doped and hole-doped regimes. In both regimes, the system evolves towards a thermal state that locally satisfies the fluctuation-dissipation theorem. We also describe how the details of the ramp protocol, i.e., duration of the ramp and the final Hubbard interaction, affect the relaxation dynamics of the system towards thermalization. Most importantly, we reveal the momentum-dependent relaxation rate and trace back its origin to the anisotropic self-energies in the momentum-space.

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