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arXiv · 1811.11410

Momentum-dependent relaxation dynamics of the doped repulsive Hubbard model

Sharareh Sayyad·Naoto Tsuji·Abolhassan Vaezi·Massimo Capone·Martin Eckstein·Hideo Aoki
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Abstract

We study the dynamical behavior of doped electronic systems subject to a global ramp of the repulsive Hubbard interaction. We start with formulating a real-time generalization of the fluctuation-exchange approximation. Implementing this numerically, we investigate the weak-coupling regime of the Hubbard model both in the electron-doped and hole-doped regimes. The results show that both local and nonlocal (momentum-dependent) observables evolve toward a thermal state, although the temperature of the final state depends on the ramp duration and the chemical doping. We further reveal a momentum-dependent relaxation rate of the distribution function in doped systems, and trace back its physical origin to the anisotropic self-energies in the momentum space.

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Sharareh Sayyad, Naoto Tsuji, Abolhassan Vaezi, Massimo Capone, Martin Eckstein, Hideo Aoki. 2018-11-28. Momentum-dependent relaxation dynamics of the doped repulsive Hubbard model. https://doi.org/10.1103/physrevb.99.165132

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