Extended dynamic Mott-transition in the two-band Hubbard model out of equilibrium

Abstract

We reformulate the time-dependent Gutzwiller approximation by M. Schiró and M. Fabrizio [Phys. Rev. Lett. 105, 076401 (2010)] in the framework of slave-boson mean-field theory, which is used to investigate the dynamical Mott transition of the generic two-band Hubbard model at half filling upon an interaction quench. Interorbital fluctuations lead to notable changes with respect to the single-band case. The singular dynamical transition is replaced by a broad regime of long-lived fluctuations between metallic and insulating states, accompanied by intriguing precursor behavior. A mapping to a spin model proves helpful to analyze the different regions in terms of the evolution of an Ising-like order parameter. Contrary to the static case, singlet occupations remain vital in the Mott-insulating regime with finite Hund's exchange.

5 pages, 6 figures

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• Hund's coupling driven photo-carrier relaxation in the two-band Mott insulator
• Photo-induced nonequilibrium states in Mott insulators
• Rigorous symmetry adaptation of multiorbital rotationally invariant slave-boson theory with application to Hund's rules physics
• Large-amplitude spin oscillations triggered by nonequilibrium strongly correlated $t_{2g}$ electrons
• Versatile Approach to the Spin Dynamics in Correlated Electron Systems
• Charge self-consistent density functional theory plus ghost rotationally-invariant slave-boson theory for correlated materials
• Time-dependent Mott transition in the periodic Anderson model with nonlocal hybridization