We obtain the exact time evolution of the fermionic Falicov-Kimball model during a slow variation of the interaction parameter, using dynamical mean-field theory (DMFT) for nonequilibrium. For this purpose we adapt the DMFT equations which were derived for a sudden interaction quench [1] and solve them numerically. We analyze the dependence of the excitation energy on the ramp speed in the adiabatic limit, and find different power laws when the system is driven within the insulating phase, within the metallic phase, or between the two phases. Possible reasons for this behavior are discussed. [1]. Eckstein and M. Kollar, Phys. Rev. Lett. 100, 120404 (2008). |
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