Mott transition of the f-electron system in the periodic Anderson model with nearest neighbor hybridization

Abstract:

We show analytically that, under certain assumptions, the periodic Anderson model and the Hubbard model become equivalent within the dynamical mean field theory for quasiparticle weight Z → 0. A scaling relation is derived which is validated numerically using the numerical renormalization group at zero temperature and quantum Monte Carlo simulations at finite temperatures. Our results show that the ƒ-electrons of the half-filled periodic Anderson model with nearest neighbor hybridization get localized at a finite critical interaction strength U _c, also at zero temperature. This transition is equivalent to the Mott-transition in the Hubbard model.