Coherence Temperature In The Diluted Periodic Anderson Model

The Kondo and periodic Anderson model (PAM) are known to provide a microscopic picture of many of the fundamental properties of heavy-fermion materials and, more generally, a variety of strong correlation phenomena in 4 f and 5 f systems. In this paper, we apply the determinant quantum Monte Carlo method to include disorder in the PAM, specifically the removal of a fraction x of the localized orbitals. We determine the evolution of the coherence temperature T*, where the local moments and conduction electrons become entwined in a heavy-fermion fluid, with x and with the hybridization V between localized and conduction orbitals. We recover several of the principal observed trends in T* of doped heavy fermions, and we also show that, within this theoretical framework, the calculated nuclear magnetic resonance relaxation rate tracks the experimentally measured behavior in pure and doped CeCoIn5. Our results contribute to important issues in the interpretation of local probes of disordered, strongly correlated systems.