Coherence Temperature in the Diluted Periodic Anderson Model

Abstract

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 $4f$ and $5f$ systems. In this paper, we apply the Determinant Quantum Monte Carlo (DQMC) 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 $T^{\ast }$, 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 $T^{\ast }$ of doped heavy fermions, and also show that, within this theoretical framework, the calculated Nuclear Magnetic Resonance (NMR) relaxation rate tracks the experimentally measured behavior in pure and doped CeCoIn${}_5$. Our results contribute to important issues in the interpretation of local probes of disordered, strongly correlated systems.

arXiv comment8 pages, 4 figures

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• Learning quantum phase transitions through Topological Data Analysis
• Hybridization fluctuations in the half-filled periodic Anderson model
• Local Spectroscopies Reveal Percolative Metal in Disordered Mott Insulators
• Determinant Quantum Monte Carlo Study of Exhaustion in the Periodic Anderson Model
• Hyperfine Couplings as a Probe of Orbital Anisotropy in Heavy Fermion Materials
• Terahertz Electrodynamics of Mixed-Valent YbAl${}_3$ and LuAl${}_3$ Thin Films
• Spin-orbit coupled periodic Anderson model: Kondo-Dirac semimetal and orbital-selective antiferromagnetic semimetal