Impurities near an Antiferromagnetic-Singlet Quantum Critical Point

Abstract

Heavy fermion systems, and other strongly correlated electron materials, often exhibit a competition between antiferromagnetic (AF) and singlet ground states. Using exact Quantum Monte Carlo (QMC) simulations, we examine the effect of impurities in the vicinity of such AF- singlet quantum critical points, through an appropriately defined impurity susceptibility, ${\chi }_{imp}$. Our key finding is a connection, within a single calculational framework, between AF domains induced on the singlet side of the transition, and the behavior of the nuclear magnetic resonance (NMR) relaxation rate $1/T_1$. We show that local NMR measurements provide a diagnostic for the location of the QCP which agrees remarkably well with the vanishing of the AF order parameter and large values of ${\chi }_{imp}$. We connect our results with experiments on Cd-doped CeCoIn${}_5$.

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Cited by in corpus (6)

• Random-Singlet Phase in Disordered Two-Dimensional Quantum Magnets
• Intrinsic dimension of path integrals: data mining quantum criticality and emergent simplicity
• Compressible Ferrimagnetism in the depleted Periodic Anderson Model
• Local Spectroscopies Reveal Percolative Metal in Disordered Mott Insulators
• Coherence Temperature in the Diluted Periodic Anderson Model
• Tunable magnetism of a hexagonal Anderson droplet on the triangular lattice