Magnetic Correlations in a Periodic Anderson Model with Non-Uniform Conduction Electron Coordination

Abstract

The Periodic Anderson Model (PAM) is widely studied to understand strong correlation physics and especially the competition of antiferromagnetism and singlet formation. Quantum Monte Carlo (QMC) studies have focused both on issues such as the nature of screening and locating the quantum critical point (QCP) at zero temperature and also on possible experimental connections to phenomena ranging from the Cerium volume collapse to the relation of the magnetic susceptibility and Knight shift in heavy fermions. In this paper we extend QMC work to lattices in which the conduction electron sites can have variable coordination. This situation is relevant both to recently discovered magnetic quasicrystals and also to magnetism in doped heavy fermion systems.

8 pages, 10 figures

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• Nature of Protected Zero Energy States in Penrose Quasicrystals
• Temperature and doping induced instabilities of the repulsive Hubbard model on Lieb lattice
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• Ground state properties of the periodic Anderson model with electron-phonon interactions
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