The periodic Anderson model is widely studied to understand strong correlation physics and especially the competition of antiferromagnetism and singlet formation. In this paper we extend quantum Monte Carlo work on lattices with uniform numbers of neighbors to geometries in which the conduction electron sites can have variable coordination $z$. This situation is relevant both to recently discovered magnetic quasicrystals and also to magnetism in doped heavy fermion systems. Our key results are the presence of antiferromagnetic order at weak interorbital hybridization $V_{fd}$, and a delay in singlet formation to larger values of $V_{fd}$ on sites with larger $z$. The staggered magnetization tends to be larger on sites with higher $z$, providing insight into the behavior to be expected in crown, dice, and CaVO lattices.

• Received 9 February 2016

DOI:https://doi.org/10.1103/PhysRevB.93.235143