Cellular Dynamical Mean Field Theory of the Periodic Anderson Model

Abstract

We develop a cluster dynamical mean field theory of the periodic Anderson model in three dimensions, taking a cluster of two sites as a basic reference frame. The mean field theory displays the basic features of the Doniach phase diagram: a paramagnetic Fermi liquid state, an antiferromagnetic state and a transition between them. In contrast with spin density wave theories, the transition is accompanied by a large increase of the effective mass everywhere on the Fermi surface and a substantial change of the Fermi surface shape across the transition. To understand the nature and the origin of the phases near the transition, we investigate the paramagnetic solution underlying the antiferromagnetic state, and identify the transition as a point where the $f$ electrons decouple from the conduction electrons undergoing an orbitally selective Mott transition. This point turns out to be intimately related to the two impurity Kondo model quantum critical point. In this regime, non local correlations become important and result in significant changes in the photoemission spectra and the de Haas-van Alphen frequencies. The transition involves considerable $f$ spectral weight transfer from the Fermi level to its immediate vicinity, rather than to the Hubbard bands as in single site DMFT.

7 pages, 7 figures

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• Multi-scale fluctuations near a Kondo Breakdown Quantum Critical Point
• Fermi Surface Properties, Metamgnetic Transition and Quantum Phase Transition of CeRu${}_2$Si${}_2$ and Its Alloys Probed by the dHvA Effect--Fermi Surface Studies on the Itinerant and Localized Dichotomy of $f$ Electron Nature
• Controlled bond expansion for DMRG ground state search at single-site costs
• Coherence scale of coupled Anderson impurities
• Charge order in Kondo lattice systems
• Strong coupling theory of heavy fermion criticality II
• Fermi-Surface Reconstruction in the Periodic Anderson Model
• Cluster Extended Dynamical Mean Field Approach and Unconventional Superconductivity
• Superconducting pairing of interacting electrons: implications from the two-impurity Anderson model
• Kondo breakdown in multi-orbital Anderson lattices induced by destructive hybridization interference
• Tunable magnetism of a hexagonal Anderson droplet on the triangular lattice