2007/02/28 by Lorenzo De Leo, Marcello Civelli, Gabriel Kotliar · 47 citations
Physics and Astronomy · #Anderson impurity model #Antiferromagnetism #Condensed matter physics #Electron #Fermi liquid theory #Fermi surface #Hubbard model #Mott transition #Paramagnetism #Phase transition #Physics #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Quantum critical point #Quantum mechanics #Quantum phase transition #Rare-earth and actinide compounds #Spin (aerodynamics) #Strongly correlated material #Superconductivity #Transition point #cond-mat.str-el
paper · pdf · doi:10.1103/physrevb.77.075107
published in Physical Review B 77(7) (American Physical Society) · 7 pages, 7 figures
openalex publication_date 2008/02/08 · arxiv created 2009/01/18 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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, nonlocal 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 dynamical mean-field theory.