Dynamical mean-field theory for perovskites

Journal Article · Thu Aug 01 04:00:00 EDT 1996 · Physical Review, B: Condensed Matter

DOI:https://doi.org/10.1103/PhysRevB.54.5317· OSTI ID:383210

Lombardo, P ^[1]; Schmalian, J ^[2]; Avignon, M ^[1]; Bennemann, K ^[2]

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1. Laboratoire d`Etudes des Proprietes Electroniques des Solides--CNRS, Boite Postale 166, 38042 Grenoble Cedex 9 (France)
2. Institut fuer Theoretische Physik, Freie Universitaet Berlin, Arnimallee 14, 14195 Berlin (Germany)

Using the Hubbard Hamiltonian for transition-metal 3{ital d} and oxygen 2{ital p} states with perovskite geometry, we present a dynamical mean-field theory that becomes exact in the limit of large coordination numbers or equivalently large spatial dimensions {ital D}. The theory is based on a description of these systems for large {ital D} using a selective treatment of different hopping processes, which cannot be generated by a unique scaling of the hopping element. The model is solved using a perturbational approach and an extended noncrossing approximation. We discuss the origin of the various 3{ital d} and 2{ital p} bands, the doping dependence of its spectral weight, and the evolution of quasiparticles at the Fermi level upon doping, leading to interesting insight into the dynamical character of the charge carriers near the metal insulator instability of transition-metal oxide systems, three-dimensional perovskites, and other strongly correlated transition-metal oxides. {copyright} {ital 1996 The American Physical Society.}

• OSTI ID: 383210
• Journal Information: Physical Review, B: Condensed Matter, Journal Name: Physical Review, B: Condensed Matter Journal Issue: 8 Vol. 54; ISSN 0163-1829; ISSN PRBMDO
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
ELECTRON CORRELATION
ELECTRONIC STRUCTURE
HIGH-TC SUPERCONDUCTORS
HUBBARD MODEL
MEAN-FIELD THEORY
METAL-INSULATOR TRANSFORMATIONS
PEROVSKITES
PERTURBATION THEORY
QUASI PARTICLES
SCALING LAWS