1999/04/06 by V. Janiš, V. Janis · 13 citations
Mathematics · Physics and Astronomy · #Combinatorics #Field (mathematics) #Field theory (psychology) #Limit (mathematics) #Mathematical analysis #Mathematical physics #Mathematics #Mean field theory #Momentum (technical analysis) #Physics #Physics of Superconductivity and Magnetism #Pure mathematics #Quantum and electron transport phenomena #Quantum field theory #Quantum mechanics #Statistical physics #Theoretical and Computational Physics #Thermodynamic limit #Vertex (graph theory) #cond-mat.str-el
paper · pdf · doi:10.1103/physrevlett.83.2781
published in Physical Review Letters 83(14), 2781-2784 (American Physical Society) · REVTeX, 4 pages, 2 EPS figures
arxiv created 1999/04/06 · openalex publication_date 1999/10/04 · openalex created_date 2016/06/24 · arxiv updated 2016/08/31 · openalex updated_date 2026/08/05
The question of the thermodynamic consistence of mean-field theories for lattice itinerant models defined from the asymptotic limit of high spatial dimensions is addressed. We show that the local ansatz for the self-energy and the thermodynamic potential generating all physical quantities via functional derivatives does not lead to the complete high-dimensional asymptotics of correlation and vertex functions. This can be achieved only if either regular nonlocal or anomalous local external sources, order parameters, are introduced in the generating functional. The full vertex function then gives rise to new quantum phases and nontrivial corrections to the conductivity.