Journal Article10.1103/PHYSREVLETT.72.1545
Exact diagonalization approach to correlated fermions in infinite dimensions: Mott transition and superconductivity.
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Citations
Mott p-n junctions in layered materials
TL;DR: In this article, a dynamical layer theory was proposed to estimate the charge redistribution at the final step from minimization of a function of the layer fillings, in the spirit of Thomas-Fermi theory.
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References
Correlated lattice fermions in d=∞ dimensions
Walter Metzner,Dieter Vollhardt +1 more
TL;DR: In this paper, a new approach to correlated Fermi systems such as the Hubbard model, the periodic Anderson model etc. is discussed, which makes use of the limit of high spatial dimensions.
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Hubbard model in infinite dimensions
Antoine Georges,Gabriel Kotliar +1 more
TL;DR: This work presents an exact mapping of the Hubbard model in infinite dimensions onto a single-impurity Anderson (or Wolff) model supplemented by a self-consistency condition, which provides a mean-field picture of strongly corrrelated systems, which becomes exact as d\ensuremath{\rightarrow}\ensure math{\infty}.
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Monte Carlo Method for Magnetic Impurities in Metals
J. E. Hirsch,R. M. Fye +1 more
TL;DR: A Monte Carlo algorithm to study properties of dilute magnetic alloys can treat a small number of magnetic impurities interacting wiith the conduction electrons in a metal, showing the expected universal behavior at low temperatures.
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Mott transition in the d =∞ Hubbard model at zero temperature
TL;DR: Using a combination of perturbation theory and quantum Monte Carlo, this work elucidate the behavior of the single-particle Green's function and the local spin-spin correlation function near the Mott transition in the infinite dimensional Hubbard model at half filling.
359
Numerical solution of the d = ∞ Hubbard model : evidence for a Mott transition
Antoine Georges,Werner Krauth +1 more
TL;DR: The imaginary-time Green's function, the density of doubly occupied sites, and the compressibility close to half filling present direct evidence for a Mott insulating phase above a critical value of U.