Journal Article10.1103/PHYSREVLETT.72.1545
Exact diagonalization approach to correlated fermions in infinite dimensions: Mott transition and superconductivity.
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Citations
Metallic surface of a bipolaronic insulator
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Extended Hubbard model: Charge ordering and Wigner-Mott transition
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Mott transitions in the multi-orbital systems
TL;DR: In this paper, the stability of the Mott transition in the two-orbital Hubbard model with different bandwidths was investigated by combining dynamical mean field theory with exact diagonalization, and it was shown that separate Mott transitions occur at different Coulomb interaction strengths.
Finite-temperature exact diagonalization cluster dynamical mean-field study of the two-dimensional Hubbard model: Pseudogap, non-Fermi-liquid behavior, and particle-hole asymmetry
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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.
2.4K
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}.
1.1K
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.
864
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.