Journal ArticleDOI
New functional integral approach to strongly correlated Fermi systems: The Gutzwiller approximation as a saddle point.
TLDR
This approach uncovers the limitations of the Gutzwiller approximation and clarifies its connection to the "auxiliary-boson" mean- field theory of the Anderson model, leading to a novel strong-coupling mean-field theory which allows for a unified treatment of antiferromagnetism and ferromagnets, metal-to-insulator transition, and Kondo compensation effects.Citations
More filters
Journal ArticleDOI
Dynamical mean-field theory of strongly correlated fermion systems and the limit of infinite dimensions
TL;DR: The dynamical mean field theory of strongly correlated electron systems is based on a mapping of lattice models onto quantum impurity models subject to a self-consistency condition.
Journal ArticleDOI
Electronic structure calculations with dynamical mean-field theory
Gabriel Kotliar,Sergey Y. Savrasov,Kristjan Haule,V. S. Oudovenko,Olivier Parcollet,Chris A. Marianetti +5 more
TL;DR: In this article, a review of the basic ideas and techniques of spectral density functional theory which are currently used in electronic structure calculations of strongly correlated materials where the one-dimensional electron description breaks down is presented.
Journal ArticleDOI
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.
Journal ArticleDOI
Review of techniques in the large-N expansion for dilute magnetic alloys
TL;DR: In this paper, a perturbative approach to the magnetic alloy problem based on expansion in $O(1)$ is presented, with $N$ representing the ionic angular momentum degeneracy.
Journal ArticleDOI
A renormalised Hamiltonian approach to a resonant valence bond wavefunction
TL;DR: In this article, the Gutzwiller approximation of the effective Hamiltonian of strongly correlated electrons on a square lattice is replaced by a renormalised Hamiltonian and the factors that renormalise the kinetic energy of holes and the Heisenberg spin-spin coupling are calculated using a Gutz-Willer approximation scheme.