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Book ChapterDOI

The Mott Transition in Infinite Dimensions: Old Ideas and Some Surprises

Gabriel Kotliar, +1 more
- pp 155-166
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In this paper, the Mott transition in the limit of large dimensions is studied systematically in the context of large-scale 3D models. And they describe recent results and new insights in this field.
Abstract: 
The Mott transition phenomena can be studied systematically in the limit of large dimensions. We describe recent results and new insights in this field.

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Journal ArticleDOI

Mott Transition, Ferromagnetism and Conductivity in the Generalized Hubbard Model

Yu. Skorenkyy, +3 more
- 01 Apr 2007 - 
TL;DR: In this article, the electron correlations in narrow energy bands are examined within the framework of the Hubbard model, generalized by taking into account the correlated hopping of electrons Electronic conductivity and ferromagnetic ordering stabilization in the system with various forms of electronic density of states are studied.
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Electron correlations in narrow energy bands: ground state energy and metal-insulator transition

L. Didukh, +1 more
- 10 May 2000 - 
TL;DR: In this article, the electron correlations in narrow energy bands are examined in framework of the Hubbard model and the singleparticle Green function and energy spectrum are obtained in paramagnetic state at half-filling by means of new two-pole approximation.
References
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Journal ArticleDOI

Correlated lattice fermions in d=∞ dimensions

Walter Metzner, +1 more
- 16 Jan 1989 - 
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

The transition to the metallic state

Nevill Mott
- 01 Feb 1961 - 
TL;DR: In this paper, an account of the theory that a crystalline or non-crystalline array of atoms will make a transition from the metallic to the non-metallic state as the interatomic distance is varied is given.
Journal ArticleDOI

Hubbard model in infinite dimensions

Antoine Georges, +1 more
- 15 Mar 1992 - 
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}.
Journal ArticleDOI

Filling dependence of electronic properties on the verge of metal–Mott-insulator transition in Sr 1 − x La x TiO 3

Y. Tokura, +6 more
- 05 Apr 1993 - 
TL;DR: Systematic variation of electronic properties in Sr 1-x La x TiO 3 was investigated as a function of the 3d band filling (x) by measurements of resistivity, Hall coefficient, magnetic susceptibility, and specific heat.
Journal ArticleDOI

Hubbard model in infinite dimensions: A quantum Monte Carlo study.

Mark Jarrell
- 06 Jul 1992 - 
TL;DR: An essentially exact solution of the infinite-dimensional Hubbard model is made possible by a new self-consistent Monte Carlo procedure near half filling antiferromagnetism and a pseudogap in the single-particle density of states.