Anomalous effects in interacting spinless fermion systems with local disorder

Vlaming, R.; Uhrig, Götz S.; Vollhardt, D.

doi:10.1088/0953-8984/4/38/010

Cited by 15 publications

(19 citation statements)

References 29 publications

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“…The interplay of disorder and charge density wave formation was analyzed in a model of spinless fermions with nearest-neighbor interactions by Vlaming, Uhrig, and Vollhardt (1992) and Uhrig and Vlaming (1993; see also for the general formalism associated with disordered spinless fermion models in d=ϱ). In this model the limit of large lattice coordination reduces to the Hartree approximation, and hence one is really dealing with a static mean-field theory.…”

Section: Interplay Of Disorder and Sdw Or Cdw Orderingmentioning

confidence: 99%

Dynamical mean-field theory of strongly correlated fermion systems and the limit of infinite dimensions

Georges

Kotliar

Krauth³

et al. 1996

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We review the dynamical mean-field theory of strongly correlated electron systems which is based on a mapping of lattice models onto quantum impurity models subject to a self-consistency condition. This mapping is exact for models of correlated electrons in the limit of large lattice coordination (or infinite spatial dimensions). It extends the standard mean-field construction from classical statistical mechanics to quantum problems. We discuss the physical ideas underlying this theory and its mathematical derivation. Various analytic and numerical techniques that have been developed recently in order to analyze and solve the dynamical mean-field equations are reviewed and compared to each other. The method can be used for the determination of phase diagrams (by comparing the stability of various types of long-1 range order), and the calculation of thermodynamic properties, one-particle Green's functions, and response functions. We review in detail the recent progress in understanding the Hubbard model and the Mott metal-insulator transition within this approach, including some comparison to experiments on three-dimensional transition-metal oxides. We also present an overview of the rapidly developing field of applications of this method to other systems. The present limitations of the approach, and possible extensions of the formalism are finally discussed. Computer programs for the numerical implementation of this method are also provided with this article.

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Section: Interplay Of Disorder and Sdw Or Cdw Orderingmentioning

confidence: 99%

Dynamical mean-field theory of strongly correlated fermion systems and the limit of infinite dimensions

Georges

Kotliar

Krauth³

et al. 1996

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“…For U = 0 (W > 0) the model (2) is solved using a standard broken-symmetry Hartree-Fock approximation. The mean-field Hamiltonian is diagonalized by means of a Bogoliubov transformation 30,33,[62][63][64][65][66][67][68] . The resulting selfconsistent equations for the total occupation n and the charge polarization ∆ = 1 2 (n A −n B ) are:…”

Section: A Non-interacting Limitmentioning

confidence: 99%

Doping-driven metal-insulator transitions and charge orderings in the extended Hubbard model

et al. 2017

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We perform a thorough study of an extended Hubbard model featuring local and nearest-neighbor Coulomb repulsion. Using dynamical mean-field theory we investigated the zero temperature phasediagram of this model as a function of the chemical doping. The interplay between local and non-local interaction drives a variety of phase-transitions connecting two distinct charge-ordered insulators, i.e., half-filled and quarter-filled, a charge-ordered metal and a Mott insulating phase. We characterize these transitions and the relative stability of the solutions and we show that the two interactions conspire to stabilize the quarter-filled charge ordered phase.

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“…in the presence of local disorder was derived in [69]. In contrast to the Hubbard model spinless fermions with nearest-neighbor repulsion and local disorder can be treated analytically in the limit d, Z → ∞ for all input parameters [70,71].…”

Section: A Generalization Of the Dmft Equations For The Hubbard Modelmentioning

confidence: 99%

Dynamical mean‐field theory for correlated electrons

Vollhardt

2011

Annalen der Physik

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Electronic correlations strongly influence the properties of matter. For example, they can induce a discontinuous transition from conducting to insulating behavior. In this paper basic terms of the physics of correlated electrons are explained. In particular, I describe some of the steps that led to the formulation of a comprehensive, non-perturbative many-body approach to correlated quantum many-body systems, the dynamical mean-field theory (DMFT). The DMFT becomes exact in the limit of high lattice dimensions (d → ∞) and allows one to go beyond the investigation of simple correlation models and thereby better understand, and even predict, the properties of electronically correlated materials.

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Anomalous effects in interacting spinless fermion systems with local disorder

Cited by 15 publications

References 29 publications

Dynamical mean-field theory of strongly correlated fermion systems and the limit of infinite dimensions

Dynamical mean-field theory of strongly correlated fermion systems and the limit of infinite dimensions

Doping-driven metal-insulator transitions and charge orderings in the extended Hubbard model

Dynamical mean‐field theory for correlated electrons

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