Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

arXiv:cond-mat/9811213 · physica status solidi (b)

Metal-Insulator Transition in a Generalized Hubbard Model with Correlated Hopping at Half-Filling

L. Didukh, V. Hankevych

Published Feb 1, 1999• 7 citations
arXivHTMLPDF

Abstract

In the present paper the metal–insulator transition is studied in a generalized Hubbard model with correlated hopping at half-filling and zero temperature. Single-particle Green function and energy spectrum of the electron system are calculated. The expressions for the energy gap width and the concentration of polar states (holes or doublons) are obtained. The conditions for metallic and insulating states are found.

DOI
10.1002/(sici)1521-3951(199902)211:2<703::aid-pssb703>3.0.co;2-1

Related papers

A New Two-Pole Approximation in the Hubbard Model. Metal-Insulator Transition

L. Didukh

A new two-pole approximation, which allows to describe the transition from an insulating state to a metallic one at increase of bandwidth, and also the observable in some compounds transition from a metalic state to an insulating one with increasing temperature, is presented. The case of a paramagnetic narrow-band material at half-filling is considered. Single-particle Green function and energy spectrum of electron system are calculated. The expressions for energy gap width and the concentration of polar states (holes or doublons) are obtained. The conditions for metallic and insulating states are found.

arXiv:cond-mat/0002334•Feb 22, 2000•0 citations

ENERGY GAP IN THE HUBBARD MODEL

L. Didukh, Yu. Dovhopyaty, Yuriy Skorenkyy

A new variant of the generalized Hartree–Fock approximation for calculation of single-particle Green function in the Hubbard model is proposed. The calculated single-particle energy spectrum allows to study metal–insulator transition. Dependences of the energy gap width and the polar states concentration on model parameters are obtained. Conditions of a metallic and an insulating state realisation are found.

International Journal of Modern Physics B•Mar 20, 2000•0 citations

On Chemical Potential of a Generalized Hubbard Model with Correlated Hopping at Half-Filling

L. Didukh, V. Hankevych

In the present paper we study chemical potential of a generalized Hubbard model with correlated hopping at half-filling using a generalized mean-field approximation. For the special case of the model the approach reproduces the exact results: metal-insulator transition, ground state energy. Chemical potential of generelized Hubbard model with correlated hoppig as function of hopping integrals at zero temperature is found. It is shown that chemical potential of the model is temperature-dependent. The dependences of chemical potential of a generalized Hubbard model with correlated hopping on the model parameters are different in metallic and insulating phases leading to a kink at the point of metal-insulator transition in the ground state. With the increase of temperature the kink in the chemical potential curve disappears. The obtained results differ from those of the Hubbard model indicating the important role of correlated hopping.

arXiv:cond-mat/9910068•Oct 6, 1999•0 citations

Single-particle spectral function of a generalized Hubbard model: Metal-insulator transition

Eduardo R. Gagliano, Armando A. Aligia, Liliana Arrachea +1 more

A generalized Hubbard model with correlated hoppings is studied at half filling using exact diagonalization methods. For certain values of the hopping parameters our results for several static properties, the Drude weight and the single-particle spectra function, suggest the occurrence of a metal-insulator transition (MIT) at a finite value of the local Coulomb interaction ${\mathit{U}}_{\mathit{c}}$. We identify the regions of the hopping parameters where the MIT is of the Mott type. In these regions, for large U${\mathit{U}}_{\mathit{c}}$, we find a ferromagnetic ground state.

Physical review. B, Condensed matter•May 15, 1995•26 citations

Critical Properties of the Mott Transition in the Hubbard Model

Goetz Moeller, Qimiao Si A, Gabriel Kotliar +1 more

We introduce a systematic low-energy approach to strongly correlated electron systems in infinite dimensions, and apply it to the problem of the correlation-induced metal-insulator transition in the half-filled Hubbard model. We determine the low-energy scaling functions of the metallic state, including the single-particle Green function and dynamical spin susceptibility, as well as thermodynamic properties and relate them to experimental data in transition metal oxides.

arXiv:cond-mat/9402047•Feb 10, 1994•0 citations

Critical Behavior near the Mott Transition in the Hubbard Model

Goetz Moeller, Qimiao Si A, Gabriel Kotliar +2 more

We introduce a systematic approach to analyze the low-energy behavior of strongly correlated electron systems in infinite dimensions, and apply it to the metal-insulator transition in the half-filled Hubbard model. We determine the low-energy scaling functions of the metallic state, including the single-particle Green function and dynamical spin susceptibility, as well as thermodynamic properties. Comparisons are made with experimental data on transition metal oxides.

Physical Review Letters•Mar 13, 1995•120 citations
In the present paper the metal–insulator transition is studied in a generalized Hubbard model with correlated hopping at half-filling and zero temperature. Single-particle Green function and energy spectrum of the electron system are calculated. The expressions for the energy gap width and the concentration of polar states (holes or doublons) are obtained. The conditions for metallic and insulating states are found.
A new two-pole approximation, which allows to describe the transition from an insulating state to a metallic one at increase of bandwidth, and also the observable in some compounds transition from a metalic state to an insulating one with increasing temperature, is presented. The case of a paramagnetic narrow-band material at half-filling is considered. Single-particle Green function and energy spectrum of electron system are calculated. The expressions for energy gap width and the concentration of polar states (holes or doublons) are obtained. The conditions for metallic and insulating states are found.
In the present paper we study chemical potential of a generalized Hubbard model with correlated hopping at half-filling using a generalized mean-field approximation. For the special case of the model the approach reproduces the exact results: metal-insulator transition, ground state energy. Chemical potential of generelized Hubbard model with correlated hoppig as function of hopping integrals at zero temperature is found. It is shown that chemical potential of the model is temperature-dependent. The dependences of chemical potential of a generalized Hubbard model with correlated hopping on the model parameters are different in metallic and insulating phases leading to a kink at the point of metal-insulator transition in the ground state. With the increase of temperature the kink in the chemical potential curve disappears. The obtained results differ from those of the Hubbard model indicating the important role of correlated hopping.
A generalized Hubbard model with correlated hoppings is studied at half filling using exact diagonalization methods. For certain values of the hopping parameters our results for several static properties, the Drude weight and the single-particle spectra function, suggest the occurrence of a metal-insulator transition (MIT) at a finite value of the local Coulomb interaction Uc{\mathit{U}}_{\mathit{c}}Uc​. We identify the regions of the hopping parameters where the MIT is of the Mott type. In these regions, for large UUc{\mathit{U}}_{\mathit{c}}Uc​, we find a ferromagnetic ground state.