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The equation for the electron Green's function of the fermionic Hubbard model, derived using the strong coupling diagram technique, is solved self-consistently for the near-neighbor form of the kinetic energy and for half-filling. In this…

Strongly Correlated Electrons · Physics 2015-06-11 A. Sherman

An analysis of Luttinger's theorem shows that -- contrary to recent claims -- it is not valid for a generic Mott insulator. For a two-orbital Hubbard model with two electrons per site the crossover from a non-magnetic correlated insulating…

Strongly Correlated Electrons · Physics 2009-11-11 A. Rosch

We study the magnetic properties around the Mott transition in the Kagom\'e lattice Hubbard model by the cellular dynamical mean field theory combined with quantum Monte Carlo simulations. By investigating the q-dependence of the…

Strongly Correlated Electrons · Physics 2009-11-11 Takuma Ohashi , Sei-ichiro Suga , Norio Kawakami , Hirokazu Tsunetsugu

We propose a formalism to take account of the correction of the spatial fluctuations to the local self-energy obtained by the dynamical mean-field approximation. For this purpose, the approximate dynamical susceptibility in the framework of…

Strongly Correlated Electrons · Physics 2009-11-11 Hiroaki Kusunose

We use determinant Quantum Monte Carlo simulations and exact diagonalization to explore insulating behavior in the Hubbard model with a bimodal distribution of randomly positioned local site energies. From the temperature dependence of the…

Strongly Correlated Electrons · Physics 2007-07-10 N. Paris , A. Baldwin , R. T. Scalettar

We consider the repulsive Hubbard model on a square lattice with an additional term, W, which depends upon the square of a single-particle nearest-neighbor hopping. At half-band filling, constant W, we show that enhancing U/t drives the…

Strongly Correlated Electrons · Physics 2007-05-23 F. F. Assaad

In this paper, we investigate the impact of nonlocal correlations on charge fluctuations in the two-dimensional single-band Hubbard model close to the Mott metal-to-insulator transition, employing the ladder dynamical vertex approximation.…

Strongly Correlated Electrons · Physics 2025-10-21 Irakli Titvinidze , Julian Stobbe , Marvin Leusch , Georg Rohringer

We investigate the ground state properties of the two dimensional half-filled one band Hubbard model in the strong (large-U) to intermediate coupling limit ({\it i.e.} away from the strict Heisenberg limit) using an effective spin-only…

Strongly Correlated Electrons · Physics 2007-05-23 J. -Y. P. Delannoy , M. J. P. Gingras , P. C. W. Holdsworth , A. -M. S. Tremblay

We study novel electronic properties of the Hubbard model on a triangular lattice using the cellular dynamical mean-field theory. The interplay of strong geometric frustration and electron correlations causes a Mott transition at the…

Strongly Correlated Electrons · Physics 2009-11-11 Bumsoo Kyung

We present fully self-consistent calculations in the fluctuation exchange approximation for the half-filled Hubbard model in 2D. A non-fermi liquid state evolves with decreasing temperature in this self-consistent model of coupled spin…

Condensed Matter · Physics 2015-06-25 D. W. Hess , J. J. Deisz , J. W. Serene

We have studied the impact of non-local electronic correlations at all length scales on the Mott-Hubbard metal-insulator transition in the unfrustrated two-dimensional Hubbard model. Combining dynamical vertex approximation, lattice quantum…

Strongly Correlated Electrons · Physics 2015-03-05 T. Schäfer , F. Geles , D. Rost , G. Rohringer , E. Arrigoni , K. Held , N. Blümer , M. Aichhorn , A. Toschi

With the hierarchical Green's function approach, we study a doped Mott insulator described with the Hubbard model by analytically solving the equations of motion of an one-particle Green's function and related multiple-point correlation…

Strongly Correlated Electrons · Physics 2020-01-29 Yu-Liang Liu

Suppression of rectification at metal--Mott-insulator interfaces, which is previously shown by numerical solutions to the time-dependent Schr\"odinger equation and experiments on real devices, is reinvestigated theoretically by…

Strongly Correlated Electrons · Physics 2009-04-27 Kenji Yonemitsu

We present a formalism for strongly correlated electrons systems which consists in a local approximation of the dynamical three-leg interaction vertex. This vertex is self-consistently computed with a quantum impurity model with dynamical…

Strongly Correlated Electrons · Physics 2016-04-01 Thomas Ayral , Olivier Parcollet

We present single-particle and thermodynamic properties of the half-filled single-band Hubbard model in 2D calculated in the self-consistent fluctuation exchange approximation. The low-energy excitations at moderate temperatures and small…

Condensed Matter · Physics 2009-10-28 J. J. Deisz , D. W. Hess , J. W. Serene

The Mott insulator is the quintessential strongly correlated electronic state. We obtain complete insight into the physics of the two-dimensional Mott insulator by extending the slave-fermion (holon-doublon) description to finite…

Strongly Correlated Electrons · Physics 2019-07-01 Xing-Jie Han , Chuang Chen , Jing Chen , Hai-Dong Xie , Rui-Zhen Huang , Hai-Jun Liao , Bruce Normand , Zi Yang Meng , Tao Xiang

We study the charge dynamics of the half-filled Hubbard model on the square lattice at zero temperature. We employ a slave-fermion formulation in which the charge degrees of freedom are represented by fermionic holons and doublons and the…

Strongly Correlated Electrons · Physics 2024-06-26 X. J. Han , Y. Liu , Z. Y. Liu , X. Li , J. Chen , Z. Y. Xie , B. Normand , T. Xiang

Using the strong coupling diagram technique a self-consistent equation for the electron Green's function is derived for the repulsive Hubbard model. Terms of two lowest orders of the ratio of the bandwidth $\Delta$ to the Hubbard repulsion…

Strongly Correlated Electrons · Physics 2019-05-21 A. Sherman

Electron-electron and electron-phonon interactions are responsible for the formation of spin, charge, and superconducting correlations in layered quantum materials. A paradigmatic model for such materials that captures both kinds of…

Strongly Correlated Electrons · Physics 2026-03-16 Aiman Al-Eryani , Sabine Andergassen , Michael M. Scherer

Elucidating the physics of the single-orbital Hubbard model in its intermediate coupling regime is a key missing ingredient to our understanding of metal-insulator transitions in real materials. Using recent non-perturbative many-body…

Strongly Correlated Electrons · Physics 2024-10-10 Maria Chatzieleftheriou , Silke Biermann , Evgeny A. Stepanov
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