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Strong correlation effects, such as a dramatic increase in the effective mass of the carriers of electricity, recently observed in the low density electron gas have provided spectacular support for the existence of a sharp metal-insulator…

Strongly Correlated Electrons · Physics 2009-11-13 A. Camjayi , K. Haule , V. Dobrosavljevic , G. Kotliar

We study the half filled extended Hubbard model on a two-dimensional square lattice using cluster dynamical mean field theory on clusters of size 8-20. We show that the model exhibits metallic, Mott insulating, and charge ordered phases,…

Strongly Correlated Electrons · Physics 2017-04-28 Hanna Terletska , Tianran Chen , Emanuel Gull

We consider the extended Hubbard model on a two-dimensional square lattice at half-filling. The model is investigated using the strong coupling diagram technique. We sum infinite series of ladder diagrams allowing for full-scale charge and…

Strongly Correlated Electrons · Physics 2023-05-22 A. Sherman

We study the extended Hubbard model with both on-site and nearest neighbor Coulomb repulsion ($U$ and $V$, respectively) in the Dynamical Mean Field theory. At quarter filling, the model shows a transition to a charge ordered phase with…

Strongly Correlated Electrons · Physics 2009-10-31 R. Pietig , R. Bulla , S. Blawid

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 phase-diagram of this model as a function of the…

Strongly Correlated Electrons · Physics 2017-03-15 K. J. Kapcia , S. Robaszkiewicz , M. Capone , A. Amaricci

We study by dynamical mean field theory the ground state of a quarter-filled Hubbard model of two bands with different bandwidths. At half-filling, this model is known to display an orbital selective Mott transition, with the narrower band…

Strongly Correlated Electrons · Physics 2018-07-11 Francesco Grandi , Adriano Amaricci , Massimo Capone , Michele Fabrizio

We investigate the interplay between geometrical frustration and strong electron correlation based upon the pyrochlore Hubbard model. In the half-filling case, using the perturbative expansion in terms of electron correlation, we show that…

Strongly Correlated Electrons · Physics 2009-11-07 Satoshi Fujimoto

Theoretical studies on charge ordering phenomena in quarter-filled molecular (organic) conductors are reviewed. Extended Hubbard models including not only the on-site but also the inter-site Coulomb repulsion are constructed in a…

Strongly Correlated Electrons · Physics 2007-05-23 Hitoshi Seo , Jaime Merino , Hideo Yoshioka , Masao Ogata

At the Mott transition, electron-electron interaction changes a metal, in which electrons are itinerant, to an insulator, in which electrons are localized. This phenomenon is central to quantum materials. Here we contribute to its…

Strongly Correlated Electrons · Physics 2019-02-20 C. Walsh , P. Sémon , D. Poulin , G. Sordi , A. -M. S. Tremblay

We perform a detailed study of the phase transitions and mechanisms of electron localization in the extended Hubbard model using the dynamical cluster approximation on a $2\times 2$ cluster. We explore the interplay of charge order and Mott…

Strongly Correlated Electrons · Physics 2021-08-25 Hanna Terletska , Sergei Iskakov , Thomas Maier , Emanuel Gull

Though most fermionic Mott insulators order at low temperatures, ordering is ancillary to their insulating behaviour. Our emphasis here is on disentangling ordering from the intrinsic strongly correlated physics of a doped half-filled band.…

Strongly Correlated Electrons · Physics 2009-11-10 Tudor D. Stanescu , Philip Phillips

We study the extended Hubbard model away from half-filling on a two-dimensional square lattice using cluster dynamical mean field theory on clusters of size $8$. We show that the model exhibits metallic, compressible charge ordered, and…

Strongly Correlated Electrons · Physics 2019-04-05 Hanna Terletska , Tianran Chen , Joseph Paki , Emanuel Gull

We study ground-state properties of the two-dimensional Hubbard model at half filling by improving variational Monte Carlo method and by implementing quantum-number projection and multi-variable optimization. The improved variational wave…

Strongly Correlated Electrons · Physics 2008-08-30 Daisuke Tahara , Masatoshi Imada

Motivated by twisted transition metal dichalcogenides (TMDs), we study an extended Hubbard model with both on-site and off-site repulsive interactions, in which Mott insulating states with concomitant charge order occur at fractional…

Strongly Correlated Electrons · Physics 2025-07-10 Zhenhao Song , Urban F. P. Seifert , Leon Balents , Hong-Chen Jiang

We introduce the notion of superstructure Mottness to describe the Mott and Wigner-Mott transition in doped strongly correlated electron systems at commensurate filling fractions away from one electron per site. We show that superstructure…

Strongly Correlated Electrons · Physics 2009-10-01 Chunhua Li , Ziqiang Wang

We study the interplay between electron correlation and disorder in the two-dimensional Hubbard model at half-filling by means of a variational wave function that can interpolate between Anderson and Mott insulators. We give a detailed…

Strongly Correlated Electrons · Physics 2015-05-13 Maria Elisabetta Pezzoli , Federico Becca

The Hubbard model in the strong-coupling regime is mainly studied by Kondo-lattice theory or 1/d expansion theory, with d the spatial dimensionality. In two dimensions and higher, the ground state within the Hilbert subspace with no order…

Strongly Correlated Electrons · Physics 2007-07-03 Fusayoshi J. Ohkawa

We investigate the ground-state properties of the one-dimensional two-band Hubbard model with different bandwidths. The density-matrix renormalization group method is applied to calculate the averaged electron occupancies $n$ as a function…

Strongly Correlated Electrons · Physics 2009-11-13 S. Miyashita , Y. Yamashita , K. Yonemitsu , A. Koga , N. Kawakami

We study two-component fermions in optical lattices with spatially alternating on-site interactions using dynamical mean-field theory. Calculating the quasi-particle weight, double occupancy, and order parameters for each sublattice, we…

Strongly Correlated Electrons · Physics 2013-01-16 Akihisa Koga , Takamitsu Saitou , Atsushi Yamamoto

We examine critical properties of the quarter-filled one-dimensional Hubbard model with dimerization and with the onsite and nearest-neighbor Coulomb repulsion U and V. By utilizing the bosonization method, it is shown that the system…

Strongly Correlated Electrons · Physics 2009-11-07 M. Tsuchiizu , E. Orignac
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