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In the work, we investigated a generalized model of the fermionic lattice gas in the form of the extended Hubbard model with intersite Ising-like interactions (both antiferromagnetic and ferromagnetic) at the atomic limit on the triangular…

Statistical Mechanics · Physics 2024-01-24 Konrad Jerzy Kapcia , Jan Barański

Triangular-lattice systems attract a lot of attention due to various frustration-induced and strongly correlated effects. Here, we focus on the charge-ordering phenomenon by means of investigation of the extended Hubbard model with…

Strongly Correlated Electrons · Physics 2026-05-19 Aleksey Alekseev , Agnieszka Cichy , Konrad Jerzy Kapcia

The role of the multiorbital effects on the emergence of frustrated electronic orders on the triangular lattice at half filling is investigated through an extended spinless fermion Hubbard model. By using two complementary approaches,…

Strongly Correlated Electrons · Physics 2015-11-09 C. Février , S. Fratini , A. Ralko

Motivated by the importance of non-collinear and non-coplanar magnetic phases in determining various electrical properties of magnetic materials, we investigate the phase diagrams of the extended Hubbard model on anisotropic triangular…

Strongly Correlated Electrons · Physics 2016-05-11 Kanika Pasrija , Sanjeev Kumar

Spontaneous charge ordering occurring in correlated systems may be considered as a possible route to generate effective lattice structures with unconventional couplings. For this purpose we investigate the phase diagram of doped extended…

Strongly Correlated Electrons · Physics 2016-11-15 Ryui Kaneko , Luca F. Tocchio , Roser Valentí , Claudius Gros

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

Inspired by recent advances in the fabrication of surface superlattices, and in particular the triangular lattice made of tin (Sn) atoms on silicon, we study an extended Hubbard mode on a triangular lattice. The observations of magnetism in…

Strongly Correlated Electrons · Physics 2025-02-17 Kun Woo Kim , T. Pereg-Barnea

We study the extended Hubbard model on a two-dimensional half-filled square lattice using the dynamical cluster approximation. We present results on the phase boundaries between the paramagnetic metallic (normal) state and the insulating…

Strongly Correlated Electrons · Physics 2019-07-03 Joseph Paki , Hanna Terletska , Sergei Iskakov , Emanuel Gull

Motivated by the various physical properties observed in $\theta$-(BEDT-TTF)$_2$X, we study the ground state of extended Hubbard model on two-dimensional anisotropic triangular lattice at 1/4-filling with variational Monte Carlo method. It…

Strongly Correlated Electrons · Physics 2007-05-23 Hiroshi Watanabe , Masao Ogata

Recently, triangular lattice models have received a lot of attention since they can describe a number of strongly-correlated materials that exhibit superconductivity and various magnetic and charge orders. In this research we present an…

Strongly Correlated Electrons · Physics 2025-12-15 Aleksey Alekseev , Agnieszka Cichy , Konrad Jerzy Kapcia

We show that geometric frustration and strong correlation in the triangular lattice Hubbard model lead a rich and novel phase structure of $\sqrt{3}\times\sqrt{3}$ spin-charge textured electronic states over a wide region of electron doping…

Strongly Correlated Electrons · Physics 2014-11-04 Kun Jiang , Sen Zhou , Ziqiang Wang

A simple yet paradigmatic model for the interplay of strong electronic correlations and geometric frustration is the triangular lattice Hubbard model. Recently it was proposed that moir\'e structures of transition metal dichalcogenides can…

Strongly Correlated Electrons · Physics 2022-10-05 Nico Gneist , Laura Classen , Michael M. Scherer

We study the phase diagram of the extended Hubbard model on the kagome lattice at 1/3 filling. By combining a configuration interaction approach to an unrestricted Hartree-Fock, we construct an effective hamiltonian which takes the…

Strongly Correlated Electrons · Physics 2014-05-08 Karim Ferhat , Arnaud Ralko

To investigate the possibility of charge order and superconductivity in a doped two-dimensional triangular lattice, we study the extended Hubbard model with variational Monte Carlo method. At n=2/3, a commensurate filling for a triangular…

Strongly Correlated Electrons · Physics 2007-05-23 Hiroshi Watanabe , Masao Ogata

The interplay between magnetic and superconducting states on a square lattice is studied using the extended Hubbard model, which takes into account the attraction of electrons located at nearest neighbor sites. Ferro-, antiferro-, and…

Strongly Correlated Electrons · Physics 2022-07-20 V. F. Gilmutdinov , M. A. Timirgazin , A. K. Arzhnikov

The quarter-filling extended Hubbard model on the triangular lattice is studied to explore pairing instability in the three-fold charge-ordered (CO) metal. We derive a second-order strong-coupling effective Hamiltonian of doped carriers…

Superconductivity · Physics 2015-05-13 Shotaro Morohoshi , Yoshiyuki Fukumoto

Several new classes of compounds can be modeled in first approximation by electrons on the triangular lattice that interact through on-site repulsion $U$ as well as nearest-neighbor repulsion $V$. This extended Hubbard model on a triangular…

Strongly Correlated Electrons · Physics 2009-11-13 B. Davoudi , S. R. Hassan , A. -M. S. Tremblay

We demonstrate a robust frustration-driven charge-order to superconductivity transition in the half-filled negative-U extended Hubbard model. Superconductivity extends over a broad region of the parameter space. We argue that the model…

Strongly Correlated Electrons · Physics 2009-11-13 S. Mazumdar , R. T. Clay

The extended Hubbard Hamiltonian is a widely accepted model for uncovering the effects of strong correlations on the phase diagram of low-dimensional systems, and a variety of theoretical techniques have been applied to it. In this paper…

Strongly Correlated Electrons · Physics 2007-09-07 H. A. Craig , C. N. Varney , W. E. Pickett , R. T. Scalettar

We investigate the phases of the ionic Hubbard model in a two-dimensional square lattice using determinant quantum Monte Carlo (DQMC). At half-filling, when the interaction strength or the staggered potential dominate we find Mott and band…

Strongly Correlated Electrons · Physics 2009-11-13 K. Bouadim , N. Paris , F. Hebert , G. G. Batrouni , R. T. Scalettar
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