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The variational cluster approximation is used to study the frustrated Hubbard model at half filling defined on the two-dimensional square lattice with anisotropic next-nearest-neighbor hopping parameters. We calculate the ground-state phase…

Strongly Correlated Electrons · Physics 2017-02-02 Kazuma Misumi , Tatsuya Kaneko , Yukinori Ohta

We systematically study an extended Bose-Hubbard model with atom hopping and atom-pair hopping in the presence of a three-body constraint on the triangular lattice. By means of large-scale Quantum Monte Carlo simulations, the ground-state…

Quantum Gases · Physics 2013-11-27 Wanzhou Zhang , Yancheng Wang , Wenan Guo

Long-range interactions can qualitatively reorganize correlated-electron ground states. In the square-lattice Hubbard model, on-site repulsion produces antiferromagnetic spin and charge stripes upon doping. We show that including a…

Strongly Correlated Electrons · Physics 2026-03-16 Chunhan Feng , Miguel A. Morales , Shiwei Zhang

Flexible long period moir\' e superlattices form in two-dimensional van der Waals crystals containing layers that differ slightly in lattice constant or orientation. In this Letter we show theoretically that isolated flat moir\' e bands…

Mesoscale and Nanoscale Physics · Physics 2018-07-12 Fengcheng Wu , Timothy Lovorn , Emanuel Tutuc , A. H. MacDonald

Using finite-temperature determinantal quantum Monte Carlo simulations, we examine the thermodynamic properties of the extended Hubbard model on the half-filled square lattice in the Slater regime at intermediate coupling. We consider both…

Strongly Correlated Electrons · Physics 2022-10-19 Alexander Sushchyev , Stefan Wessel

A Hubbard model at half-filling on an anisotropic triangular lattice has been proposed as the minimal model to describe conducting layers of $\kappa-(BEDT-TTF)_2X$ organic materials. The model interpolates between the square lattice and…

Superconductivity · Physics 2016-04-20 Shan-Wen Tsai , J. B. Marston

The quintessential two-dimensional lattice model that describes the competition between the kinetic energy of electrons and their short-range repulsive interactions is the repulsive Hubbard model. We study a time-reversal symmetric variant…

Strongly Correlated Electrons · Physics 2012-01-26 Titus Neupert , Luiz Santos , Shinsei Ryu , Claudio Chamon , Christopher Mudry

To understand effects of orbital degeneracy on magnetism, in particular effects of Hund's rule coupling, we study the two-orbital Hubbard model on a square lattice by a variational Monte Carlo method. As a variational wave function, we…

Strongly Correlated Electrons · Physics 2009-01-29 Katsunori Kubo

We thoroughly examine the ground state of the triangular lattice of Pb on Si(111) using scanning tunneling microscopy. We detect charge-order, accompanied by a subtle structural reconstruction. Applying the extended variational cluster…

Strongly Correlated Electrons · Physics 2019-08-29 Florian Adler , Stephan Rachel , Manuel Laubach , Julian Maklar , Andrzej Fleszar , Jörg Schäfer , Ralph Claessen

We have studied a simple effective model of charge ordered insulators. The tight binding Hamiltonian consists of the effective on-site interaction U and the intersite density-density interaction Wij (both: nearest-neighbor and…

Strongly Correlated Electrons · Physics 2023-07-19 Konrad Kapcia , Stanisław Robaszkiewicz

We demonstrate that at a filling of $n=1.5$, an hexatic insulating state obtains in the extended Hubbard model on a triangular lattice. Composed of two tetragonal sublattices with fillings of $n=1$ and $n=2$, the insulating state is charge…

Strongly Correlated Electrons · Physics 2013-05-29 Ting-Pong Choy , Dimitrios Galanakis , Philip Phillips

Finite-temperature phase transitions in quasi-one-dimensional quarter-filled systems are investigated by the extended Hubbard model with electron-lattice coupling. Using a quantum Monte Carlo method combined with the inter-chain mean-field…

Strongly Correlated Electrons · Physics 2008-11-11 Yuichi Otsuka , Hitoshi Seo , Yukitoshi Motome , Takeo Kato

Using mean-field theory, exact diagonalizations and SU(3) flavour theory, we have precisely mapped out the phase diagram of the S=1 bilinear-biquadratic Heisenberg model on the triangular lattice in a magnetic field, with emphasis on the…

Strongly Correlated Electrons · Physics 2007-05-23 A. Laeuchli , F. Mila , K. Penc

The long-studied Hubbard model is one of the simplest models of copper-oxide superconductors. However, the connection between the model and the experimental phase diagram is still under debate, in particular regarding the existence and…

Strongly Correlated Electrons · Physics 2018-11-21 Andrew S. Darmawan , Yusuke Nomura , Youhei Yamaji , Masatoshi Imada

We study the phase diagram of the extended Hubbard model on a two-dimensional square lattice, including on-site (U) and nearest-neighbor (V) interactions, at weak couplings. We show that the charge-density-wave phase that is known to occur…

Superconductivity · Physics 2013-08-14 Wen-Min Huang , Chen-Yen Lai , Chuntai Shi , Shan-Wen Tsai

The Hubbard model describes interacting electrons on a lattice,a situation which occurs in various solid state materials and devices. The aim of the present paper is to briefly discuss this model and its applications in the study of…

Materials Science · Physics 2010-01-20 V. Celebonovic

We consider a modified extended Hubbard model (EHM) which, in addition to the on-site repulsion U and nearest-neighbor repulsion V, includes polarization effects in second-order perturbation theory. The model is equivalent to an EHM with…

Strongly Correlated Electrons · Physics 2009-10-31 M. E. Torio , A. A. Aligia , K. Hallberg , H. A. Ceccatto

We study the extended Hubbard model with both on-site (U) and nearest neighbor (V) Coulomb repulsion using the exact diagonalization method within the dynamical mean field theory. For a fixed U (U=2.0), the T-n phase-diagrams are obtained…

Strongly Correlated Electrons · Physics 2009-11-10 Ning-Hua Tong , Shun-Qing Shen , Ralf Bulla

Orbital degrees of freedom play an important role for understanding the emergence of unconventional quantum phases. Ultracold atomic gases in optical lattices provide a wonderful platform to simulate orbital physics. In this work, we…

Quantum Gases · Physics 2024-07-02 Jiaqi Wu , Hui Tan , Rui Cao , Jianmin Yuan , Yongqiang Li

We show in a mean-field calculation that phase diagrams remarkably similar to those recently proposed for the cuprates arise in simple microscopic models of interacting electrons near half-filling. The models are extended Hubbard models…

Strongly Correlated Electrons · Physics 2009-11-07 Chetan Nayak , Eugene Pivovarov