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The doped Fullerides can be well described by a Hubbard model, which comprises the partly filled, threefold-degenerate t_1u orbital and the on-site Coulomb interaction U. The orbital degeneracy is known to shift the critical ratio U_c/W for…

Strongly Correlated Electrons · Physics 2007-05-23 Erik Koch , Olle Gunnarsson , Richard M. Martin

Strongly-correlated electrons in transition-metal oxides give rise to intriguing emergent phenomena, including high-temperature superconductivity in cuprates. While simplified one-band Hubbard models capture some aspects, explicitly…

Within the Composite Operator Method (COM), we report the solution of the Emery model (also known as p-d or three band model), which is relevant for the cuprate high-Tc superconduc- tors. We also discuss the relevance of the often-neglected…

Strongly Correlated Electrons · Physics 2013-06-17 Adolfo Avella , Ferdinando Mancini , Francesco Paolo Mancini , Evgeny Plekhanov

Traditionally one and two-point correlation functions are used to characterize many-body systems. In strongly correlated quantum materials, such as the doped 2D Fermi-Hubbard system, these may no longer be sufficient because higher-order…

Quantum Gases · Physics 2021-01-20 A. Bohrdt , Y. Wang , J. Koepsell , M. Kánasz-Nagy , E. Demler , F. Grusdt

Using the strong coupling diagram technique equations are derived for hole Green's functions of the three-band Hubbard model, which describes Cu-O planes of high-$T_c$ cuprates. The equations are self-consistently solved in the…

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

The bilayer Hubbard model with electron-hole doping is an ideal platform to study excitonic orders due to suppressed recombination via spatial separation of electrons and holes. However, suffering from the sign problem, previous quantum…

Strongly Correlated Electrons · Physics 2020-02-26 Xuxin Huang , Martin Claassen , Edwin W. Huang , Brian Moritz , Thomas P. Devereaux

The competition between d-wave superconductivity (SC) and antiferromagnetism (AF) in the high-Tc cuprates is investigated by studying the hole- and electron-doped two-dimensional Hubbard model with a recently proposed variational…

Superconductivity · Physics 2007-05-23 M. Aichhorn , E. Arrigoni , M. Potthoff , W. Hanke

The Gutzwiller wave function for the three-band Hubbard model on a two dimensional CuO$_2$ plane is studied by using the variational Monte Carlo (VMC) method in the limit $U_d \to \infty$, where $U_d$ is the Coulomb repulsion between holes…

Condensed Matter · Physics 2009-10-22 A. Oguri , T. Asahta , S. Maekawa

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

Numerical evidence for superconductivity in the single-band Hubbard model is elusive or ambiguous despite extensive study, raising the question of whether the single-band Hubbard model is a faithful low energy effective model for cuprates,…

Strongly Correlated Electrons · Physics 2026-01-13 Sijia Zhao , Rong Zhang , Wen O. Wang , Jixun K. Ding , Tianyi Liu , Brian Moritz , Edwin W. Huang , Thomas P. Devereaux

Motivated by the highest superconducting transition temperature ($T_c$) in multilayer cuprates,we investigated the trilayer Hubbard model by adopting the large-scale dynamical cluster quantum Monte Carlo simulations. Focusing on the systems…

Superconductivity · Physics 2025-11-06 Xun Liu , Mi Jiang

We study the conductivity, density of states, and magnetic correlations of a two dimensional, two band fermion Hubbard model using determinant Quantum Monte Carlo (DQMC) simulations. We show that an orbitally selective Mott transition…

Strongly Correlated Electrons · Physics 2010-04-22 Karim Bouadim , George G. Batrouni , Richard T. Scalettar

A recently introduced one-dimensional three-orbital Hubbard model displays orbital-selective Mott phases with exotic spin arrangements such as spin block states [J. Rinc\'on {\em et al.}, Phys. Rev. Lett. \textbf{112}, 106405 (2014)]. In…

Experiments have shown that the families of cuprate superconductors that have the largest transition temperature at optimal doping also have the largest oxygen hole content at that doping. They have also shown that a large charge-transfer…

Superconductivity · Physics 2022-03-01 N. Kowalski , S. S. Dash , D. Sénéchal , A. -M. S. Tremblay

We apply the Worldvolume Hybrid Monte Carlo (WV-HMC) method [arXiv:2012.08468] to the two-dimensional Hubbard model, which is known to suffer from a severe sign problem when the system is doped (away from half filling). We show that the…

High Energy Physics - Lattice · Physics 2026-05-15 Masafumi Fukuma , Yusuke Namekawa

Determinant Quantum Monte Carlo (DQMC) provides numerically exact solutions for strongly correlated fermionic systems but faces significant computational challenges with increasing system size. While submatrix updates were originally…

Strongly Correlated Electrons · Physics 2025-02-19 Fanjie Sun , Xiao Yan Xu

A microscopic understanding of the strongly correlated physics of the cuprates must account for the translational and rotational symmetry breaking that is present across all cuprate families, commonly in the form of stripes. Here we…

Strongly Correlated Electrons · Physics 2018-04-24 Edwin W. Huang , Christian B. Mendl , Hong-Chen Jiang , Brian Moritz , Thomas P. Devereaux

Using the constrained-path Monte Carlo method, a two-orbital model for the pnictide superconductors is studied at half filling and in both the electron- and hole-doped cases. At half filling, a stable $(\pi,0)$/$(0,\pi)$ magnetic order is…

Strongly Correlated Electrons · Physics 2014-09-05 Guang-Kun Liu , Zhong-Bing Huang , Yong-Jun Wang

Recent scanning tunnelling spectroscopy (STS) experiments revealed remarkable role of a supercell consisting $4\times4$ CuO$_2$ unit cells in the emergence of local nematic state and preformed local Cooper pairs and phase coherent cuprate…

Strongly Correlated Electrons · Physics 2025-06-03 Mi Jiang , Yi-feng Yang , Guang-Ming Zhang

In order to numerically study electron correlation effects in multi-orbital systems, we propose a new type of discrete transformation for the exchange (Hund's coupling) and pair-hopping interactions to be used in the dynamical mean field…

Strongly Correlated Electrons · Physics 2009-11-10 Shiro Sakai , Ryotaro Arita , Hideo Aoki