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To describe the cuprate superconductors, models of strongly correlated electronic systems, such as the Hubbard or t-J models, are commonly employed. To study these models, projected (Hubbard) operators have to be used. Due to the…

Strongly Correlated Electrons · Physics 2016-12-21 Nikolay M. Plakida

The enigma of unconventional superconductivity in doped cuprates presents a formidable challenge in the realm of condensed matter physics. Recent findings of strong near-neighbor attractions in one-dimensional cuprate chains suggest a new…

Superconductivity · Physics 2024-01-17 Zhipeng Sun , Hai-Qing Lin

A possibility of the electronic origin of the high-temperature superconductivity in cuprates is probed with the quantum Monte Carlo method by revisiting the three-band Hubbard model comprising Cu$3d_{x^2-y^2}$ and O$2p_\sigma$ orbitals. The…

Condensed Matter · Physics 2009-10-28 Kazuhiko Kuroki , Hideo Aoki

The emergence of high transition temperature (Tc) superconductivity in strongly correlated materials remains a major unsolved problem in physics. High-Tc materials, such as cuprates, are generally complex and not easily tunable, making…

We study the one- and two- dimensional extended Hubbard model by means of the Composite Operator Method within the 2-pole approximation. The fermionic propagator is computed fully self-consistently as a function of temperature, filling and…

Strongly Correlated Electrons · Physics 2007-05-23 Adolfo Avella , Ferdinando Mancini

Within the framework of the Composite Operator Method, a three-pole solution for the two-dimensional Hubbard model is presented and analyzed in detail. In addition to the two Hubbard operators, the operatorial basis comprises a third…

Strongly Correlated Electrons · Physics 2014-02-26 Adolfo Avella

By means of the composite operator method we calculate the specific heat of the 2D Hubbard model. Our results show that the model gives a detailed description of the experimental situation in the normal state of cuprate high Tc…

Superconductivity · Physics 2008-02-03 F. Mancini , D. Villani , H. Matsumoto

Heterostructures of transition-metal oxides emerged as a new route to engineer electronic systems with desired functionalities. Motivated by these developments, we study a two-orbital Hubbard model in a thin-film geometry confined along the…

Strongly Correlated Electrons · Physics 2014-07-09 Andreas Rüegg , Hsiang-Hsuan Hung , Emanuel Gull , Gregory A. Fiete

In recent years, charge-channel orders in strongly correlated metals have attracted great attention. Famous examples are the electronic nematic orders in cuprates and iron-based superconductors, and Star-of-David order in kagome metals.…

Superconductivity · Physics 2025-08-28 Youichi Yamakawa , Hiroshi Kontani

Unraveling the behavior of the electrons in the copper-oxygen planes of cuprate superconductors remains a challenge. Here we examine the electronic charge redistribution among planar copper and oxygen orbitals and the charge gap using the…

Strongly Correlated Electrons · Physics 2025-09-08 G. L. Reaney , N. Kowalski , A. -M. S. Tremblay , G. Sordi

Metals approaching the Mott insulator generate a new hierarchy in the electronic structure accompanied by a momentum dependent electron differentiation, beyond the Mott-Hubbard, Brinkman-Rice and Slater pictures of the Mott transition. To…

Strongly Correlated Electrons · Physics 2009-11-07 Shigeki Onoda , Masatoshi Imada

In order to theoretically identify the factors governing superconductivity in multi-layer cuprates, a three-layer Hubbard model is studied with the two-particle self-consistent (TPSC) approach so as to incorporate electron correlations. The…

Superconductivity · Physics 2019-09-02 Kazutaka Nishiguchi , Shingo Teranishi , Koichi Kusakabe , Hideo Aoki

Significant progress towards a theory of high-temperature superconductivity in cuprates has been achieved via the study of effective one- and three-band Hubbard models. Nevertheless, material-specific predictions, while essential for…

Strongly Correlated Electrons · Physics 2025-03-10 Benjamin Bacq-Labreuil , Benjamin Lacasse , André-Marie S. Tremblay , David Sénéchal , Kristjan Haule

Charge order in cuprate superconductors is a possible source of anomalous electronic properties in the underdoped regime. Intra-unit cell charge ordering tendencies point to electronic nematic order involving oxygen orbitals. In this…

Strongly Correlated Electrons · Physics 2013-10-29 S. Bulut , W. A. Atkinson , A. P. Kampf

A two-band Hubbard model is used to describe the band structure and phase separation (PS) in multiband superconductors, especially in cuprates. We predict a large peak in the density of states at the Fermi level in the case of optimum…

Strongly Correlated Electrons · Physics 2007-06-04 A. O. Sboychakov , Sergey Savel'ev , A. L. Rakhmanov , K. I. Kugel , Franco Nori

We use first-principles calculations to extract two essential microscopic parameters, the charge-transfer energy and the inter-cell oxygen-oxygen hopping, which correlate with the maximum superconducting transition temperature $\Tcmax$…

Strongly Correlated Electrons · Physics 2012-11-07 Cédric Weber , Chuck-Hou Yee , Kristjan Haule , Gabriel Kotliar

The two-dimensional Hubbard model is studied within the Composite Operator Method (COM) with the residual self-energy computed in the Self-Consistent Born Approximation (SCBA). COM describes interacting electrons in terms of the new…

Strongly Correlated Electrons · Physics 2007-06-20 Adolfo Avella , Ferdinando Mancini

Although the microscopic origin of the superconductivity in high Tc copper oxides remains the subject of active inquiry, several of their electronic characteristics are well established as universal to all the known materials, forming the…

Superconductivity · Physics 2009-11-10 R. E. Schaak , T. Klimczuk , M. L. Foo , R. J. Cava

The one-band and three-band Hubbard models which describe the electronic structure of cuprates indicate very different values of effective electronic parameters, such as the on-site Coulomb energy and the hybridization strength. In…

Strongly Correlated Electrons · Physics 2023-03-01 K. Sheshadri , D. Malterre , A. Fujimori , A. Chainani

To address the issues of superconducting and charge properties in high-T$_c$ cuprates, we perform a quantum Monte Carlo study of an extended three-band Emery model, which explicitly includes attractive interaction $V_{OO}$ between oxygen…

Superconductivity · Physics 2021-09-14 Zhong-Bing Huang , Shi-Chao Fang , Hai-Qing Lin