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Related papers: Realizing multi-orbital Emery models with ultracol…

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The microscopic origin of high-temperature superconductivity in cuprates remains one of the central open questions in condensed matter physics. Growing experimental and theoretical evidence suggests that the bare single-band Fermi-Hubbard…

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

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

Understanding the transport properties of cuprate superconductors is one of the central challenges in the physics of strongly correlated electrons. The most common approach is to define and solve a low-energy lattice model, but it is still…

Strongly Correlated Electrons · Physics 2026-04-10 Jakša Vučičević , Rok Žitko

The nature of the effective interaction responsible for pairing in the high-temperature superconducting cuprates remains unsettled. This question has been studied extensively using the simplified single-band Hubbard model, which does not…

Superconductivity · Physics 2021-04-05 Peizhi Mai , Giovanni Balduzzi , Steven Johnston , Thomas A. Maier

Ultracold atomic gases provide a fantastic platform to implement quantum simulators and investigate a variety of models initially introduced in condensed matter physics or other areas. One of the most promising applications of quantum…

Quantum Gases · Physics 2019-01-07 Leticia Tarruell , Laurent Sanchez-Palencia

The Emery model, or three-band Hubbard model, is a Hamiltonian that is thought to contain much of the physics of cuprate superconductors. This model includes two noninteracting $p$ orbitals and one interacting $d$ orbital per unit cell. Few…

Strongly Correlated Electrons · Physics 2023-08-29 C. Gauvin-Ndiaye , J. Leblanc , S. Marin , N. Martin , D. Lessnich , A. -M. S. Tremblay

Ultracold atoms in optical lattices have great potential to contribute to a better understanding of some of the most important issues in many-body physics, such as high-$T_c$ superconductivity. The Hubbard model describes many of the…

The Hubbard model is one of the primary models for understanding the essential many-body physics in condensed matter systems such as Mott insulators and cuprate high-Tc superconductors. Recent advances in atomically precise fabrication in…

These lecture notes review recent progress in studying the Fermi-Hubbard model using ultracold gases in optical lattices. We focus on results from quantum gas microscope experiments that have allowed site-resolved measurements of charge and…

Quantum Gases · Physics 2025-07-08 Waseem S. Bakr , Zengli Ba , Max L. Prichard

Single- and multi-band Hubbard models have been found to describe many of the complex phenomena that are observed in the cuprate and iron-based high-temperature superconductors. Simulations of these models therefore provide an ideal…

Superconductivity · Physics 2012-08-07 Thomas A. Maier

Following the discovery of superconductivity in the cuprates and the seminal work by Anderson, the theoretical efforts to understand high-temperature superconductivity have been focusing to a large extent on a simple model: the one-band…

Superconductivity · Physics 2020-08-25 Motoharu Kitatani , Liang Si , Oleg Janson , Ryotaro Arita , Zhicheng Zhong , Karsten Held

Fermionic atoms in optical lattices have served as a compelling model system to study and emulate the physics of strongly-correlated matter. Driven by the advances of high-resolution microscopy, the recent focus of research has been on…

Quantum Gases · Physics 2023-10-30 Marcell Gall , Nicola Wurz , Jens Samland , Chun Fai Chan , Michael Köhl

We use the numerically unbiased determinant quantum Monte Carlo (DQMC) method to systematically investigate the three-orbital Emery model in the normal state in a wide range of local interactions, charge transfer energy, and doping levels.…

Strongly Correlated Electrons · Physics 2025-11-14 Yan Peng , Mi Jiang

Many exotic phenomena in strongly correlated electron systems emerge from the interplay between spin and motional degrees of freedom. For example, doping an antiferromagnet gives rise to interesting phases including pseudogap states and…

In the last decade, quantum simulators, and in particular cold atoms in optical lattices, have emerged as a valuable tool to study strongly correlated quantum matter. These experiments are now reaching regimes that are numerically difficult…

Quantum Gases · Physics 2022-01-05 Annabelle Bohrdt , Lukas Homeier , Christian Reinmoser , Eugene Demler , Fabian Grusdt

Ultracold fermionic atoms in optical lattices offer pristine realizations of Hubbard models, which are fundamental to modern condensed matter physics. Despite significant advancements, the accessible temperatures in these optical lattice…

Ultracold atoms trapped in optical lattices have emerged as a scalable and promising platform for quantum simulation and computation. However, gate speeds remain a significant limitation for practical applications. In this work, we employ…

Quantum Physics · Physics 2025-06-25 Juhi Singh , Jan A. P. Reuter , Tommaso Calarco , Felix Motzoi , Robert Zeier

Motivated by the recent findings on the $T$-linear electronic scattering rate in the two-dimensional Hubbard model, we have investigated the three-orbital Emery model and its temperature-dependent electronic and quasiparticle scattering…

Strongly Correlated Electrons · Physics 2024-03-19 Tianzong Mao , Mi Jiang

The minimal ingredients to explain the essential physics of layered copper-oxide (cuprates= materials remains heavily debated. Effective low energy single-band models of the copper-oxygen orbitals are widely used because there exists no…

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