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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

Motivated by the recent discovery of superconductivity in the bilayer nickelate La$_3$Ni$_2$O$_7$ (LNO) under pressure, we study a mixed-dimensional (mixD) bilayer $t_\parallel$-$J_\parallel$-$J_\perp$ model, which has been proposed as an…

Strongly Correlated Electrons · Physics 2026-02-11 Hannah Lange , Ao Chen , Antoine Georges , Fabian Grusdt , Annabelle Bohrdt , Christopher Roth

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…

A challenge - and opportunity - is offered to the Hubbard Model community of solutions extant for the strong coupling region. A rigorous and quantitatively demanding test - a Computer Lab - is presented based on certain exact results for…

Strongly Correlated Electrons · Physics 2018-12-11 Donald M. Esterling

Superconductivity in strongly correlated electrons can emerge out from a normal state that is beyond the Landau's Fermi liquid paradigm, often dubbed as "non-Fermi liquid". While the theory for non-Fermi liquid is still not yet conclusive,…

Superconductivity · Physics 2022-10-20 Yu Li , Vivek Mishra , Yi Zhou , Fu-Chun Zhang

We study the fluctuations responsible for pairing in the $d$-wave superconducting state of the two-dimensional Hubbard model at intermediate coupling within a cluster dynamical mean-field theory with a numerically exact quantum impurity…

Superconductivity · Physics 2022-08-30 Xinyang Dong , Lorenzo Del Re , Alessandro Toschi , Emanuel Gull

We study, within the fluctuation exchange approximation, the spin-fluctuation-mediated superconductivity in Hubbard-type models possessing electron and hole bands, and compare them with a model on a square lattice with a large Fermi…

Superconductivity · Physics 2017-06-28 Masahiro Nakata , Daisuke Ogura , Hidetomo Usui , Kazuhiko Kuroki

Exploring low-cost applications is paramount to creating value in early fault-tolerant quantum computers. Here we optimize both gate and qubit counts of recent algorithms for simulating the Fermi-Hubbard model. We further devise and compile…

Quantum Physics · Physics 2025-08-12 Angus Kan , Benjamin Symons

Understanding the mechanism of high-temperature superconductivity is among the most important problems in physics, for which quantum simulation can provide new insights. However, it remains challenging to characterize superconductivity in…

Quantum Gases · Physics 2025-09-19 Daniel K. Mark , Hong-Ye Hu , Joyce Kwan , Christian Kokail , Soonwon Choi , Susanne F. Yelin

The challenge of understanding high-temperature superconductivity has led to a plethora of ideas, but 30 years after its discovery in cuprates, very few have achieved convincing experimental validation. While Hubbard and t-J models were…

Superconductivity · Physics 2017-11-22 Dragan Mihailovic

The use of quantum computers to calculate the ground state (lowest) energies of a spin lattice of electrons described by the Fermi-Hubbard model of great importance in condensed matter physics has been studied. The ability of quantum bits…

Computational Physics · Physics 2024-08-30 Adam Prokofiew , Nidhish Sharma , Steven Schnetzer

We propose that spin-fluctuation-mediated spin-triplet superconductivity may be realized in repulsive Hubbard models with disconnected Fermi surfaces. The idea is confirmed for Hubbard models on triangular (dilute band filling) and…

Strongly Correlated Electrons · Physics 2009-10-31 Kazuhiko Kuroki , Ryotaro Arita

Hubbard ladders are an important stepping stone to the physics of the two-dimensional Hubbard model. While many of their properties are accessible to numerical and analytical techniques, the question of whether weakly hole-doped Hubbard…

Strongly Correlated Electrons · Physics 2015-11-23 Michele Dolfi , Bela Bauer , Sebastian Keller , Matthias Troyer

To identify the microscopic mechanism of heavy-fermion Cooper pairing is an unresolved challenge in quantum matter studies; it may also relate closely to finding the pairing mechanism of high temperature superconductivity. Magnetically…

Superconductivity · Physics 2015-06-19 J. Van Dyke , F. Massee , M. P. Allan , J. C. Davis , C. Petrovic , D. K. Morr

We study the ground state properties of the one-dimensional extended Hubbard model at half-filling from the perspective of its particle reduced density matrix. We focus on the reduced density matrix of $2$ fermions and perform an analysis…

Strongly Correlated Electrons · Physics 2022-04-11 Diego L. B. Ferreira , Thiago O. Maciel , Reinaldo O. Vianna , Fernando Iemini

The Fermi-Hubbard model is a key concept in condensed matter physics and provides crucial insights into electronic and magnetic properties of materials. Yet, the intricate nature of Fermi systems poses a barrier to answer important…

Quantum Gases · Physics 2015-05-19 Tilman Esslinger

Stimulated by the successful descriptions of strongly correlated electron systems by fractionalized fermions, correspondence between interacting fermions and non-interacting multi-component fermions is formulated in examples of the Hubbard…

Strongly Correlated Electrons · Physics 2024-09-23 Masatoshi Imada

Inspired by the recent experimental report on the pressure induced superconductor-insulator transition in cuprate superconductors as well as the superconductivity of the Ruddlesden-Popper-phase La$_3$Ni$_2$O$_7$ under high pressure, we…

Strongly Correlated Electrons · Physics 2025-01-22 Xun Liu , Mi Jiang

Quantum simulation platforms have become powerful tools for investigating strongly correlated systems beyond the capabilities of classical computation. Ultracold alkaline-earth atoms and molecules now enable experimental realizations of…

Quantum Gases · Physics 2025-06-03 Annika Böhler , Fabian Grusdt , Annabelle Bohrdt

The rapid development of neural quantum states (NQS) has established it as a promising framework for studying quantum many-body systems. In this work, by leveraging the cutting-edge transformer-based architectures and developing highly…

Strongly Correlated Electrons · Physics 2025-07-11 Yuntian Gu , Wenrui Li , Heng Lin , Bo Zhan , Ruichen Li , Yifei Huang , Di He , Yantao Wu , Tao Xiang , Mingpu Qin , Liwei Wang , Dingshun Lv