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We use cellular dynamical mean-field theory with extended unit cells to study the ground state of the two-dimensional repulsive Hubbard model at finite doping. We calculate the energy of states with d-wave superconductivity coexisting with…

Strongly Correlated Electrons · Physics 2018-03-09 Tuomas I. Vanhala , Päivi Törmä

We analyze the competition between antiferromagnetism and superconductivity in the two-dimensional Hubbard model by combining a functional renormalization group flow with a mean-field theory for spontaneous symmetry breaking. Effective…

Strongly Correlated Electrons · Physics 2007-08-23 J. Reiss , D. Rohe , W. Metzner

We obtain an almost complete understanding of the mean-field phase diagram of the two-dimensional Hubbard model on a square lattice with a sizable next-nearest neighbor hopping and a moderate interaction strength. In particular, we clarify…

Strongly Correlated Electrons · Physics 2024-07-02 Robin Scholle , Walter Metzner , Demetrio Vilardi , Pietro M. Bonetti

Combining the complementary capabilities of two of the most powerful modern computational methods, we find superconductivity in both the electron- and hole-doped regimes of the two-dimensional Hubbard model (with next nearest neighbor…

Superconductivity · Physics 2024-05-13 Hao Xu , Chia-Min Chung , Mingpu Qin , Ulrich Schollwöck , Steven R. White , Shiwei Zhang

We investigate the ground-state properties of the two-dimensional Hubbard model, based on the off-diagonal wave function variational Monte Carlo method. We use an optimized wave function that is improved from an initial one-body wave…

Strongly Correlated Electrons · Physics 2025-07-08 Takashi Yanagisawa

We analyze the competition of magnetism and superconductivity in the two-dimensional Hubbard model with a moderate interaction strength, including the possibility of incommensurate spiral magnetic order. Using an unbiased renormalization…

Strongly Correlated Electrons · Physics 2016-03-15 Hiroyuki Yamase , Andreas Eberlein , Walter Metzner

Possible ordered states in the 2D extended Hubbard model with on-site (U>0) and nearest-neighbor (V) interaction are examined near half filling, with emphasis on the effect of finite V. First, the phase diagram at absolute zero is…

Strongly Correlated Electrons · Physics 2009-10-31 Masakazu Murakami

We study the interplay of nematic and superconducting order in the two-dimensional Hubbard model and show that they can coexist, especially when superconductivity is not the energetically dominant phase. Due to a breaking of the $C_4$…

Strongly Correlated Electrons · Physics 2016-09-07 Jan Kaczmarczyk , Tobias Schickling , Jörg Bünemann

We derive an efficient and unbiased method for computing order parameters in correlated electron systems with competing instabilities. Charge, magnetic and pairing fluctuations above the energy scale of spontaneous symmetry breaking are…

Strongly Correlated Electrons · Physics 2014-04-02 Jing Wang , Andreas Eberlein , Walter Metzner

The two-dimensional extended Hubbard model that includes a nearest- neighbor Heisenberg interaction is studied using a mean-field theory where quasiparticles are defined by an U(8) group of canonical transformations. The theory is a…

Condensed Matter · Physics 2009-10-22 A. B. Eriksson , T. Einarsson , S. Ostlund

The renormalization group approach to correlated fermions is used to determine the phase diagram of the oxide cuprates modeled by the t-t' Hubbard model at the Van Hove filling. Spin-dependent interactions give rise to instabilities…

Superconductivity · Physics 2007-05-23 J. V. Alvarez , J. Gonzalez , F. Guinea , M. A. H. Vozmediano

Unidirectional ("stripe") charge-density-wave order has now been established as a ubiquitous feature in the phase diagram of the cuprate high temperature (HT) superconductors, where it generally competes with superconductivity (SC).…

Strongly Correlated Electrons · Physics 2022-02-16 Hong-Chen Jiang , Steven A. Kivelson

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

Intertwining of spin, charge and pairing correlations in the repulsive two-dimensional Hubbard model is shown through unrestricted variational calculations, with projected wavefunctions free of symmetry breaking. A crossover from…

Strongly Correlated Electrons · Physics 2015-10-20 Olivier Juillet , Raymond Frésard

A model is introduced describing the interplay between superconductivity and spin-ordering. It is characterized by on-site repulsive electron-electron interactions, causing antiferromagnetism, and nearest-neighbor attractive interactions,…

Superconductivity · Physics 2009-10-31 C. N. A. van Duin , J. Zaanen

The moir\'e Hubbard model describes correlations in certain homobilayer twisted transition metal dichalcogenides. Using exact diagonalization and density matrix renormalization group methods, we find magnetic Mott insulating and metallic…

Strongly Correlated Electrons · Physics 2022-11-15 Alexander Wietek , Jie Wang , Jiawei Zang , Jennifer Cano , Antoine Georges , Andrew Millis

The two-dimensional Hubbard model is studied for small values of the interaction strength (U of the order of the hopping amplitude t), using a variational ansatz well suited for this regime. The wave function, a refined Gutzwiller ansatz,…

Superconductivity · Physics 2019-07-19 Dionys Baeriswyl

Competing inhomogeneous orders are a central feature of correlated electron materials including the high-temperature superconductors. The two- dimensional Hubbard model serves as the canonical microscopic physical model for such systems.…

The phenomena of superconductivity and charge density waves are observed in close vicinity in many strongly correlated materials. Increasing evidence from experiments and numerical simulations suggests both phenomena can also occur in an…

Strongly Correlated Electrons · Physics 2025-09-22 Niccolò Baldelli , Hannes Karlsson , Benedikt Kloss , Matthew Fishman , Alexander Wietek

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
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