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The ground state of the two-dimensional three-band Hubbard model in oxide superconductors is investigated by using the variational Monte Carlo method. The Gutzwiller-projected BCS and spin- density wave (SDW) functions are employed in the…

Strongly Correlated Electrons · Physics 2009-11-07 Takashi Yanagisawa , Soh Koike , Kunihiko Yamaji

Unconventional phases often occur where two competing mechanisms compensate. An excellent example is the ionic Hubbard model where the alternating local potential $\delta$, favoring a band insulator (BI), competes with the local repulsion…

Strongly Correlated Electrons · Physics 2016-05-19 Mohsen Hafez-Torbati , Götz S. Uhrig

The ground states of the two-dimensional repulsive Hubbard model are studied within the unrestricted Hartree-Fock (UHF) theory. Magnetic and charge properties are determined by systematic, large-scale, exact numerical calculations, and…

Strongly Correlated Electrons · Physics 2013-09-20 Jie Xu , Chia-Chen Chang , Eric J. Walter , Shiwei Zhang

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 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

We consider a model proposed before for a time-reversal-invariant topological superconductor (TRITOPS) which contains a hopping term $t$, a chemical potential $\mu$, an extended $s$-wave pairing $\Delta$ and spin-orbit coupling $\lambda$.…

Mesoscale and Nanoscale Physics · Physics 2019-09-11 Armando A. Aligia , Alberto Camjayi

Partially-projected Gutzwiller variational wavefunctions are used to describe the ground state of disordered interacting systems of fermions. We compare several different variational ground states with the exact ground state for disordered…

Strongly Correlated Electrons · Physics 2009-06-19 A. Farhoodfar , X. Chen , R. J. Gooding , W. A. Atkinson

A multi-reference configuration mixing scheme is used to describe the ground state, characterized by well defined spin and space group symmetry quantum numbers as well as doping fractions $N_{e}/N_{sites}$, of one dimensional Hubbard…

Strongly Correlated Electrons · Physics 2015-06-18 R. Rodríguez-Guzmán , Carlos A. Jiménez-Hoyos , Gustavo E. Scuseria

We determine the spin and charge orders in the ground state of the doped two-dimensional (2D) Hubbard model in its simplest form, namely with only nearest-neighbor hopping and on-site repulsion. At half-filling, the ground state is known to…

Strongly Correlated Electrons · Physics 2022-03-31 Hao Xu , Hao Shi , Ettore Vitali , Mingpu Qin , Shiwei Zhang

An improved variational ansatz is proposed to capture the most striking properties of the ground state of a slightly biased attractive two-site Bose-Hubbard Hamiltonian. Our ansatz, albeit its simplicity, is found to capture well the exact…

Quantum Gases · Physics 2015-05-30 Marina Melé-Messeguer , Bruno Juliá-Díaz , Artur Polls

We present a new approach to investigate the coexistence of antiferromagnetism and d-wave superconductivity in the two dimensional extended Hubbard model within a numerically exact cluster dynamical mean-field approximation. Self-consistent…

Strongly Correlated Electrons · Physics 2009-10-31 A. I. Lichtenstein , M. I. Katsnelson

Many strongly correlated systems exhibit strange metallic behavior in certain parameter regimes characterized by anomalous transport properties that are irreconcilable with a Fermi-liquid-like description in terms of quasiparticles. The…

Strongly Correlated Electrons · Physics 2024-10-29 Andrew A. Allocca

We show that backflow correlations in the variational wave function for the Hubbard model greatly improve the previous results given by the Slater-Jastrow state, usually considered in this context. We provide evidence that, within this…

Strongly Correlated Electrons · Physics 2015-05-27 Luca F. Tocchio , Federico Becca , Claudius Gros

In the last decades multifaceted manifestations of the breakdown of the self-consistent perturbation theory have been identified for the many-electron problem. Yet, the investigations have been so far mostly limited to paramagnetic states,…

Strongly Correlated Electrons · Physics 2025-09-03 Matthias Reitner , Lorenzo Del Re , Massimo Capone , Alessandro Toschi

The ground state (GS) properties of the quasi-one-dimensional $AB_2$ Hubbard model are investigated taking the effects of charge and spin quantum fluctuations on equal footing. In the strong-coupling regime, we derive a low-energy…

Strongly Correlated Electrons · Physics 2018-12-17 V. M. Martinez Alvarez , M. D. Coutinho-Filho

We study the interplay between electron correlation and disorder in the two-dimensional Hubbard model at half-filling by means of a variational wave function that can interpolate between Anderson and Mott insulators. We give a detailed…

Strongly Correlated Electrons · Physics 2015-05-13 Maria Elisabetta Pezzoli , Federico Becca

The Hubbard model is reformulated in terms of different ``colored'' fermion species for the electrons or holes at different lattice sites. Antiferromagnetic ordering or d-wave superconductivity can then be described in terms of…

Strongly Correlated Electrons · Physics 2009-10-31 Tobias Baier , Eike Bick , Christof Wetterich

We develop a dynamical mean-field theory approach for the spiral magnetic order, changing to a local coordinate frame with preferable spin alignment along the $z$-axis, which can be considered with the impurity solvers treating the spin…

Strongly Correlated Electrons · Physics 2023-06-06 I. A. Goremykin , A. A. Katanin

The ground-state phase diagrams of the three-orbital t2g Hubbard model are studied using a Hartree-Fock approximation. First, a complete set of multipolar order parameters for t2g models defined in terms of the effective total angular…

Strongly Correlated Electrons · Physics 2022-01-05 Naoya Chikano , Shintaro Hoshino , Hiroshi Shinaoka

We present an approach for determining susceptibilities and order parameters in multi-band Hubbard model within functional renormalization group method, and apply it to study various instabilities of the FeAs-based high temperature…

Strongly Correlated Electrons · Physics 2013-10-03 Sung-Jin Oh , Hak-Chol Pak , Kuk-Chol Ri