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Significant advances in numerical techniques have enabled recent breakthroughs in the study of various properties of the Hubbard model - a seemingly simple, yet complex model of correlated electrons that has been a focus of study for more…

Strongly Correlated Electrons · Physics 2021-09-14 E. W. Huang , W. O. Wang , J. K. Ding , T. Liu , F. Liu , X. -X. Huang , B. Moritz , T. P. Devereaux

The spinless Falicov-Kimball model on the simple cubic lattice is analyzed in the Hubbard-I and dynamical mean field (DMFT) approximations. The Matsubara and real frequency itinerant electron Green's functions, the evolution of the system…

Strongly Correlated Electrons · Physics 2015-06-12 A. O. Sboychakov

We perform numerically exact determinant quantum Monte Carlo simulations of the Hubbard model and analyze pairing tendencies by evaluating correlation functions at the imaginary-time midpoint ($\tau=\beta/2$), which suppresses…

Superconductivity · Physics 2025-10-21 Wen O. Wang , Thomas P. Devereaux

In the present work ferromagnetic ordering in the Hubbard model generalized by taking into account the inter-atomic exchange interaction and correlated hopping in partially filled narrow band is considered. In the case of weak…

Strongly Correlated Electrons · Physics 2007-05-23 L. Didukh , O. Kramar , Yu. Skorenkyy

I review progress in measurements of the dynamic spin susceptibility in the normal state which yield a new phase diagram and discuss microscopic calculations which yield qualitative, and in many cases, quantitative agreement with the…

Condensed Matter · Physics 2009-10-30 David Pines

Strong electron correlations lie at the origin of transformative phenomena such as colossal magneto-resistance and high-temperature superconductivity. Already near room temperature, doped copper oxide materials display remarkable features…

We investigate the phase diagram of the \tj Model on a triangular lattice using a Variational Monte-Carlo approach. We use an extended set of Gutzwiller projected fermionic trial wave-functions allowing for simultaneous magnetic and…

Superconductivity · Physics 2007-05-23 Cédric Weber , Andreas Laeuchli , Frédéric Mila , Thierry Giamarchi

In this review, we single out selected universal features of high-$T_c$ and related systems, which can be compared with experiment. We start with the concept of real-space pairing, combined with strong correlations. The discussion of…

Strongly Correlated Electrons · Physics 2022-03-23 Józef Spałek , Maciej Fidrysiak , Michał Zegrodnik , Andrzej Biborski

We present a technique to map an electronic model with local interactions (a generalized multi-orbital Hubbard model) onto an effective model of interacting classical spins, by requiring that the thermodynamic potentials associated to spin…

Strongly Correlated Electrons · Physics 2015-05-27 Andrea Secchi , Alexander I. Lichtenstein , Mikhail I. Katsnelson

We investigate non-perturbative features of a three-dimensional Abelian Higgs model with singly- and doubly-charged scalar fields coupled to a single compact Abelian gauge field. The model is pretending to describe various planar systems of…

Strongly Correlated Electrons · Physics 2008-11-26 M. Bock , M. N. Chernodub , E. -M. Ilgenfritz , A. Schiller

The Hubbard model is a "highly oversimplified model" for electrons in a solid which interact with each other through extremely short ranged repulsive (Coulomb) interaction. The Hamiltonian of the Hubbard model consists of two pieces; H_hop…

Strongly Correlated Electrons · Physics 2008-02-03 Hal Tasaki

Within the Kotliar-Ruckenstein slave-boson approach, we have studied the antiferromagnetic (AF) properties for the $t$-$t'$-$t''$-$U$ model applied to electron-doped cuprate superconductors. Due to inclusion of spin fluctuations the AF…

Strongly Correlated Electrons · Physics 2009-11-11 Qingshan Yuan , Feng Yuan , C. S. Ting

The electron correlations in narrow energy bands are examined in framework of the Hubbard model. The single-particle Green function and energy spectrum are obtained in paramagnetic state at half-filling by means of new two-pole…

Strongly Correlated Electrons · Physics 2011-12-30 Leonid Didukh , Yuriy Skorenkyy

A microscopic theory of the electronic spectrum and of superconductivity within the t-J model on the honeycomb lattice is developed. We derive the equations for the normal and anomalous Green functions in terms of the Hubbard operators by…

Superconductivity · Physics 2019-07-24 A. A. Vladimirov , D. Ihle , N. M. Plakida

We consider an electrostatically induced square lattice of quantum dots and study the role of electron-electron correlations in the resulting electronic features of the system. We utilize the Wannier functions methodology in order to…

Strongly Correlated Electrons · Physics 2022-01-11 A. Biborski , M. P. Nowak , M. Zegrodnik

We have studied the extended Hubbard model with pair hopping in the atomic limit for arbitrary electron density and chemical potential. The Hamiltonian considered consists of (i) the effective on-site interaction U and (ii) the intersite…

Strongly Correlated Electrons · Physics 2012-05-01 Konrad Kapcia , Stanisław Robaszkiewicz , Roman Micnas

We consider the effect of strong electron-electron attraction on superconductivity in the dilute system of the negative U-centers. They couple to the conducting electronic states and mediate attraction between electrons. We predict the…

Superconductivity · Physics 2020-12-24 Alexander Yu. Zyuzin

In the model considered, the nonlocal interaction of the fermions in different sublattices of a bipartite lattice is introduced. It can also be regarded as local interaction of fermions with opposite ``hypercharge''. The corresponding term…

Superconductivity · Physics 2007-05-23 Eugene Pivovarov

We solve the attractive Hubbard model for arbitrary interaction strengths within dynamical mean-field theory. We compute the transition temperature for superconductivity and analyze electron pairing in the normal phase. The normal state is…

Strongly Correlated Electrons · Physics 2009-11-07 M. Keller , W. Metzner , U. Schollwoeck

We analyze behavior of correlated electrons described by Hubbard-like models at intermediate and strong coupling. We show that with increasing interaction a pole in a generic two-particle Green function is approached. The pole signals…

Strongly Correlated Electrons · Physics 2009-10-30 V. Janis