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An effective Hamiltonian for the Kohn-Luttinger superconductor is constructed and solved in the BCS approximation. The method is applied to the t-t' Hubbard model in two dimensions with the following results: (i) The superconducting phase…

Condensed Matter · Physics 2009-11-07 J. Mraz , R. Hlubina

We study the three-dimensional (3D) attractive Hubbard model by means of the Determinant Quantum Monte Carlo method. This model is a prototype for the description of the smooth crossover between BCS superconductivity and Bose-Einstein…

Condensed Matter · Physics 2009-11-07 A. Sewer , X. Zotos , H. Beck

By revisiting the path-integral formulation of the Hubbard model, we propose a theoretical approach based on a semiclassical approximation employing an unconventional coherent-state representation. Within this framework, a subset of the…

Strongly Correlated Electrons · Physics 2026-04-06 Yuki Yamasaki , Hidemaro Suwa , Cristian D. Batista , Shintaro Hoshino

We have studied electron correlations in the doped two-dimensional (2D) Hubbard model by using the coupled-cluster method (CCM) to investigate whether or not the method can be applied to correct the independent particle approximations…

Strongly Correlated Electrons · Physics 2009-10-31 Yoshihiro Asai , Hideki Katagiri

We present recent theoretical results on superconductivity in correlated-electron systems, especially in the two-dimensional Hubbard model and the three-band d-p model. The mechanism of superconductivity in high-temperature superconductors…

Strongly Correlated Electrons · Physics 2013-07-10 Takashi Yanagisawa , Mitake Miyazaki , Kunihiko Yamaji

Exact formulas for the optical conductivity and the Hall conductivity of the two dimensional Hubbard model are derived in terms of an effective theory description of the local moment fluctuation in the system. In this framework, the quantum…

Strongly Correlated Electrons · Physics 2026-02-23 Xinyue Liu , Tao Li

The second-order reduced density matrix method (the RDM method) has performed well in determining energies and properties of atomic and molecular systems, achieving coupled-cluster singles and doubles with perturbative triples (CC SD(T))…

Strongly Correlated Electrons · Physics 2012-07-23 James S. M. Anderson , Maho Nakata , Ryo Igarashi , Katsuki Fujisawa , Makoto Yamashita

We have investigated the antiferromagnetic phase of the 2D, the 3D and the extended Hubbard models on a bipartite cubic lattice by means of the Composite Operator Method within a two-pole approximation. This approach yields a fully…

Strongly Correlated Electrons · Physics 2009-09-25 Adolfo Avella , Ferdinando Mancini , Roland Muenzner

A phase diagram is drawn in a parameter space of the nearly half-filled single band two-dimensional Hubbard model with U/t, t'/t and n as the parameters, U, t, t' and n being the on-site interaction, the nearest and second nearest neighbor…

Superconductivity · Physics 2016-08-15 Hisashi Kondo , Tôru Moriya

The Hubbard model with an additional bond-charge interaction $X$ is solved exactly in one dimension for the case $t=X$ where $t$ is the hopping amplitude. In this case the number of doubly occupied sites is conserved. In the sector with no…

Condensed Matter · Physics 2009-10-22 Andreas Schadschneider

In this paper we present for the first time the exact solution in the narrow-band limit of the 1D extended Hubbard model with nearest-neighbour spin-spin interactions described by an exchange constant J. An external magnetic field h is also…

Strongly Correlated Electrons · Physics 2015-06-12 F. Mancini , E. Plekhanov , G. Sica

We investigate the charge- and spin dynamical structure factors for the 2D one-band Hubbard model in the strong coupling regime within an extension of the Dynamical Cluster Approximation (DCA) to two-particle response functions. The full…

Strongly Correlated Electrons · Physics 2009-11-13 S. Hochkeppel , F. F. Assaad , W. Hanke

The equation for the electron Green's function of the fermionic Hubbard model, derived using the strong coupling diagram technique, is solved self-consistently for the near-neighbor form of the kinetic energy and for half-filling. In this…

Strongly Correlated Electrons · Physics 2015-06-11 A. Sherman

We propose a formalism to take account of the correction of the spatial fluctuations to the local self-energy obtained by the dynamical mean-field approximation. For this purpose, the approximate dynamical susceptibility in the framework of…

Strongly Correlated Electrons · Physics 2009-11-11 Hiroaki Kusunose

This paper introduces a novel ansatz-based technique for solution of the Hubbard model over two length scales. Short range correlations are treated exactly using a dynamical cluster approximation QMC simulation, while longer-length-scale…

Strongly Correlated Electrons · Physics 2009-11-10 J. P. Hague , Mark Jarrell , T. C. Schulthess

The two-dimensional Hubbard model exhibits superconductivity with d-wave symmetry even at half-filling in the presence of next-nearest neighbor hopping. Using plaquette cluster dynamical mean-field theory with a continuous-time quantum…

Strongly Correlated Electrons · Physics 2011-09-27 Michael Sentef , Philipp Werner , Emanuel Gull , Arno P. Kampf

The two-layer Hubbard model is studied by using the composite operator method. Magnetic properties of the model in the normal state are analyzed by studying the uniform static spin magnetic susceptibility as a function of doping and…

Strongly Correlated Electrons · Physics 2009-10-31 Ferdinando Mancini , Volodymyr Turkowski

There are few exact results for the Hubbard model on bipartite lattices of spatial dimension $d>1$. Nevertheless, the Hubbard model with transfer integral $t$ and onsite repulsion $U$ on bipartite lattices with $N_a$ sites, such as the…

Strongly Correlated Electrons · Physics 2026-05-19 J. M. P. Carmelo

We constructed the one-particle spectral functions (diagonal and off-diagonal) which reproduce BCS for weak coupling and which take into account the effect of correlations on superconductivity in the attractive Hubbard model. The diagonal…

Condensed Matter · Physics 2016-08-17 J. J. Rodríguez-Núñez , C. E. Cordeiro , A. Delfino

The Hubbard model represents the fundamental model for interacting quantum systems and electronic correlations. Using the two-dimensional half-filled Hubbard model at weak coupling as a testing ground, we perform a comparative study of a…