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A new lattice model of interacting electrons is presented. It can be viewed as a classical Hubbard model in which the energy associated to electron itinerance is proportional to the total number of possible electron jumps. Symmetry…

Statistical Mechanics · Physics 2009-11-11 Andre M. C. Souza

We investigate the interplay of phonons and correlations in superconducting pairing by introducing a model Hamiltonian with on-site repulsion and couplings to several vibration branches having the Cu-O plane of the cuprates as a paradigm.…

Superconductivity · Physics 2009-11-10 Enrico Perfetto , Michele Cini

Local spin fluctuations provide the glue for orbital-singlet spin-triplet pairing in the doped Mott insulating regime of multi-orbital Hubbard models. At large Hubbard repulsion $U$, the pairing susceptibility is nevertheless very low,…

Strongly Correlated Electrons · Physics 2018-04-18 Philipp Werner , Hugo Strand , Shintaro Hoshino , Yuta Murakami , Martin Eckstein

We provide analytical and numerical solution of the two band fermion model with on-site Coulomb at half filling. In limiting cases for generate bands and one flat band, the model reduces to the Hubbard and Falicov-Kimball models,…

Strongly Correlated Electrons · Physics 2020-10-27 Igor N. Karnaukhov

We investigate pairing symmetry and a transition temperature in a quasi-one-dimensional repulsive Hubbard model. We solve the Eliashberg equation using the third-order perturbation expansion with respect to the on-site repulsion $U$. We…

Superconductivity · Physics 2009-11-10 Sotaro Sasaki , Hiroaki Ikeda , Kosaku Yamada

Using a two-channel Anderson model, we develop a theory of composite pairing in the 115 family of heavy fermion superconductors that incorporates the effects of f-electron valence fluctuations. Our calculations introduce "symplectic Hubbard…

Superconductivity · Physics 2012-01-10 Rebecca Flint , Andriy H. Nevidomskyy , Piers Coleman

According to energy band theory, ground states of a normal conductor and insulator can be obtained by filling electrons individually into energy levels, without any restrictions. It fails when the electron-electron correlation is taken into…

Strongly Correlated Electrons · Physics 2021-12-30 K. L. Zhang , Z. Song

We study the semiclassical dynamics of interacting electrons in a biased crystal lattice. A complex dynamical scenario emerges from the interplay between the Coulomb and the external electric fields. When the electrons are far apart, the…

Strongly Correlated Electrons · Physics 2013-06-27 Christopher Gaul , Antonio Rodríguez , Rodrigo P. A. Lima , Francisco Domínguez-Adame

The two-dimensional many-body Holstein-Hubbard model in the T=0 normal state is examined within the framework of the self-consistent coupling of charge fluctuation correlations to the vibrational ones. The parameters of our model are the…

Strongly Correlated Electrons · Physics 2009-10-31 T. Hakioglu , M. Ye. Zhuravlev

A consistent microscopic theory of superconductivity for strongly correlated electronic systems is presented. The Dyson equation for the normal and anomalous Green functions for the projected (Hubbard) electronic operators is derived. To…

Strongly Correlated Electrons · Physics 2021-01-19 N. M. Plakida

Within the framework of the Composite Operator Method, a three-pole solution for the two-dimensional Hubbard model is presented and analyzed in detail. In addition to the two Hubbard operators, the operatorial basis comprises a third…

Strongly Correlated Electrons · Physics 2014-02-26 Adolfo Avella

We consider the extended Hubbard model on a two-dimensional square lattice at half-filling. The model is investigated using the strong coupling diagram technique. We sum infinite series of ladder diagrams allowing for full-scale charge and…

Strongly Correlated Electrons · Physics 2023-05-22 A. Sherman

Electron--electron repulsion, on the one hand, can result in bound pair, which has heavy effective mass. On the other hand, it is also the cause of Mott insulator. We study the effect of a staggered magnetic field on a Hubbard model. We…

Strongly Correlated Electrons · Physics 2022-11-16 X. Z. Zhang , Z. Song

The equations of motion of pair-like excitations in the superconducting state are studied for various types of pairing using the random phase approximation. The collective modes are computed of a layered electron gas described by a $t-t'$…

Condensed Matter · Physics 2009-10-22 D. van der Marel

Using the strong coupling diagram technique, we study the one-band repulsive Hubbard model on a two-dimensional square lattice in a wide range of chemical potentials $\mu$. Infinite sequences of diagrams describing interactions of electrons…

Strongly Correlated Electrons · Physics 2020-01-29 A. Sherman

We propose a microscopic theory of superconductivity for systems with strong electron correlations such as cuprates in the framework of the extended Hubbard model where the intersite Coulomb repulsion and electron-phonon interaction are…

Strongly Correlated Electrons · Physics 2015-08-20 Nikolay M. Plakida , Viktor S. Oudovenko

We show that when anharmonicity is added to the electron-phonon interaction it facilitates electron pairing in a localized state. Such localized state appears as singlet state of two electrons bound with the traveling local lattice soliton…

Superconductivity · Physics 2010-11-29 M. G. Velarde , L. Brizhik , A. P. Chetverikov , L. Cruzeiro , W. Ebeling , G. Roepke

We study antiferromagnetism and single-particle properties in the two-dimensional half-filled Hubbard model at low temperature. Collective spin fluctuations are governed by a non-linear sigma model that we derive from the Hubbard model for…

Strongly Correlated Electrons · Physics 2007-05-23 K. Borejsza , N. Dupuis

The stability of hole bound states in the t-J model including short-range Coulomb interactions is analyzed using computational techniques on ladders with up to $2 \times 30$ sites. For a nearest-neighbors (NN) hole-hole repulsion, the…

Condensed Matter · Physics 2009-10-31 C. Gazza , G. Martins , J. Riera , E. Dagotto

We have studied the d-wave pairing-instability in the two-dimensional Holstein-Hubbard model at the level of a full fluctuation exchange approximation which treats both Coulomb and electron-phonon (EP) interaction diagrammatically on an…

Superconductivity · Physics 2009-10-30 C. -H. Pao , H. -B. Schüttler