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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

A superconductor emerges as a condensate of electron pairs, which bind despite their strong Coulomb repulsion. Eliashberg's theory elucidates the mechanisms enabling them to overcome this repulsion and predicts the transition temperature…

Superconductivity · Physics 2024-01-02 Amir Dalal , Jonathan Ruhman , Vladyslav Kozii

The Hund's-rule-exchange induced and coexisting spin-triplet paired and magnetic states are considered within the doubly degenerate Hubbard model with interband hybridization. The Hartree-Fock approximation combined with the…

Superconductivity · Physics 2015-06-05 Michał Zegrodnik , Jozef Spałek

Two-dimensional orbital compass model is studied as an interacting itinerant electron model. A Hubbard-type tight-binding model, from which the orbital compass model is derived in the strong coupling limit, is identified. This model is…

Strongly Correlated Electrons · Physics 2015-05-30 J. Nasu , S. Ishihara

We investigate the influence of spin-orbit coupling $\lambda$ in strongly-correlated multiorbital systems that we describe by a three-orbital Hubbard-Kanamori model on a Bethe lattice. We solve the problem at all integer fillings $N$ with…

Strongly Correlated Electrons · Physics 2018-11-30 Robert Triebl , Gernot J. Kraberger , Jernej Mravlje , Markus Aichhorn

Observation of robust superconductivity in some of the iron based superconductors in the vicinity of a Lifshitz point where a spin density wave instability is suppressed as the {hole} band drops below the Fermi energy raise questions for…

Superconductivity · Physics 2016-08-30 Vivek Mishra , Douglas J. Scalapino , Thomas A. Maier

Electron correlations in the two-orbital Hubbard model at half-filling are investigated by combining dynamical mean field theory with the exact diagonalization method. We systematically study how the interplay of the intra- and inter-band…

Strongly Correlated Electrons · Physics 2009-11-07 Akihisa Koga , Yoshiki Imai , Norio Kawakami

A dynamic cluster quantum Monte Carlo algorithm is used to study a spin susceptibility representation of the pairing interaction for the two-dimensional Hubbard model with an on-site Coulomb interaction equal to the bandwidth for various…

Superconductivity · Physics 2009-11-13 T. A. Maier , A. Macridin , M. Jarrell , D. J. Scalapino

The nature of unconventional superconductivity is intimately linked to the microscopic nature of the pairing interactions. In this work, motivated by cubic heavy fermion compounds with embedded multipolar moments, we theoretically…

Superconductivity · Physics 2022-03-07 Adarsh S. Patri , Yong Baek Kim

Electron-electron and electron-phonon interactions are responsible for the formation of spin, charge, and superconducting correlations in layered quantum materials. A paradigmatic model for such materials that captures both kinds of…

Strongly Correlated Electrons · Physics 2026-03-16 Aiman Al-Eryani , Sabine Andergassen , Michael M. Scherer

We present a theory of superconducting pairing originating from soft critical fluctuations near isospin-polarized states in rhombohedral trilayer graphene. Using a symmetry-based approach, we determine possible isospin order types and…

Superconductivity · Physics 2021-09-10 Zhiyu Dong , Leonid Levitov

In iron pnictides, we find that the moderate electron-phonon interaction due to the Fe-ion oscillation can induce the critical d-orbital fluctuations, without being prohibited by the Coulomb interaction. These fluctuations give rise to the…

Strongly Correlated Electrons · Physics 2010-04-19 Hiroshi Kontani , Seiichiro Onari

Quantum interactions exchanging different types of particles play a pivotal r\^{o}le in quantum many-body theory, but they are not sufficiently investigated from a mathematical perspective. Here, we consider a system made of two fermions…

Mathematical Physics · Physics 2025-06-12 J. -B. Bru , W. de Siqueira Pedra , A. Ramer dos Santos

We study superconductivity in two-band models where one of the bands does or does not intersect the Fermi level depending on the parameter values. Applying a many-variable variational Monte-Carlo method for a Hubbard model on two-leg ladder…

Superconductivity · Physics 2020-05-20 Daichi Kato , Kazuhiko Kuroki

Quasiparticle bands of the two-dimensional Hubbard model are calculated using the Roth two-pole approximation to the one particle Green's function. Excellent agreement is obtained with recent Monte Carlo calculations, including an anomalous…

Condensed Matter · Physics 2016-08-31 J. Beenen , D. M. Edwards

We examine the possibility that the superconductivity in the newly discovered FeAs materials may be caused by the Coulomb interaction between d-electrons of the iron atoms. We find that when the Hund's rule ferromagnetic interaction is…

Superconductivity · Physics 2009-11-13 Patrick A. Lee , Xiao-Gang Wen

It has been recently shown that the particle-hole symmetric Anderson impurity model can be mapped onto a $Z_2$ slave-spin theory without any need of additional constraints. Here we prove by means of Numerical Renormalization Group that the…

Strongly Correlated Electrons · Physics 2012-03-07 Pier Paolo Baruselli , Michele Fabrizio

We determine the localization threshold in a partially filled and orbitally degenerate model of correlated electrons. Particular emphasis is put on a non-integer band filling, when the system decomposes into the localized and the itinerant…

Strongly Correlated Electrons · Physics 2015-06-25 Jakub Jedrak , Jozef Spalek , Gertrud Zwicknagl

In this paper, a generalization of standard spin fluctuation theory is considered by replacing the simple Hubbard interaction by the screened Hartree-Fock interaction for f electrons. This model is then used in both an LS and a JJ coupling…

Condensed Matter · Physics 2009-10-22 M. R. Norman

To describe the cuprate superconductors, models of strongly correlated electronic systems, such as the Hubbard or t-J models, are commonly employed. To study these models, projected (Hubbard) operators have to be used. Due to the…

Strongly Correlated Electrons · Physics 2016-12-21 Nikolay M. Plakida
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