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The Hubbard-Holstein model describes fermions on a discrete lattice, with on-site repulsion between fermions and a coupling to phonons that are localized on sites. Generally, at half-filling, increasing the coupling $g$ to the phonons…

Strongly Correlated Electrons · Physics 2019-02-07 F. Hébert , Bo Xiao , V. G. Rousseau , R. T. Scalettar , G. G. Batrouni

The attractive Fermi-Hubbard model is the simplest theoretical model for studying pairing and superconductivity of fermions on a lattice. Although its s-wave pairing symmetry excludes it as a microscopic model for high-temperature…

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

The d-wave pairing correlations along with spin correlation are calculated with quantum Monte Carlo method for the two-dimensional Hubbard model on lattice structures representing organic superconductors $\kappa$-(BEDT-TTF)$_2$X and…

Strongly Correlated Electrons · Physics 2009-10-31 Kazuhiko Kuroki , Hideo Aoki

Motivated by the experimental detection of superconductivity in the low-carrier density half-Heusler compound YPtBi, we study the pairing instabilities of three-dimensional strongly spin-orbit coupled semimetals with a quadratic band…

Superconductivity · Physics 2018-01-03 Lucile Savary , Jonathan Ruhman , Jörn W. F. Venderbos , Liang Fu , Patrick A. Lee

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

In the present paper, we analyze the properties of the unbalanced superconducting state on a square lattice with the constant value of the electron-phonon coupling function. We conduct our analysis in the framework of the Eliashberg…

Superconductivity · Physics 2018-10-22 Kamila A. Szewczyk , Radosław Szczȩśniak , Dominik Szczȩśniak

A model to describe electronic correlations in energy bands is considered. The model is a generalization of the conventional Hubbard model that allows for the fact that the wavefunction for two electrons occupying the same Wannier orbital…

Strongly Correlated Electrons · Physics 2009-11-07 J. E. Hirsch

Recent work on an electron-phonon model in two-dimensions is reviewed and some new results are presented. We utilize both Quantum Monte Carlo simulations and Migdal-Eliashberg theory. The type of electron-ion coupling considered is on-site.…

Superconductivity · Physics 2021-01-29 F. Marsiglio

We construct the symmetry adapted low energy effective Hamiltonian for the electronic states in the vicinity of the Fermi level in iron based superconductors. We use Luttinger's method of invariants, expanding about Gamma and M points in…

Strongly Correlated Electrons · Physics 2013-10-16 Vladimir Cvetkovic , Oskar Vafek

Using a variational Monte Carlo method, we study competitions of strong electron-electron and electron-phonon interactions in the ground state of Holstein-Hubbard model on a square lattice. At half filling, an extended intermediate metallic…

Superconductivity · Physics 2017-11-10 Takahiro Ohgoe , Masatoshi Imada

We study the temperature-filling phase diagram of the single-band Holstein model in two dimensions using the self-consistent Migdal approximation, where both the electron and phonon self-energies are treated on an equal footing. By…

Superconductivity · Physics 2019-02-05 Philip M. Dee , Ken Nakatsukasa , Yan Wang , Steven Johnston

We present a comprehensive theoretical investigation of the superconducting (SC) properties of hexagonal HfRuAs ($h$-HfRuAs) by solving anisotropic Migdal--Eliashberg (ME) equations with the inputs from \textit{ab initio} calculations of…

Superconductivity · Physics 2026-05-19 P. V. Sreenivasa Reddy , Guang-Yu Guo

Phase diagram of the Hubbard-Holstein model in the coexistence of electron-electron and electron-phonon interactions has been theoretically obtained with the density-matrix renormalization group method for one-dimensional (1D) systems,…

Strongly Correlated Electrons · Physics 2008-01-16 Masaki Tezuka , Ryotaro Arita , Hideo Aoki

Several state-of-the-art numerical methods have observed static or fluctuating spin and charge stripes in doped two-dimensional Hubbard models, suggesting that these orders play a significant role in shaping the cuprate phase diagram. Many…

Strongly Correlated Electrons · Physics 2022-12-05 Seher Karakuzu , Andy Tanjaroon Ly , Peizhi Mai , James Neuhaus , Thomas A. Maier , Steven Johnston

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 extend the study of the Fermi surface instability of the Pomeranchuk type into systems with orbital band structures, which are common features in transition metal oxides. Band hybridization significantly shifts the spectra weight of the…

Strongly Correlated Electrons · Physics 2009-11-12 Wei-cheng Lee , Congjun Wu

The single-polaron band structure of the Holstein model in one and two dimensions is studied using a new form of resummed strong-coupling perturbation theory. Well converged results are obtained for phonon frequencies of the order of the…

Condensed Matter · Physics 2007-05-23 Walter Stephan

Superconductivity in compressed H3S arises from the interplay between high-frequency phonons and a pronounced van Hove singularity near the Fermi level. Using first-principles calculations, we investigate the superconducting properties of…

Superconductivity · Physics 2025-10-31 Shashi B. Mishra , Elena R. Margine

Migdal-Eliashberg theory is one of the state-of-the-art methods for describing conventional superconductors from first principles. However, widely used implementations assume a constant density of states around the Fermi level, which…