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The evidence for the key role of the $\sigma$ bands in the electronic properties of MgB$_2$ points to the possibility of nonadiabatic effects in the superconductivity of these materials. These are governed by the small value of the Fermi…

Superconductivity · Physics 2009-11-07 E. Cappelluti , S. Ciuchi , C. Grimaldi , L. Pietronero , S. Strässler

We investigate the dynamical effects of electron-phonon coupling (EPC) on the superconducting properties of two-dimensional (2D) systems, calculating the Eliashberg function in terms of dynamically renormalized phonons. By studying…

Superconductivity · Physics 2025-04-29 Juraj Krsnik , Dino Novko , Osor Slaven Barišić

We investigate the influence of electron-phonon coupling on the superexchange interaction of magnetic insulators. Both the Holstein-Hubbard model where the phonons couple to the electron density, as well as an extended Su, Schrieffer,…

Condensed Matter · Physics 2009-10-28 W. Stephan , M. Capone , M. Grilli , C. Castellani

We investigate a model for the CuO_2 plane of high-T_c superconductors where the charge carriers are coupled to A_{1g} and B_{1g} symmetric out-of plane vibrations of the oxygen atoms in the presence of local Hubbard correlations. The…

Strongly Correlated Electrons · Physics 2015-03-19 G. Seibold , M. Grilli , J. Lorenzana

Determinant quantum Monte Carlo (DQMC) simulations are used to study non-linear electron-phonon interactions in a two-dimensional Holstein-like model on a square lattice. We examine the impact of non-linear electron-lattice interactions on…

Superconductivity · Physics 2015-06-23 Shaozhi Li , S. Johnston

Based on recently proposed anti-ferromagnetic spin fluctuation exchange models for $d_{x^2-y^2}$-superconductors, we show that coupling to harmonic phonons {\it{cannot}} account for the observed isotope effect in the cuprate high-$T_c$…

Condensed Matter · Physics 2009-10-28 H. -B. Schüttler , C. -H. Pao

Investigations of non-adiabatic effects by including vertex corrections in the standard Eliashberg theory show that high phonon frequency is unfavorable to superconductivity in regime of strong vertex correction. This means that it is hard…

Superconductivity · Physics 2010-08-18 Fan Wei , J . L. Wang , L. J. Zou , Z. Zeng

The ground state polaron potential of 1D lattice of two-level molecules with spinless electrons and two Einstein phonon modes with quantum phonon-assisted transitions between the levels is found anharmonic in phonon displacements. The…

Soft Condensed Matter · Physics 2007-05-23 Eva Majernikova , J. Riedel , S. Shpyrko

Looking for superconductors with higher transition temperature requires a guiding principle. In conventional superconductors, electrons pair up into Cooper pairs via the retarded attraction mediated by electron-phonon coupling.…

Strongly Correlated Electrons · Physics 2015-11-11 Da Wang , Wan-Sheng Wang , Qiang-Hua Wang

Including the effect of lattice anharmonicity on electron-phonon interactions has recently garnered attention due to its role as a necessary and significant component in explaining various phenomena, including superconductivity, optical…

We develop the nonadiabatic polaron theory of superconductivity of $M_{x}C_{60}$ taking into account the polaron band narrowing and realistic electron-phonon and Coulomb interactions. We argue that the crossover from the BCS weak-coupling…

Condensed Matter · Physics 2009-10-28 A. S. Alexandrov , V. V. Kabanov

We present a comprehensive first-principles analysis of the non-adiabatic effects due to the electron-phonon interaction on the vibrational spectrum of the electron-doped monolayer MoS$_{2}$. Deep changes in the Fermi surface upon doping…

Materials Science · Physics 2020-02-26 Peio Garcia-Goiricelaya , Jon Lafuente-Bartolome , Idoia G. Gurtubay , Asier Eiguren

Motivated by recent experiments realizing correlated phenomena and superconductivity in 2D van der Waals devices, we consider the general problem of whether correlation effects may be enhanced by modifying band structure while keeping a…

Strongly Correlated Electrons · Physics 2019-06-19 Edwin W. Huang , Mohammad-Sadegh Vaezi , Zohar Nussinov , Abolhassan Vaezi

We explore multiband effects on d-wave superconducting instabilities driven by electron-electron interactions. Our models on the two-dimensional square lattice consist of a main band with an extended Fermi surface and predominant weight…

Superconductivity · Physics 2012-04-25 Stefan Uebelacker , Carsten Honerkamp

In this paper we investigate the role of the electronic correlation on the hole doping dependence of electron-phonon and superconducting properties of cuprates. We introduce a simple analytical expression for the one-particle Green's…

Strongly Correlated Electrons · Physics 2009-11-10 L. Boeri , E. Cappelluti , C. Grimaldi , L. Pietronero

We study the small-polaron problem of a single electron interacting with the lattice for the Holstein model in the adiabatic limit on a comb lattice, when the electron-phonon interaction acts only on the base sites. The ground state…

Strongly Correlated Electrons · Physics 2007-08-07 Ilaria Meccoli , Massimo Capone

The subject of the present study is the double-layer square-lattice system with the intralayer phonon modulations. We investigate the superconducting and excitonic pairings, as well as their coexistence, as functions of various physical…

Strongly Correlated Electrons · Physics 2025-11-24 V. Apinyan , M. Sahakyan

In this work we analyze impact of non-adiabatic effects on the superconducting energy gap in the hole-doped graphene. By using the Eliashberg formalism beyond the Migdal's theorem, we present that the non-adiabatic effects strongly…

Superconductivity · Physics 2023-04-12 Adam Z. Kaczmarek , Ewa A. Drzazga-Szczęśniak

We study two aspects of the superconductivity in a cuprate model system, its doping dependence and the influence of competing pairing mediators. We first include electron-phonon interactions beyond Migdal's approximation and solve…

Superconductivity · Physics 2024-07-12 Fabian Schrodi , Alex Aperis , Peter M. Oppeneer

We formulate a rigorous method for calculating a nonadiabatic (frequency-dependent) exchange-correlation (XC) kernel required for correct description of both equilibrium and nonequilibrium properties of strongly correlated systems within…

Strongly Correlated Electrons · Physics 2014-10-13 Volodymyr Turkowski , Talat S. Rahman