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We solve the anisotropic, full-bandwidth and non-adiabatic Eliashberg equations for phonon-mediated superconductivity by fully including the first vertex correction in the electronic self-energy. The non-adiabatic equations are solved…

超导电性 · 物理学 2020-07-06 Fabian Schrodi , Peter M. Oppeneer , Alex Aperis

The strong coupling Eliashberg theory plus vertex correction is used to calculate maps of transition temperature (Tc) in parameter-space characterizing superconductivity. Based on these Tc maps, crossover behaviors are found when…

超导电性 · 物理学 2010-03-31 W. Fan

The influence of antiadiabatic phonons on the temperature of superconducting transition is considered within Eliashberg - McMillan approach in the model of discrete set of (optical) phonon frequencies. A general expression for…

超导电性 · 物理学 2019-04-08 M. V. Sadovskii

The comparison study of high pressure superconducting state of recently synthesized H$_3$S and PH$_3$ compounds are conducted within the framework of the strong-coupling theory. By generalization of the standard Eliashberg equations to…

超导电性 · 物理学 2017-07-05 Artur P. Durajski

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…

超导电性 · 物理学 2023-04-12 Adam Z. Kaczmarek , Ewa A. Drzazga-Szczęśniak

Fermi energies in fullerene compounds and cuprates are extremely small as consequence of the small number of charge carriers and are comparable to the phonon frequency scale. In this situation the conventional Migdal-Eliashberg theory does…

超导电性 · 物理学 2009-10-31 M. Botti , E. Cappelluti , C. Grimaldi , L. Pietronero

Theory of superconductivity in two-band non-adiabatic systems with strong electron correlations in the linear approximation over non-adiabaticity is built in the article. Having assumed weak electron-phonon interaction analytical…

超导电性 · 物理学 2007-05-23 M. E. Palistrant , V. A. Ursu

The nonadiabatic electron-phonon corrections for the superconducting pairing are investigated for a specific tight-binding model corresponding to a 2d square lattice. This permits to investigate the role of various specific properties like…

超导电性 · 物理学 2009-10-31 A. Perali , C. Grimaldi , L. Pietronero

High-$T_c$ superconductors have Fermi energies $E_F$ much smaller than conventional metals comparable to phonon frequencies. In such a situation nonadiabatic effects are important. A generalization of Eliashberg theory in the nonadiabatic…

超导电性 · 物理学 2009-10-31 P. Paci , C. Grimaldi , L. Pietronero , E. Cappelluti

The standard Eliashberg - McMillan theory of superconductivity is essentially based on the adiabatic approximation. Here we present some simple estimates of electron - phonon interaction within Eliashberg - McMillan approach in non -…

超导电性 · 物理学 2020-02-03 M. V. Sadovskii

The adiabatic Born-Oppenheimer approximation is considered to be a robust approach that very rarely breaks down. Consequently, it is predominantly utilized to address various electron-phonon properties in condensed matter physics. By…

超导电性 · 物理学 2023-03-01 Nina Girotto , Dino Novko

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…

超导电性 · 物理学 2025-10-31 Shashi B. Mishra , Elena R. Margine

The high-temperature superconducting state in sulfur trihydride ($T_{C}=203$~K) has been investigated in the context of the non-adiabatic and anharmonic effects. The Migdal-Eliashberg equations and the extended Eliashberg equations, which…

超导电性 · 物理学 2016-09-21 A. P. Durajski , R. Szczesniak

Palladium hydrides exhibit the largest isotope-effect anomaly in superconductivity: replacing hydrogen with heavier isotopes increases the superconducting critical temperature. Although this behavior is commonly attributed to strong…

超导电性 · 物理学 2026-03-05 Raffaello Bianco , Ion Errea

The discovery of record - breaking values of superconducting transition temperature $T_c$ in quite a number of hydrides under high pressure was an impressive demonstration of capabilities of electron - phonon mechanism of Cooper pairing.…

超导电性 · 物理学 2024-01-22 M. V. Sadovskii

Superconducting systems based on attractive electron-phonon interactions are the ones which are best understood at a fundamental level. They are well described using Eliashberg theory, which, unlike BCS theory, explicitly takes into account…

超导电性 · 物理学 2025-05-28 Ingvar Zappacosta , Matthew Houtput , Jacques Tempere

The Migdal-Eliashberg (ME) formalism provides a reliable framework for describing phonon-mediated superconductivity in the adiabatic regime, where the electronic Fermi energy exceeds the characteristic phonon energy. In this work, we go…

超导电性 · 物理学 2025-12-05 Shashi B. Mishra , Hitoshi Mori , Elena R. Margine

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…

超导电性 · 物理学 2025-04-29 Juraj Krsnik , Dino Novko , Osor Slaven Barišić

It is shown that the famous Allen -- Dynes asymtotic limit for superconducting transition temperature in very strong coupling region $T_{c}>\frac{1}{2\pi}\sqrt{\lambda}\Omega_0$ (where $\lambda\gg 1$ - is Eliashberg - McMillan electron -…

超导电性 · 物理学 2021-07-02 M. V. Sadovskii

The analysis is conducted to unveil how the non-adiabatic effects scale within the superconducting phase of lithium-decorated graphene (LiC$_{6}$). Based on the Eliashberg formalism it is shown that the non-adiabatic effects notably reduce…

超导电性 · 物理学 2023-02-01 Dominik Szczȩśniak
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