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The Eliashberg theory of superconductivity accounts for the fundamental physics of conventional electron-phonon superconductors, including the retardation of the interaction and the effect of the Coulomb pseudopotential, to predict the…

In this paper, through an exhaustive analysis within the Migdal-Eliashberg theory, we show the incompatibility of experimental data of Rb$_3$C$_{60}$ with the basic assumptions of the standard theory of superconductivity. For different…

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

The ${\rm H_{5}S_{2}}$ and ${\rm H_{2}S}$ compounds are the two candidates for the low-temperature phase of compressed sulfur-hydrogen system. We have shown that the value of Coulomb pseudopotential ($\mu^{\star}$) for ${\rm H_{5}S_{2}}$…

Superconductivity · Physics 2018-07-09 Małgorzata Kostrzewa , Radosław Szczęśniak , Joanna K. Kalaga , Izabela A. Wrona

Replacement of hydrogen by deuterium in palladium hydride results in higher superconducting temperatures and an anomalous isotope effect that has not been yet fully explained. In this work, we try a new approach to the explanation of the…

Superconductivity · Physics 2018-04-18 S. Villa-Cortés , R. Baquero

We have performed density functional calculations in conjunction with the linearized Migdal-Eliashberg equations and the functional derivative approach, which takes into account the energy-range dependence of the density of states at the…

Superconductivity · Physics 2022-01-05 S. Villa-Cortés , O. De la Peña-Seaman

At present, hydrogen-based compounds constitute one of the most promising classes of materials for applications as a phonon-mediated high-temperature superconductors. Herein, the behavior of the superconducting phase in tellurium hydride…

Superconductivity · Physics 2019-06-26 Tomasz P. Zemła , Klaudia M. Szczȩśniak , Adam Z. Kaczmarek , Svitlana V. Turchuk

The discovery of a superconducting phase in sulfur hydride under high pressure with a critical temperature above 200 K has provided a new impetus to the search for even higher $T_c$. Theory predicted and experiment confirmed that the phase…

The temperature dependence of the two superconducting gaps in pressurised H_3S at 155 GPa with a critical temperature of 203 K has been determined by data analysis of the experimental curve of the upper critical magnetic field as a function…

Superconductivity · Physics 2023-08-02 G. A. Ummarino , A. Bianconi

The high-transition-temperature (high-Tc) superconductivity discovered recently in iron pnictides is analyzed within a perturbation theory. Specifically, the probable pairing symmetry, the doping dependence of the transition temperature and…

Superconductivity · Physics 2009-11-13 Takuji Nomura

In the paper, the thermodynamic parameters of the high-pressure superconducting state in the SiH$_4$ compound have been determined ($p=250$ GPa). By using the Eliashberg equations in the mixed representation, the critical temperature, the…

Superconductivity · Physics 2015-06-15 R. Szczesniak , A. P. Durajski

Recently, C. M. P\'epin \textit{et al.} [Science \textbf{357}, 382 (2017)] reported the formation of several new iron polyhydrides FeH$_x$ at pressures in the megabar range, and spotted FeH$_5$, which forms above 130 GPa, as a potential…

Superconductivity · Physics 2018-06-15 Christoph Heil , Giovanni B. Bachelet , Lilia Boeri

In recent years, the quest for high critical-temperature superconductors has increasingly focused on metal and molecular hydrides, which have demonstrated potential for superconductivity at or near room temperature under extremely high…

Superconductivity · Physics 2025-12-10 Tomas J. Escamilla , Chumin Wang

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 -…

Superconductivity · Physics 2020-02-03 M. V. Sadovskii

We present a comprehensive first-principles investigation of a hypothetical cubic Pm-3m phase of the ternary hydride NaAlH3, focusing on its lattice dynamics, electronic structure, and electron-phonon-mediated superconducting properties at…

Superconductivity · Physics 2026-04-27 Izabela A. Wrona , Yinwei Li , Radoslaw Szczesniak , Artur P. Durajski

Eliashberg's foundational theory of superconductivity is based on the application of Migdal's approximation, which states that vertex corrections to first order electron-phonon scattering are negligible if the ratio between phonon and…

Superconductivity · Physics 2021-02-26 Fabian Schrodi , Alex Aperis , Peter M. Oppeneer

The variation of the superconducting critical temperature Tc as a function of x in the diboride Mg1-xAlxB2 has been studied in the framework of the two-bands Eliashberg theory and traditional phonon coupling mechanism. We have solved the…

Superconductivity · Physics 2009-11-10 G. A. Ummarino , R. S. Gonnelli , S. Massidda , A. Bianconi

We study the structural and vibrational properties of the high-temperature superconducting sulfur trihydride and trideuteride in the high-pressure $Im\bar{3}m$ and $R3m$ phases by first-principles density-functional-theory calculations. On…

Materials Science · Physics 2018-06-13 Raffaello Bianco , Ion Errea , Matteo Calandra , Francesco Mauri

The thermodynamic parameters of the superconducting state, that induces in ${\rm Si_{2}H_{6}}$ under the pressure at 275 GPa, have been calculated. In the framework of the Eliashberg formalism, it has been shown that the critical…

Superconductivity · Physics 2015-06-11 R. Szczȩśniak , A. P. Durajski

We show that, in contrast with the usual electron-phonon Migdal-Eliashberg theory, the critical temperature Tc of an isotropic s-wave nonadiabatic superconductor is strongly reduced by the presence of diluted non-magnetic impurities. Our…

Superconductivity · Physics 2009-10-31 M. Scattoni , C. Grimaldi , L. Pietronero

The thermodynamic parameters of the superconducting state, that gets induced in the metallic molecular hydrogen under the influence of the pressure at 414 GPa ($T_{C}=84$ K), have been determined. The calculations have been conducted in the…

Superconductivity · Physics 2015-06-11 R. Szczȩśniak , E. A. Drzazga