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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…

Superconductivity · Physics 2010-03-31 W. Fan

The mechanisms for strong electron-phonon coupling predicted for hydrogen-rich alloys with high superconducting critical temperature ($T_c$) are examined within the Migdal-Eliashberg theory. Analysis of the functional derivative of $T_c$…

Superconductivity · Physics 2017-09-28 K. Tanaka , J. S. Tse , H. Liu

High pressure serves as a path finding tool towards novel structures, including those with very high Tc.The superconductivity in sulfur hydrides with record value (203 K) is caused by the phonon mechanism. However, the picture differs from…

Superconductivity · Physics 2018-02-14 Lev Gor'kov , Vladimir Kresin

The Tc map in parameter space of electron-phonon interaction $\lambda$ and phonon frequency $\Omega$ is used to classify already known superconductors. The Tc map is partitioned into six regions based on superconductors parameters $\lambda$…

Superconductivity · Physics 2009-05-01 Wei Fan

More than a century after discovery, the theory of conventional superconductivity remains incomplete. While the importance of electron-phonon coupling is understood, a controlled first-principles treatment of Coulomb interaction is lacking.…

We show an efficient way to compute the electron-phonon coupling constant, $\lambda$, and the superconducting transition temperature, Tc from first-principles calculations. This approach gives rapid convergence of Tc with respect to the…

Superconductivity · Physics 2017-10-11 Takashi Koretsune , Ryotaro Arita

Using the full potential linear muffin-tin orbitals (FP-LMTO) method we examine the pressure-dependence of superconductivity in the two metallic phases of Boron: bct and fcc. Linear response calculations are carried out to examine the…

Superconductivity · Physics 2015-06-25 S. K. Bose , T. Kato , O. Jepsen

Fundamental upper bounds on the electron-phonon interaction strength and superconducting transition temperature $T_c$ in metals are established based on the intrinsic instability of the equilibrium between electrons and the crystal lattice…

Superconductivity · Physics 2025-08-05 Dmitrii V. Semenok , Boris L. Altshuler , Emil A. Yuzbashyan

The electronic structure, phonons, electron-phonon coupling, and superconductivity are theoretically studied in noncentrosymmetric superconductor ThCoC$_2$ as a function of pressure, in the pressure range 0 - 20 GPa. We found that the…

Superconductivity · Physics 2022-07-01 Gabriel Kuderowicz , Paweł Wójcik , Bartlomiej Wiendlocha

Simple cubic phosphorus exhibits superconductivity with a maximum $T_c$ of up to 12 K under pressure. The pressure dependence of $T_c$ cannot be consistently explained with a simple electron-phonon mechanism, which has stimulated…

Superconductivity · Physics 2022-05-23 Viktor Christiansson , Francesco Petocchi , Philipp Werner

Motivated by unexpected reports of a 26 K superconducting transition in elemental titanium at high pressure, we carry out an accurate ab-initio study of its properties to understand the rationale for this observation. The critical…

Superconductivity · Physics 2023-08-29 Antonio Sanna , Camilla Pellegrini , Simone di Cataldo , Giannni Profeta , Lilia Boeri

Searching for ambient-pressure conventional superconductors with critical temperatures (TC) higher than 40 K is a key challenge in the field of high-temperature superconductivity, mainly due to lack of efficient and effective models to…

Superconductivity · Physics 2025-11-26 Yuting Sun , Shixu Liu , Xin-Gao Gong , Ji-Hui Yang

We perform first-principles electron-phonon calculations to evaluate the superconducting transition temperature $T_c$ for ternary superhard metals B$_2$C$_3$N and B$_4$C$_5$N$_3$. These materials are predicted to exhibit a wide distribution…

Superconductivity · Physics 2024-10-04 Adam D. Smith , Yogesh K. Vohra , Cheng-Chien Chen

Electron-phonon superconductors at high pressures have displayed the highest values of critical superconducting temperature $T_c$ on record, now rapidly approaching room temperature. Despite the importance of high-$P$ superconductivity in…

Superconductivity · Physics 2021-04-07 Chandan Setty , Matteo Baggioli , Alessio Zaccone

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

Superconductivity · Physics 2010-09-15 Wei Fan

The effective attractive interaction between electrons, mediated by electron-phonon coupling, is a well-established mechanism of conventional superconductivity. In metals exhibiting a Fermi surface, the critical temperature of…

Superconductivity · Physics 2018-12-03 R. Ojajärvi , T. Hyart , M. Silaev , T. T. Heikkilä

The discovery of superconductivity at 203K in SH$_3$ is an important step toward higher values of $T_c$. Predictions based on state-of-the-art DFT for the electronic structure, including one preceding experimental confirmation, showed the…

Superconductivity · Physics 2019-10-09 J. P. Carbotte , E. J. Nicol , T. Timusk

Density functional theory (DFT) based ab-initio calculations of electronic, phononic, and superconducting properties of 1T MoS2 are reported. The phonon dispersions are computed within density-functional-perturbation-theory (DFPT). We have…

Superconductivity · Physics 2021-07-08 Jagdish Kumar , Harkirat Singh

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

The rapid variation of the superconductivity Tc in hydride sulfur (H3S) under high pressure [A. Drozdov et al, Nature 525, 73 (2015); M. Einaga et al, arXiv: 1509.03156] in a vicinity Pcr=123GPa is interpreted in terms of the 1st order…

Superconductivity · Physics 2016-01-01 Lev P. Gor'kov , V. Z. Kresin
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