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We develop a non-perturbative approach for calculating the superconducting transition temperatures ($T_{c}$) of liquids. The electron-electron scattering amplitude induced by electron-phonon coupling (EPC), from which the effective pairing…

Superconductivity · Physics 2020-03-25 Huiying Liu , Ying Yuan , Donghao Liu , Xin-Zheng Li , Junren Shi

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 present a brief review of some recent work on the problem of highest achievable temperature of superconducting transition $T_c$ in electron-phonon systems. The discovery of record-breaking values of $T_c$ in quite a number of hydrides…

Superconductivity · Physics 2025-11-11 M. V. Sadovskii

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

Using a computationally inexpensive frozen phonon approach we have developed a technique which can be used to screen large unit cell materials and systems for enhanced superconducting critical temperatures. The method requires only density…

Superconductivity · Physics 2024-05-07 Oliver A. Dicks , Kateryna Foyevtsova , Ilya Elfimov , Rohit Prasankumar , George Sawatzky

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

We present a study of the superconducting transition in MgB2 using the ab-initio pseudopotential density functional method and the fully anisotropic Eliashberg equation. Our study shows that the anisotropic Eliashberg equation, constructed…

Superconductivity · Physics 2009-02-05 Hyoung Joon Choi , David Roundy , Hong Sun , Marvin L. Cohen , Steven G. Louie

The superconducting transition temperatures of high-Tc compounds based on copper, iron, ruthenium and certain organic molecules are discovered to be dependent on bond lengths, ionic valences, and Coulomb coupling between electronic bands in…

Superconductivity · Physics 2012-07-03 Dale R. Harshman , Anthony T. Fiory

Using ab initio methods, we have studied the electron-phonon interaction in compressed, body-centered cubic (bcc) yttrium, which is predicted to be stable at 280 GPa [Melsen et al, Phys. Rev. B 48, 15574 (1993)]. We find that compressed,…

Superconductivity · Physics 2007-05-23 Prabhakar P. Singh

We perform a large scale study of conventional superconducting materials using a machine-learning accelerated high-throughput workflow. We start by creating a comprehensive dataset of around 7000 electron-phonon calculations performed with…

Superconductivity · Physics 2023-07-21 Tiago F. T. Cerqueira , Antonio Sanna , Miguel A. L. Marques

Weak coupling theory predicts the critical temperature of a phonon superconductor to be $T_c = 1.13 e^{-3/2} \omega_D e^{-{1/\lambda}}$, where $\omega_D$ is the Debye frequency, $\lambda$ is the dimensionless electron-phonon coupling…

Superconductivity · Physics 2020-01-15 Dan Phan , Andrey V Chubukov

Realistic prediction of the superconducting transition temperature (Tc) for PdH is a long-standing challenge, because it depends on robust calculations of the electron and phonon band structures to obtain the electron-phonon scattering…

Materials Science · Physics 2022-08-08 Samaneh Sadat Setayandeh , Tim Gould , Toktam Morshedloo , Evan Gray

Using the Eliashberg strong coupling theory with vertex correction, we calculate maps of transition temperatures (T$_{c}$) of electron-phonon superconductors in full parameter space. The maximums of transition temperatures for…

Superconductivity · Physics 2009-11-13 Wei Fan

The electron--phonon coupling in fullerene C28 has been calculated from first principles. The value of the associated coupling constant lambda/N(0) is found to be a factor three larger than that associated with C60. Assuming similar values…

Superconductivity · Physics 2009-10-31 N. Breda , R. A. Broglia , G. Colo` , G. Onida , D. Provasi , E. Vigezzi

We present simple qualitative estimates for the maximal superconducting transition temperature, which may be achieved due to electron - phonon coupling in Eliashberg-McMillan theory. It is shown that in the limit of very strong coupling the…

Superconductivity · Physics 2025-04-15 M. V. Sadovskii

This work presents an analysis of the functional derivative of the superconducting transition temperature T$_c$ with respect to the electron-phonon coupling function $\alpha^2F(\omega)$ [$\delta T_c/\delta \alpha^2$F($\omega$)] and…

Superconductivity · Physics 2020-09-14 J. A. Camargo-Martínez , G. I. González-Pedreros , F. Mesa

In cuprate superconductors, a pronounced maximum of superconducting Tc is observed in compounds that have an in-plane Cu-O distance close to ~1.92 Angstroms. On the other hand, direct measurements of the electron-phonon coupling lambda as a…

Superconductivity · Physics 2022-02-28 Dragan Mihailovic

Two simple bounds on the $T_c$ of conventional, phonon-mediated superconductors are derived within the framework of Eliashberg theory in the strong coupling regime. The first bound is set by the total electron-phonon coupling available…

Superconductivity · Physics 2025-10-07 Jonathan E. Moussa , Marvin L. Cohen

Recently superconductivity has been discovered at around 200~K in a hydrogen sulfide system and around 260~K in a lanthanum hydride system, both under pressures of about 200 GPa. These record-breaking transition temperatures bring within…

Superconductivity · Physics 2020-07-15 Sabri Elatresh , T. Timusk , E. J. Nicol

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
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