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The theoretical maximum critical temperature ($T_c$) for conventional superconductors at ambient pressure remains a fundamental question in condensed matter physics. Through analysis of electron-phonon calculations for over 20,000 metals,…

The discovery of high critical temperature T_{c} superconductivity in highly compressed H_{3}S has opened up the question of searching for strong electron-phonon coupling in the hydrides outside the transition metal series. The specific…

Superconductivity · Physics 2019-08-08 P. -H. Chang , S. Silayi , D. A. Papaconstantopoulos , M. J. Mehl

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

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

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

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

We report a record high superconducting transition temperature ($T_{\rm c}$) up to 23.6 K under high pressure in the elemental metal Ti, one of the top ten most abundant elements in Earth's crust. The $T_{\rm c}$ increases monotonically…

Superconductivity · Physics 2022-07-13 Xuqiang Liu , Peng Jiang , Yiming Wang , Mingtao Li , Nana Li , Qian Zhang , Yandong Wang , Yan-ling Li , Wenge Yang

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

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

Predicting the critical temperature $T_c$ of new superconductors is a notoriously difficult task, even for electron-phonon paired superconductors for which the theory is relatively well understood. Early attempts by McMillan and Allen and…

Superconductivity · Physics 2019-11-27 S. R. Xie , G. R. Stewart , J. J. Hamlin , P. J. Hirschfeld , R. G. Hennig

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

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

We calculate superconducting transition temperatures ($T_{\rm c}$) in sulfur hydrides H$_{2}$S and H$_{3}$S from first principles using the density functional theory for superconductors. At pressures of $\lesssim$150 GPa, the high values of…

Superconductivity · Physics 2015-07-08 Ryosuke Akashi , Mitsuaki Kawamura , Shinji Tsuneyuki , Yusuke Nomura , Ryotaro Arita

Inspired by the first boron-carbon (B-C) clathrate SrB$_3$C$_3$ and the ternary borohydride KB$_2$H$_8$ [Miao et al., Phys. Rev. B 104 L100504 (2021)], we have performed first-principles density functional theory calculations of the…

Superconductivity · Physics 2024-05-24 Bin Li , Yulan Cheng , Cong Zhu , Jie Cheng , Shengli Liu

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

Ab initio linear-response calculations are reported of the phonon spectra and the electron-phonon interaction for several transition metal carbides and nitrides in a NaCl-type structure. For NbC, the kinetic, optical, and superconducting…

Superconductivity · Physics 2009-11-11 E. G. Maksimov , S. V. Ebert , M. V. Magnitskaya , A. E. Karakozov , S. Yu. Savrasov

Elemental materials provide clean and fundamental platforms for studying superconductivity. However, the highest superconducting critical temperature (Tc) yet observed in elements has not exceeded 30 K. Discovering elemental superconductors…

Superconductivity · Physics 2023-06-27 Jianjun Ying , Shiqiu Liu , Qing Lu , Xikai Wen , Zhigang Gui , Yuqing Zhang , Xiaomeng Wang , Jian Sun , Xianhui Chen

A maximum superconductive transition temperature $T_\textrm{C}$ = 203.5 K has recently been reported for a sample of the binary compound tri-hydrogen sulfide (H$_\textrm{3}$S) prepared at high pressure and with room temperature annealing.…

Superconductivity · Physics 2017-03-14 Dale R. Harshman , Anthony T. Fiory

The discovery of a record high superconducting transition temperature (Tc) of 288 K in a pressurized hydride inspires new hope to realize ambient condition superconductivity. Here, we give a perspective on the theoretical and experimental…

Superconductivity · Physics 2021-12-21 Dong Wang , Yang Ding , Ho-Kwang Mao

Searching for superconducting hydrides has so far largely focused on finding materials exhibiting the highest possible critical temperatures ($T_c$). This has led to a bias towards materials stabilised at very high pressures, which…

Superconductivity · Physics 2020-04-29 Michael J. Hutcheon , Alice M. Shipley , Richard J. Needs
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