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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 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

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 the newly developed real space vortex-lattice based theory of superconductivity, we study the maximum superconducting transition temperature (T_{c}^{\max}) in the iron-based superconductors. We find that all the reported FeAs…

Strongly Correlated Electrons · Physics 2015-05-13 Xiuqing Huang

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

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

In a superconductor electrons form pairs and electric transport becomes dissipation-less at low temperatures. Recently discovered iron based superconductors have the highest superconducting transition temperature next to copper oxides. In…

Materials Science · Physics 2014-12-02 Xianhui Chen , Pengcheng Dai , Donglai Feng , Tao Xiang , Fu-Chun Zhang

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

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.…

Superconductivity · Physics 2024-01-22 M. V. Sadovskii

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,…

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

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 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

It is demonstrated that the transition temperature (Tc) of high-Tc superconductors is determined by their layered crystal structure, bond lengths, valency properties of the ions, and Coulomb coupling between electronic bands in adjacent,…

Superconductivity · Physics 2012-02-03 Dale R. Harshman , Anthony T. Fiory , John D. Dow

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

It is proposed that in high temperature superconductors Cooper pairs form and condense due to the monotonic-oscillatory transition in the pair potential of mean force, which occurs quite generally at high coupling in charge systems. It is…

Superconductivity · Physics 2022-06-22 Phil Attard

Predicting the transition temperature, Tc, of a superconductor from Periodic Table normal state properties is regarded as one of the grand challenges of superconductivity. By studying the correlations of Periodic Table properties with known…

General Physics · Physics 2012-04-03 O. Paul Isikaku-Ironkwe

A wide variety of superconducting oxides are used to test a general model of high pressure induced transition temperature (T c) changes. The T c 's vary from a low of 24 K to a high of 164 K. Although the model is capable of predicting both…

Superconductivity · Physics 2015-06-24 Mario Rabinowitz , T. McMullen

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 -…

Superconductivity · Physics 2021-07-02 M. V. Sadovskii

A stability criterion is worked out for the superconducting phase. The validity of a prerequisite, established previously for persistent currents, is thereby confirmed. Temperature dependence is given for the specific heat and concentration…

Superconductivity · Physics 2021-01-27 Jacob Szeftel , Nicolas Sandeau , Michel Abou Ghantous , Muhammad El-Saba
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