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The critical temperature of high-$T_c$ superconductors is determined, at least in part, by the electron-phonon coupling. We include the effect of an exchange interaction between the electrons and calculate the renormalization of the bare…

Condensed Matter · Physics 2009-10-22 D. Manske , C. T. Rieck , D. Fay

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

In this paper, we calculate the superconducting critical temperature as a function of pressure, Tc(P ), using a method based on the functional derivative of the critical temperature with the Eliashberg function, dTc/dA2F. The coulomb…

Superconductivity · Physics 2017-08-11 G. I. González-Pedreros , R. Baquero

An application of the general equation obtained in Part I to low critical temperature superconductors utilizing an "ad hoc" phononic theory is developed. Then, we arrive to a specific expression for the bounding energy as a function of…

Superconductivity · Physics 2007-05-23 R. Riera , J. L. Marin , R. Betancourt-Riera , R. Rosas

The rate of energy transfer between electrons and phonons is investigated by a first principles framework for electron temperatures up to $T_e=50000$ K while considering the lattice at ground state. Two typical but differently complex…

Other Condensed Matter · Physics 2022-03-08 Jia Zhang , Rui Qin , Wenjun Zhu , Jan Vorberger

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

The model for the cuprates based on the modified electron-phonon pairing mechanism has been tested. For this purpose, the superconductors with high value of the critical temperature have been taken into consideration. In particular: ${\rm…

Superconductivity · Physics 2014-12-15 R. Szczęśniak , A. P. Durajski

We investigate three dimensional anharmonic phonons in tetrahedral symmetry and superconductivity mediated by these phonons. Three dimensional anharmonic phonon spectra are calculated directly by solving Schr\"odinger equation and the…

Superconductivity · Physics 2015-05-18 Kazumasa Hattori , Hirokazu Tsunetsugu

We analyze fulleride superconductivity at experimental doping levels, treating the electron-electron and electron-phonon interactions on an equal footing, and establish the existence of novel physics which helps explain the unusually high…

Strongly Correlated Electrons · Physics 2007-05-23 J. E. Han , O. Gunnarsson , V. H. Crespi

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,…

A review is given for the theoretical framework to give a reliable prediction of the superconducting transition temperature Tc from first principles, together with a practical strategy for its application to actual materials with…

Superconductivity · Physics 2016-01-15 Yasutami Takada

The density functional theory for superconductors developed in the preceding article [cond-mat/0408685] is applied to the calculation of superconducting properties of several elemental metals. In particular, we present results for the…

By taking advantage of a stability criterion established recently, the critical temperature $T_c$ is reckoned with help of the microscopic parameters, characterising the normal and superconducting electrons, namely the independent-electron…

General Physics · Physics 2021-08-11 Jacob Szeftel , Nicolas Sandeau , Michel Abou Ghantous , Muhammad El-Saba

We used our developed AI search engine~(InvDesFlow) to perform extensive investigations regarding ambient stable superconducting hydrides. A cubic structure Li$_2$AuH$_6$ with Au-H octahedral motifs is identified to be a candidate. After…

Superconductivity · Physics 2025-05-15 Zhenfeng Ouyang , Bo-Wen Yao , Xiao-Qi Han , Peng-Jie Guo , Ze-Feng Gao , Zhong-Yi Lu

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

Recent optical studies in c-axis oriented superconducting MgB$_2$ films indicate that the electron-phonon coupling is weak [tu01]. We reinforce this conclusion by examining the raw reflectance data; its frequency dependence is incompatible…

Superconductivity · Physics 2009-11-07 F. Marsiglio

In a recent contribution to this journal, it was shown that the transition temperatures of optimal high-Tc compounds obey the algebraic relation, Tc0 = kB-1{\beta}/\ell{\zeta}, where \ell is related to the mean spacing between interacting…

Superconductivity · Physics 2014-08-01 Dale R. Harshman , Anthony T. Fiory

The origin of superconductivity in twisted bilayer graphene -- whether phonon-driven or electron-driven -- remains unresolved, in part due to the absence of a quantitative and efficient model for electron-phonon coupling (EPC). In this…

Mesoscale and Nanoscale Physics · Physics 2026-02-12 Ziyan Zhu , Thomas P. Devereaux

Separating electron and phonon thermal conductivity components is imperative for understanding the principle thermal transport mechanisms in metals and highly desirable in many applications. In this work, we predict the mode-dependent…

Materials Science · Physics 2019-10-23 Zhen Tong , Shouhang Li , Xiulin Ruan , Hua Bao

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