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Related papers: Upper bound on $T_c$ in a strongly coupled electro…

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We apply the Migdal-Eliashberg theory of superconductivity to heavy-fermion and mixed valence materials. Specifically, we extend the Anderson lattice model to a case when there exists a strong coupling between itinerant electrons and…

Superconductivity · Physics 2024-08-28 Samuel Awelewa , Maxim Dzero

The emergence of near-ambient temperature superconductivity under pressure in the metal hydride systems has motivated a desire to further understand such remarkable properties, specifically critical magnetic fields. YH$_6$ is suggested to…

Superconductivity · Physics 2023-08-02 S. Villa-Cortés , O. De la Peña-Seaman , Keith V. Lawler , Ashkan Salamat

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

Understanding the material parameters that control the superconducting transition temperature $T_c$ is a problem of fundamental importance. In many novel superconductors, phase fluctuations determine $T_c$, rather than the collapse of the…

Superconductivity · Physics 2019-09-23 Tamaghna Hazra , Nishchhal Verma , Mohit Randeria

Recent angle-resolved photoemission (ARPES) experiments have indicated that the electronic dispersion in some of the cuprates possesses an extended saddle point near the Fermi level which gives rise to a density of states that diverges like…

Condensed Matter · Physics 2009-10-22 R. J. Radtke , M. R. Norman

In this article we quantify the possible effects of the breakdown of Migdal's theorem on the electron-phonon (e-p) coupling constant, on the critical temperature and on the superconducting gap by examining different kinds of superconducting…

Superconductivity · Physics 2009-10-30 G. A. Ummarino , R. S. Gonnelli

Near a two-dimensional Ising-type nematic quantum critical point, the quantum fluctuations of the nematic order parameter are coupled to the electrons, leading to non-Fermi liquid behavior and unconventional superconductivity. The interplay…

Superconductivity · Physics 2025-12-24 Jie Huang , Zhao-Kun Yang , Jing-Rong Wang , Guo-Zhu Liu

It is notoriously difficult to make quantitative theoretical predictions of the superconducting $T_c$, either from first-principles or even from a knowledge of normal state properties. Ultimately, this reflects the fact that the energy…

Superconductivity · Physics 2019-01-15 I. Esterlis , S. A. Kivelson , D. J. Scalapino

We discuss standard and tighter upper bounds on the critical temperature $T_c$ of two-dimensional superconductors and superfluids versus particle density n or filling factor $\nu$, under the assumption that the transition from the normal to…

Superconductivity · Physics 2022-03-11 Ting ting Shi , Wei Zhang , C. A. R. Sa de Melo

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

We discuss the compatibility of the most accurate experimental data with the ordinary Migdal-Eliashberg theory of superconductivity in the fullerene compound Rb_3C_60. By using different model phonon spectra we conclude that the…

Superconductivity · Physics 2009-10-31 C. Grimaldi , E. Cappelluti , L. Pietronero , S. Straessler

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 temperature dependences of the plasma frequency, superfluid density and London penetration depth were determined from terahertz spectra of conductivity and dielectric permittivity of BaFe$_{1.91}$Ni$_{0.09}$As$_{2}$ film with critical…

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

The Eliashberg theory of superconductivity accounts for the fundamental physics of conventional electron-phonon superconductors, including the retardation of the interaction and the effect of the Coulomb pseudopotential, to predict the…

Current theories of high-temperature superconductivity in flat-band systems predict a linear dependence of the transition temperature on the attractive interaction, $T_c(U) = c|U|$. However, neither the value of $c$ nor the full nonlinear…

Superconductivity · Physics 2026-04-08 I. S. Tupitsyn , B. Currie , B. V. Svistunov , E. Kozik , N. V. Prokof'ev

Over the past six years (2015-2021), many superconducting hydrides with critical temperatures $T_{C}$ up to 250 K, which are currently record highs, have been discovered. Now we can already say that a special field of superconductivity has…

In this paper, through an exhaustive analysis within the Migdal-Eliashberg theory, we show the incompatibility of experimental data of Rb$_3$C$_{60}$ with the basic assumptions of the standard theory of superconductivity. For different…

Superconductivity · Physics 2009-11-07 E. Cappelluti , C. Grimaldi , L. Pietronero , S. Strässler , G. A. Ummarino

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

A concrete question is discussed: Can there be conventional s-wave superconductivity in regular 3D (or 2D) metals, i.e., electrons in a jellium background, interacting via the standard Coulomb coupling? We are interested in 'practical' SC…

Superconductivity · Physics 2025-12-01 Sankar Das Sarma , Jay D. Sau , Yi-Ting Tu , Shuyang Wang