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Related papers: Eliashberg Theory: a short review

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Superconducting systems based on attractive electron-phonon interactions are the ones which are best understood at a fundamental level. They are well described using Eliashberg theory, which, unlike BCS theory, explicitly takes into account…

Superconductivity · Physics 2025-05-28 Ingvar Zappacosta , Matthew Houtput , Jacques Tempere

Eliashberg theory provides a theoretical framework for understanding the phenomenon of superconductivity when pairing between two electrons is mediated by phonons, and retardation effects are fully accounted for. BCS theory is often viewed…

Superconductivity · Physics 2018-08-07 F. Marsiglio

Eliashberg's foundational theory of superconductivity is based on the application of Migdal's approximation, which states that vertex corrections to first order electron-phonon scattering are negligible if the ratio between phonon and…

Superconductivity · Physics 2021-02-26 Fabian Schrodi , Alex Aperis , Peter M. Oppeneer

A theory of phonon-mediated superconductivity in strong-coupling amorphous materials is developed based on an effective description of structural disorder and its effect on the vibrational spectrum. The theory accounts for the…

Superconductivity · Physics 2020-06-05 Matteo Baggioli , Chandan Setty , Alessio Zaccone

In the present paper, we analyze the properties of the unbalanced superconducting state on a square lattice with the constant value of the electron-phonon coupling function. We conduct our analysis in the framework of the Eliashberg…

Superconductivity · Physics 2018-10-22 Kamila A. Szewczyk , Radosław Szczȩśniak , Dominik Szczȩśniak

The standard Eliashberg theory of superconductivity is studied, in which the effective electron-electron interactions are mediated by generally dispersive phonons, with Eliashberg spectral function $\alpha^2 F(\omega)\geq 0$ that is…

Mathematical Physics · Physics 2025-07-15 Michael K. -H. Kiessling , Boris L. Altshuler , Emil A. Yuzbashyan

We investigate the dynamical effects of electron-phonon coupling (EPC) on the superconducting properties of two-dimensional (2D) systems, calculating the Eliashberg function in terms of dynamically renormalized phonons. By studying…

Superconductivity · Physics 2025-04-29 Juraj Krsnik , Dino Novko , Osor Slaven Barišić

We analyze the validity of Eliashberg theory of phonon-mediated superconductivity in 2D systems in light of recent extensive Monte-Carlo studies of the Holstein model. Conventional wisdom says that Eliashberg theory is applicable as long as…

Superconductivity · Physics 2021-07-13 Andrey V. Chubukov , Artem Abanov , Ilya Esterlis , Steven A. Kivelson

The effective attractive interaction between electrons, mediated by electron-phonon coupling, is a well-established mechanism of conventional superconductivity. In metals exhibiting a Fermi surface, the critical temperature of…

Superconductivity · Physics 2018-12-03 R. Ojajärvi , T. Hyart , M. Silaev , T. T. Heikkilä

We study a multiorbital Hubbard model coupled to local Jahn-Teller phonons to investigate the superconducting state realized in fullerides. A weak-coupling approach is employed in combination with a local self-energy approximation. In…

Superconductivity · Physics 2022-06-24 Yoshikuni Kaga , Philipp Werner , Shintaro Hoshino

The Eliashberg theory of superconductivity is based on a dynamical electron-phonon interaction as opposed to a static interaction present in BCS theory. The standard derivation of Eliashberg theory is based on an equation of motion…

Superconductivity · Physics 2021-07-28 Mason Protter , Rufus Boyack , Frank Marsiglio

We calculate the effect of a static electric field on the critical temperature of a s-wave one band superconductor in the framework of proximity effect Eliashberg theory. In the weak electrostatic field limit the theory has no free…

Superconductivity · Physics 2017-08-16 G. A. Ummarino , E. Piatti , D. Daghero , R. S. Gonnelli , Irina Yu. Sklyadneva , E. V. Chulkov , R. Heid

Electrical conductivity is an important transport response in superconductors, enabling clear signatures of dynamical interactions to be observed. Of primary interest in this paper is to study characteristics of the electron-phonon…

Superconductivity · Physics 2023-04-05 Rufus Boyack , Sepideh Mirabi , F. Marsiglio

The properties of the superconducting and the anomalous normal state have been described by using the Eliashberg method. The pairing mechanism has been reproduced with help of the Hamiltonian, which models the electron-phonon and…

Superconductivity · Physics 2017-04-11 R. Szczesniak , A. P. Durajski , A. M. Duda

Eliashberg theory provides a theoretical framework for understanding the phenomenon of superconductivity when pairing between two electrons is mediated by phonons, and retardation effects are fully accounted for. However, when a direct…

Superconductivity · Physics 2022-05-24 F. Marsiglio

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…

We present a comparative analysis of the validity of Eliashberg theory for the cases of fermions interacting with an Einstein phonon and with soft nematic fluctuations near an Ising-nematic/Ising-ferromagnetic quantum-critical point (QCP).…

Strongly Correlated Electrons · Physics 2024-04-19 Shang-Shun Zhang , Zachary M. Raines , Andrey V. Chubukov

A general theory of superconductivity based on the pairing of electrons that belong to different electronic bands is presented. These electronic bands arise because of a symmetry breaking at the critical temperature in such a way that one…

Condensed Matter · Physics 2007-05-23 R. Riera , J. L. Marin , R. Betancourt-Riera

Eliashberg - McMillan theory of superconductivity is essentially based on the adiabatic approximation. Small parameter of perturbation theory is given by $\lambda\frac{\Omega_0}{E_F}\ll 1$, where $\lambda$ is the dimensionless electron -…

Superconductivity · Physics 2019-04-08 M. V. Sadovskii

For the BCS theory of superconductivity, the electron-phonon interaction is transformed to an attractive electron-electron interaction in the vicinity of the Fermi energy only. At the same time, its formal derivation using a unitary…

Superconductivity · Physics 2026-03-25 Joshua Althüser , Ilya M. Eremin , Götz S. Uhrig
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