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Eliashberg theory is a theory of superconductivity that describes the role of phonons in providing the attractive interaction between two electrons. Phonon dynamics are taken into account, thus giving rise to retardation effects that impact…

超导电性 · 物理学 2020-07-06 F. Marsiglio

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…

超导电性 · 物理学 2025-05-28 Ingvar Zappacosta , Matthew Houtput , Jacques Tempere

Spin fluctuations have been proposed as a key mechanism for mediating superconductivity, particularly in high-temperature superconducting cuprates, where conventional electron-phonon interactions alone cannot account for the observed…

超导电性 · 物理学 2025-04-17 Griffin Heier , Sergey Y. Savrasov

We present a novel method for embedding spin and charge fluctuations in an anisotropic, multi-band and full-bandwidth Eliashberg treatment of superconductivity. Our analytical framework, based on the random phase approximation, allows for a…

超导电性 · 物理学 2020-07-15 Fabian Schrodi , Alex Aperis , Peter M. Oppeneer

The paradigmatic Migdal-Eliashberg theory of the electron-phonon problem is central to the understanding of superconductivity in conventional metals. This powerful framework is justified by the smallness of the Debye frequency relative to…

超导电性 · 物理学 2020-06-19 Debanjan Chowdhury , Erez Berg

A superconductor emerges as a condensate of electron pairs, which bind despite their strong Coulomb repulsion. Eliashberg's theory elucidates the mechanisms enabling them to overcome this repulsion and predicts the transition temperature…

超导电性 · 物理学 2024-01-02 Amir Dalal , Jonathan Ruhman , Vladyslav Kozii

Electron-phonon interaction plays an important role in metals and can lead to superconductivity and other instabilities. Previous theoretical studies on superconductivity are largely based on the Migdal-Eliashberg theory, which neglects all…

超导电性 · 物理学 2021-03-05 Guo-Zhu Liu , Zhao-Kun Yang , Xiao-Yin Pan , Jing-Rong Wang

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…

数学物理 · 物理学 2025-07-15 Michael K. -H. Kiessling , Boris L. Altshuler , Emil A. Yuzbashyan

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…

超导电性 · 物理学 2021-02-26 Fabian Schrodi , Alex Aperis , Peter M. Oppeneer

We present a theory that is a non-Fermi-liquid counterpart of the Abrikosov-Gor'kov pair-breaking theory due to paramagnetic impurities in superconductors. To this end we analyze a model of interacting electrons and phonons that is a…

强关联电子 · 物理学 2020-02-26 Daniel Hauck , Markus J. Klug , Ilya Esterlis , Jörg Schmalian

The origin of high-temperature superconductivity in cuprates is still an unresolved issue. Among the most likely candidates for mediating the Cooper pair condensate are spin fluctuations and the electron-phonon interaction. While the former…

超导电性 · 物理学 2021-10-22 Fabian Schrodi , Alex Aperis , Peter M. Oppeneer

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…

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 -…

超导电性 · 物理学 2019-04-08 M. V. Sadovskii

Electron-electron and electron-phonon interactions are responsible for the formation of spin, charge, and superconducting correlations in layered quantum materials. A paradigmatic model for such materials that captures both kinds of…

强关联电子 · 物理学 2026-03-16 Aiman Al-Eryani , Sabine Andergassen , Michael M. Scherer

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…

超导电性 · 物理学 2025-04-29 Juraj Krsnik , Dino Novko , Osor Slaven Barišić

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…

超导电性 · 物理学 2018-10-22 Kamila A. Szewczyk , Radosław Szczȩśniak , Dominik Szczȩśniak

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…

超导电性 · 物理学 2021-07-13 Andrey V. Chubukov , Artem Abanov , Ilya Esterlis , Steven A. Kivelson

We study the superconducting instability mediated by spin fluctuations in the Eliashberg theory for a minimal two-band model of iron-based superconductors. While antiferromagnetic spin fluctuations can drive superconductivity (SC) as is…

超导电性 · 物理学 2020-09-02 Hiroyuki Yamase , Tomoaki Agatsuma

We present a study of the superconducting transition in MgB2 using the ab-initio pseudopotential density functional method and the fully anisotropic Eliashberg equation. Our study shows that the anisotropic Eliashberg equation, constructed…

超导电性 · 物理学 2009-02-05 Hyoung Joon Choi , David Roundy , Hong Sun , Marvin L. Cohen , Steven G. Louie

We describe how the fermionic functional renormalization group (fRG) flow of a Cooper+forward scattering problem can be continued into the superconducting state. This allows us to reproduce from the fRG flow the fundamental equations of the…

超导电性 · 物理学 2009-11-11 Carsten Honerkamp , Manfred Salmhofer
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