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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

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…

超导电性 · 物理学 2010-03-31 W. Fan

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

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

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

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

The ultrafast optical manipulation of ordered phases in strongly correlated materials is a topic of significant theoretical, experimental, and technological interest. Inspired by a recent experiment on light-induced superconductivity in…

超导电性 · 物理学 2017-07-26 Mehrtash Babadi , Michael Knap , Ivar Martin , Gil Refael , Eugene Demler

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 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…

超导电性 · 物理学 2018-08-07 F. Marsiglio

Phonon softening is a ubiquitous phenomenon in condensed matter systems which is often associated with charge density wave (CDW) instabilities and anharmonicity. The interplay between phonon softening, CDW and superconductivity is a topic…

超导电性 · 物理学 2023-02-27 Cunyuan Jiang , Enrico Beneduce , Matteo Baggioli , Chandan Setty , Alessio Zaccone

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…

超导电性 · 物理学 2021-07-08 Jagdish Kumar , Harkirat Singh

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 $T_c$…

超导电性 · 物理学 2017-09-28 K. Tanaka , J. S. Tse , H. Liu

Emergence of superconductivity in a two-band system coupled with breathing and Jahn-Teller phonons is discussed in a weak-coupling limit. With the use of a standard quantum mechanical procedure, the phonon-mediated attraction is derived.…

超导电性 · 物理学 2010-03-30 Takashi Hotta

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

The role of anharmonicity on superconductivity has often been disregarded in the past. Recently, it has been recognized that anharmonic decoherence could play a fundamental role in determining the superconducting properties (electron-phonon…

超导电性 · 物理学 2024-01-26 Chandan Setty , Matteo Baggioli , Alessio Zaccone

Topological phononic insulators are the counterpart of three-dimensional quantum spin Hall insulators in phononic systems and, as such, their topological surfaces are characterized by Dirac cone-shaped gapless edge states arising as a…

超导电性 · 物理学 2022-08-17 Daniele Di Miceli , Chandan Setty , Alessio Zaccone

Advances in light sources and time resolved spectroscopy have made it possible to excite specific atomic vibrations in solids and to observe the resulting changes in electronic properties but the mechanism by which phonon excitation causes…

超导电性 · 物理学 2017-05-05 Dante M. Kennes , Eli Y. Wilner , David R. Reichman , Andrew J. Millis

The dispersion of the in-plane Cu-O bond-stretching LO phonon mode in the high-$T_{C}$ superconducting cuprates shows strong softening with doping near the zone boundary. We suggest that it can be described with a negative electronic…

超导电性 · 物理学 2009-11-07 Masashi Tachiki , Masahiko Machida , Takeshi Egami

Optical driving of materials has emerged as a versatile tool to control their properties, with photo-induced superconductivity being among the most fascinating examples. In this work, we show that light or lattice vibrations coupled to an…

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…

超导电性 · 物理学 2015-05-18 Kazumasa Hattori , Hirokazu Tsunetsugu
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