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The strong-coupling Eliashberg theory plus vertex correction is used to calculate the maps of transition temperature (Tc) in parameter-space characterizing superconductivity. Based on these Tc maps, complex crossover behaviors are found…

Superconductivity · Physics 2010-09-15 Wei Fan

In a recent work by Schrodi $\textit{et al}$. [Phys. Rev. B. $\textbf{104}$, L140506 (2021)], the authors find an unconventional superconducting state with a sign-changing order parameter using the Migdal-Eliashberg theory, including the…

Superconductivity · Physics 2023-03-07 Philip M. Dee , Benjamin Cohen-Stead , Steven Johnston , P. J. Hirschfeld

Rare-earth superhydrides have attracted considerable attention because of their high critical superconducting temperature under extreme pressures. They are known to have localized valence electrons, implying strong electronic correlations.…

Superconductivity · Physics 2026-01-21 Siyu Chen , Yao Wei , Bartomeu Monserrat , Jan M. Tomczak , Samuel Poncé

We investigate the structural, electronic, and superconducting properties of a hexagonal BP3 monolayer using first-principles calculations combined with anisotropic Migdal-Eliashberg theory. The optimized structure exhibits a stable,…

Superconductivity · Physics 2026-04-14 Jakkapat Seeyangnok , Udomsilp Pinsook

In this work we analyze impact of non-adiabatic effects on the superconducting energy gap in the hole-doped graphene. By using the Eliashberg formalism beyond the Migdal's theorem, we present that the non-adiabatic effects strongly…

Superconductivity · Physics 2023-04-12 Adam Z. Kaczmarek , Ewa A. Drzazga-Szczęśniak

Assessing the effective relevance of multiband effects in the fullerides is of fundamental importance to understand the complex superconducting and transport properties of these compounds. In this paper we investigate in particular the role…

Superconductivity · Physics 2009-11-10 E. Cappelluti , P. Paci , C. Grimaldi , L. Pietronero

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 reassess the validity of Migdal-Eliashberg (ME) theory for coupled electron-phonon systems for large couplings $\lambda$. Although model calculations have found that ME theory breaks down for $\lambda\sim 0.5$, it is routinely applied…

Superconductivity · Physics 2011-12-01 Johannes Bauer , Jong E. Han , Olle Gunnarsson

We study the consequences of an electron-phonon ($e$-$ph$) interaction that is strongly peaked in the forward scattering ($\mathbf{q} = 0$) direction in a two-dimensional superconductor using Migdal-Eliashberg theory. We find that strong…

Superconductivity · Physics 2016-02-11 Louk Rademaker , Yan Wang , Tom Berlijn , Steve Johnston

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…

Superconductivity · Physics 2020-06-19 Debanjan Chowdhury , Erez Berg

We investigate the ${\rm H_3S}$ phase of sulphur hydride under high pressure $\simeq$ 200 GPa by means of {\it ab-initio} calculations within the framework of the density-functional theory (DFT) with the PBE0 hybrid exchange-correlation…

Superconductivity · Physics 2015-11-30 Matej Komelj , Henry Krakauer

Hydrogenation is known to tune superconductivity in a wide range of materials. While its microscopic role has been clarified in phonon-mediated superconductors such as hydrogenated MgB2, LaH10, and H3S, much less is known for hydrogenated…

Superconductivity · Physics 2026-04-29 Lan-Lin Du , Yang Yang , Shiqi Hu , Sheng Meng

Theory of superconductivity in two-band non-adiabatic systems with strong electron correlations in the linear approximation over non-adiabaticity is built in the article. Having assumed weak electron-phonon interaction analytical…

Superconductivity · Physics 2007-05-23 M. E. Palistrant , V. A. Ursu

We present a comprehensive theoretical investigation of the superconducting (SC) properties of hexagonal HfRuAs ($h$-HfRuAs) by solving anisotropic Migdal--Eliashberg (ME) equations with the inputs from \textit{ab initio} calculations of…

Superconductivity · Physics 2026-05-19 P. V. Sreenivasa Reddy , Guang-Yu Guo

Investigations of non-adiabatic effects by including vertex corrections in the standard Eliashberg theory show that high phonon frequency is unfavorable to superconductivity in regime of strong vertex correction. This means that it is hard…

Superconductivity · Physics 2010-08-18 Fan Wei , J . L. Wang , L. J. Zou , Z. Zeng

We examine the impact of interfacial phonons on the superconducting state of FeSe/SrTiO$_3$ developing a material's specific multiband, full bandwidth, and anisotropic Eliashberg theory for this system. Our self-consistent calculations…

Superconductivity · Physics 2018-02-07 Alex Aperis , Peter M. Oppeneer

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

The classical Bardeen-Cooper-Schrieffer and Eliashberg theories of the electron-phonon-mediated superconductivity are based on the Migdal theorem, which is an assumption that the energy of charge carriers, $k{_B}T{_F}$, significantly…

Superconductivity · Physics 2022-12-26 E. F. Talantsev

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

Mono- and multilayer FeSe thin films grown on SrTiO$_\mathrm{3}$ and BiTiO$_\mathrm{3}$ substrates exhibit a greatly enhanced superconductivity over that found in bulk FeSe. A number of proposals have been advanced for the mechanism of this…

Superconductivity · Physics 2016-05-04 Y. Wang , K. Nakatsukasa , L. Rademaker , T. Berlijn , S. Johnston