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Related papers: Nonlinear electron-phonon interactions in Migdal-E…

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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

The variation of the superconducting critical temperature Tc as a function of the pressure p in the magnesium diboride MgB2 has been studied in the framework of two-bands Eliashberg theory and traditional phonon coupling mechanism. I have…

Superconductivity · Physics 2015-06-24 G. A. Ummarino

The Migdal-Eliashberg (ME) formalism provides a reliable framework for describing phonon-mediated superconductivity in the adiabatic regime, where the electronic Fermi energy exceeds the characteristic phonon energy. In this work, we go…

Superconductivity · Physics 2025-12-05 Shashi B. Mishra , Hitoshi Mori , Elena R. Margine

To investigate the possibility whether electron-phonon coupling can enhance orbital fluctuations in iron-based superconductors, we develop an ab initio method to construct the effective low-energy models including the phonon-related terms.…

Superconductivity · Physics 2014-01-20 Yusuke Nomura , Kazuma Nakamura , Ryotaro Arita

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

The titular manuscript invites a description of the background of research on MgB$_2$,whose unique electron-phonon coupling strength and record superconducting T$_c$ for such a material at ambient pressure was demonstrated by the combined…

Superconductivity · Physics 2023-06-06 Warren E. Pickett

Near a quantum critical point (QCP) in a metal, strong Fermion-Fermion interactions mediated by soft collective bosons give rise to two competing phenomena: non-Fermi liquid behavior and superconductivity that deviates from conventional BCS…

Superconductivity · Physics 2025-12-24 Ahmed Elezaby , Artem Abanov

Unconventional superconductivity is commonly linked to electronic pairing mechanisms, since it is believed that the conventional electron-phonon interaction (EPI) cannot cause sign-changing superconducting gap symmetries. Here, we show that…

Superconductivity · Physics 2021-11-10 Fabian Schrodi , Peter M. Oppeneer , Alex Aperis

Mathematical correct method for extraction of the complex superconducting energy gap parameter and electron- phonon interaction function from the tunnel density of states is presented. The computer program is shown to be robust against…

Superconductivity · Physics 2007-05-23 A. I. D'yachenko

Recent work on an electron-phonon model in two-dimensions is reviewed and some new results are presented. We utilize both Quantum Monte Carlo simulations and Migdal-Eliashberg theory. The type of electron-ion coupling considered is on-site.…

Superconductivity · Physics 2021-01-29 F. Marsiglio

Inelastic tunneling spectroscopy of Pb islands on Cu(111) obtained by scanning tunneling microscopy below 1K provides a direct access to the local Eliashberg function of the islands with high energy resolution. The Eliashberg function…

The Migdal-Eliashberg theory (MET) describes electrons interacting with phonons in the adiabatic limit when the phonon Debye frequency is much smaller than the Fermi energy. A conventional belief is that MET holds even at strong coupling,…

Strongly Correlated Electrons · Physics 2026-04-22 Andrey Chubukov , Ilya Esterlis , Artem Abanov , Nikolay Prokof'ev

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

The derivation of the Eliashberg -- type equations for a superconductor with strong correlations and electron--phonon interaction has been presented. The proper account of short range Coulomb interactions results in a strongly anisotropic…

Condensed Matter · Physics 2009-10-28 Karol I. Wysokinski

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

Thermoelectric properties of graphene nanoribbons with periodic edge vacancies and antidot lattice are investigated. The electron-phonon interaction is taken into account in the framework of the Hubbard-Holstein model with the use of the…

Materials Science · Physics 2016-11-23 D. V. Kolesnikov , D. A. Lobanov , V. A. Osipov

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

In compound semiconductors and insulators, the polar electron-phonon coupling diverges at long range, known as the Fr\"ohlich interaction. Modern first-principles electron-phonon calculations treat the Fr\"ohlich interaction in a…

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

Taking as a starting point the results of LDA calculations, which show that in MgB2 the phonons have a strong quartic anharmonicity and that the bond-stretching electron-phonon interaction (EPI) has both a linear and a large quadratic…

Superconductivity · Physics 2009-11-10 M. Acquarone , L. Romano'