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Related papers: Eliashberg theory with the external pair potential

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We consider a hypothetical substance, where interaction between (within) structural elements of condensed matter (molecules, nanoparticles, clusters, layers, wires etc.) depends on state of Cooper pairs: an additional work must be made…

Superconductivity · Physics 2018-05-02 Konstantin V. Grigorishin

Formulated in [Low Temperature Physics/Fizika Nizkikh Temperatur, 41, 482 (2015)] model of hypothetical superconductivity with the source term (external pair potential) in BCS hamiltonian is generalized for a case if electrons interacts via…

Superconductivity · Physics 2015-06-30 Konstantin V. Grigorishin

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…

The unconventional superconductivity in the noncentrosymmetric LaNiC$_2$, and its evolution with pressure, is analyzed basing on the {\it ab initio} computations and the full Eliashberg formalism. First principles calculations of the…

Superconductivity · Physics 2016-11-03 B. Wiendlocha , R. Szczęśniak , A. P. Durajski , M. Muras

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…

Superconductivity · Physics 2020-07-06 F. Marsiglio

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

It is shown that one can obtain quantitatively accurate values for the superconducting critical temperature within a Hamiltonian framework. This is possible if one uses a renormalized Hamiltonian that contains an attractive…

Superconductivity · Physics 2009-10-30 Andreas Mielke

We formulate and solve the Eliashberg equations on the imaginary frequency axis at temperatures below $T_c$ in the weak-coupling limit. We find an excellent scaling at all temperatures, for a given coupling strength, and the normalized…

Superconductivity · Physics 2020-02-12 Sepideh Mirabi , Rufus Boyack , F. Marsiglio

We study the relation between the Bogoliubov-de Gennes equation and the Ginzburg-Landau equation for a BCS model without external fields. While previous rigorous derivations of Ginzburg-Landau theory from BCS theory have focused on energies…

Analysis of PDEs · Mathematics 2026-05-26 Rupert L. Frank , Christian Hainzl , Dong Hao Ou Yang

The work describes the properties of the high-pressure superconducting state in phosphor: $p\in\{20, 30, 40, 70\}$ GPa. The calculations were performed in the framework of the Eliashberg formalism, which is the natural generalization of the…

Superconductivity · Physics 2023-07-19 A. M. Duda , R. Szczęśniak , M. Sowińska , I. Domagalska

The superconducting state in vanadium characterizes with the critical temperature ($T_{c}$) equal to $5.3$~K. The Coulomb pseudopotential, calculated with the help of the Eliashberg equations, possesses anomalously high value…

Superconductivity · Physics 2017-07-27 E. A. Drzazga , I. A. Domagalska , M. W. Jarosik , R. Szczȩśniak , J. K. Kalaga

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 consider the linear BCS equation, determining the BCS critical temperature, in the presence of a boundary, where Dirichlet boundary conditions are imposed. In the one-dimensional case with point interactions, we prove that the critical…

Mathematical Physics · Physics 2024-03-27 Christian Hainzl , Barbara Roos , Robert Seiringer

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…

Strongly Correlated Electrons · Physics 2020-02-26 Daniel Hauck , Markus J. Klug , Ilya Esterlis , Jörg Schmalian

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

The study of mechanisms for enhancing superconductivity has been a central topic in condensed matter physics due to the combination of fundamental and technological interests. One promising route is to exploit non-equilibrium effects in the…

Superconductivity · Physics 2026-01-13 Michele Pini , Christian H. Johansen , Francesco Piazza

The discovery of record - breaking values of superconducting transition temperature $T_c$ in quite a number of hydrides under high pressure was an impressive demonstration of capabilities of electron - phonon mechanism of Cooper pairing.…

Superconductivity · Physics 2024-01-22 M. V. Sadovskii

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

Along with some other researches we have realised that the true origin of high-temperature superconductivity should be found in the strong Coulomb repulsion combined with a significant electronphonon interaction. Both interactions are…

Superconductivity · Physics 2011-12-19 A. S. Alexandrov

Eliashberg theory is used to investigate the range of thermodynamic properties possible within a two-band model for s-wave superconductivity and to identify signatures of its two-band nature. We emphasize dimensionless BCS ratios (those for…

Superconductivity · Physics 2009-11-10 E. J. Nicol , J. P. Carbotte
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