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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

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

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

\'Eliashberg theory generalized to the case of the electron-phonon (EP) systems with the not constant density of electronic states, as well as to the case of the frequency dependent renormalization of both the electron mass and the chemical…

Superconductivity · Physics 2016-12-20 Nikolay Kudryashov , Alexander Kutukov , Evgeny Mazur

\'Eliashberg theory, being generalized to the electron-phonon (EP) systems with not constant density of electronic states, as well as to the frequency behavior of the renormalization of both the electron mass and the chemical potential, is…

Superconductivity · Physics 2016-07-11 Nikolay Kudryashov , Alexander Kutukov , Evgeny Mazur

Using a multistep renormalization group method, we study the low-temperature phases of the interacting one-dimensional (1D) electron gas coupled to phonons. We obtain analytic expressions for the weak-coupling quantum phase boundaries of…

Strongly Correlated Electrons · Physics 2007-05-23 Ian P. Bindloss

We address an issue of how to accurately include the self energy effect of the screened electron-electron Coulomb interaction in the phonon-mediated superconductors from first principles. In the Eliashberg theory for superconductors, self…

Superconductivity · Physics 2022-04-06 Ryosuke Akashi

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…

Superconductivity · Physics 2018-10-22 Kamila A. Szewczyk , Radosław Szczȩśniak , Dominik Szczȩśniak

\'Eliashberg theory, being generalized to the case of the electron-phonon (EP) systems with the not constant density of electronic states, as well as to the frequency behavior of the renormalization of both the electron mass and the…

Superconductivity · Physics 2016-10-11 Nikolay Kudryashov , Alexander Kutukov , Evgeny Mazur

The thermodynamic parameters of the superconducting state, that gets induced in the metallic molecular hydrogen under the influence of the pressure at 414 GPa ($T_{C}=84$ K), have been determined. The calculations have been conducted in the…

Superconductivity · Physics 2015-06-11 R. Szczȩśniak , E. A. Drzazga

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

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 -…

Superconductivity · Physics 2019-04-08 M. V. Sadovskii

The simple microscopic model for the high-T_{C} superconductors based on the electron-phonon (EPH) and electron-electron-phonon (EEPH) interactions has been presented. On the {\it fold} mean-field level, it has been shown, that the obtained…

Superconductivity · Physics 2012-04-23 R. Szczesniak

It is shown that in 2D system of the fermions with simplest indirect boson-induced attraction (through the Einstein phonon exchange as an example) along with the normal and superconducting phases there arises a new (called "abnormal normal"…

Superconductivity · Physics 2015-06-25 V. M. Loktev , S. G. Sharapov , V. M. Turkowski

A simple model to describe the energetic phase diagram of electron-doped cuprate superconductor is developed. Interband pairing operates between the UHB and the defect states created by doping and supplied by both extincting HB-s. Two…

Superconductivity · Physics 2009-11-13 N. Kristoffel , P. Rubin

We investigate the numerical behavior of the Eliashberg equations for phonon-mediated superconductivity, incorporating normal-state self-energy calculations within the consistent $GW_{0}$ approximation. We account for the full wavenumber…

Superconductivity · Physics 2026-01-28 Ryosuke Akashi , Hiroshi Shinaoka

A reduction of the density of states near the Fermi energy in the normal state (pseudogap) of high-temperature oxide superconductors is examined on the basis of the two-dimensional tight-binding model with effective interactions due to…

Superconductivity · Physics 2009-10-31 Hiroshi Shimahara , Yasumasa Hasegawa , Mahito Kohmoto

Eliashberg theory (ET) generalized for the account of the peculiar properties of the finite zone width electron-phonon (EP) systems with the non constant electron density of states, the electron-hole nonequivalence, chemical potential…

Superconductivity · Physics 2012-12-21 E. A. Mazur , Yu. Kagan

We have identified the unscreened Froehlich electron-phonon interaction (EPI) as the most essential for pairing in cuprate superconductors as now confirmed by isotope substitution, recent angle-resolved photoemission (ARPES), and some other…

Superconductivity · Physics 2011-11-09 A. S. Alexandrov

Thermodynamic properties of the square-lattice Holstein model of the electron-phonon problem with phonon frequencies small compared to the bare Fermi energy are obtained using Monte Carlo methods, a strong-coupling (bipolaronic) expansion,…

Strongly Correlated Electrons · Physics 2019-05-29 Ilya Esterlis , Steven Kivelson , Douglas Scalapino
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