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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

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

The electronic properties of correlated metals with a strong electron-phonon coupling may be understood in terms of a combination of Landau's Fermi-liquid theory and the strong-coupling theory of Migdal and Eliashberg. In these lecture…

Superconductivity · Physics 2018-09-19 D. Rainer , J. A. Sauls

Magnetization measurements under hydrostatic pressure up to 10.5 kbar in zirconium dodecaboride ZrB$_{12}$ superconductor ($T_c\simeq6.0$ K at $p=0$) were carried out. A negative pressure effect on $T_c$ with ${\rm d} T_c/{\rm d} p…

Superconductivity · Physics 2009-11-11 R. Khasanov , D. Di Castro , M. Belogolovskii , Yu. Paderno , V. Filippov , R. Brütsch , H. Keller

We present a first principles investigation of the lattice dynamics and electron-phonon coupling of the superconductor MgB_2 and the isostructural AlB_2 within the framework of density functional perturbation theory using a mixed-basis…

Superconductivity · Physics 2009-11-07 K. -P. Bohnen , R. Heid , B. Renker

The electron-phonon coupling of a theoretically devised carbon phase made by assembling the smallest fullerenes C$_{20}$ is calculated from first principles. The structure consists of C$_{20}$ cages in an {\it fcc} lattice interlinked by…

Materials Science · Physics 2009-11-07 I. Spagnolatti , M. Bernasconi , G. Benedek

We present a detailed study on the influence of strong electron-phonon coupling to the photoemission spectra of lead. Representing the strong-coupling regime of superconductivity, the spectra of lead show characteristic features that…

Superconductivity · Physics 2009-11-10 F. Reinert , B. Eltner , G. Nicolay , D. Ehm , S. Schmidt , S. Huefner

Recently, an alkaline earth hydride CaH$_6$ having a sodalitelike clathrate structure has been experimentally synthesized at megabar pressures with a maximum $T_c$ of 215 K, comparable to that of a rare earth hydride LaH$_{10}$. Here, based…

Superconductivity · Physics 2022-09-14 Hyunsoo Jeon , Chongze Wang , Shuyuan Liu , Jin Mo Bok , Yunkyu Bang , Jun-Hyung Cho

We present a new first-principles linear-response theory of changes due to perturbations in the quasiparticle self-energy operator within the $GW$ method. This approach, named $GW$ perturbation theory ($GW$PT), is applied to calculate the…

Materials Science · Physics 2019-05-15 Zhenglu Li , Gabriel Antonius , Meng Wu , Felipe H. da Jornada , Steven G. Louie

A nonperturbative dynamical coupling approach based on tight-binding molecular dynamics is used to evaluate the electron-ion (electron-phonon) coupling parameter in irradiated semiconductors as a function of the electronic temperature up to…

Materials Science · Physics 2023-10-25 Nikita Medvedev

The isotope effect (IE) in the two-dimensional Hubbard model with Holstein phonons is studied using the dynamical cluster approximation with quantum Monte Carlo. At small electron-phonon (EP) coupling the IE is negligible. For larger EP…

Strongly Correlated Electrons · Physics 2009-03-24 Alexandru Macridin , Mark Jarrell

The rate of energy transfer between electrons and phonons is investigated by a first principles framework for electron temperatures up to $T_e=50000$ K while considering the lattice at ground state. Two typical but differently complex…

Other Condensed Matter · Physics 2022-03-08 Jia Zhang , Rui Qin , Wenjun Zhu , Jan Vorberger

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 show an efficient way to compute the electron-phonon coupling constant, $\lambda$, and the superconducting transition temperature, Tc from first-principles calculations. This approach gives rapid convergence of Tc with respect to the…

Superconductivity · Physics 2017-10-11 Takashi Koretsune , Ryotaro Arita

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

We discuss the possibility of superconductivity in graphene taking into account both electron-phonon and electron-electron Coulomb interactions. The analysis is carried out assuming that the Fermi energy is far away from the Dirac points,…

Superconductivity · Physics 2011-12-13 M. Einenkel , K. B. Efetov

Lortz et al. [Phys. Rev. B 73, 024512 (2006)] have utilized specific heat and resistivity measurements as "thermal spectroscopies" to deconvolve the spectrum of the electron-phonon interaction in YB$_6$ assuming a major role of the low…

Superconductivity · Physics 2013-04-01 P. Szabo , J. Girovsky , Z. Pribulova , J. Kacmarcik , T. Mori , P. Samuely

The Peierls instability in one-dimensional electron-phonon systems is known to be qualitatively well described by the Mean-Field theory, however the related self-consistent problem so far has only been able to predict a partial suppression…

Strongly Correlated Electrons · Physics 2021-10-04 Alain M. Dikande , C. Bourbonnais

The "standard" theory of a normal metal consists of an effective electron band which interacts with phonons and impurities. The effects due to the electron-phonon interaction are often delineated within the Migdal approximation; the…

Strongly Correlated Electrons · Physics 2009-11-10 Fatih Dogan , Frank Marsiglio

The exchange-correlation energy in Kohn-Sham density functional theory can be expressed exactly in terms of the change in the expectation of the electron-electron repulsion operator when, in the many-electron hamiltonian, this same operator…

Strongly Correlated Electrons · Physics 2009-08-05 Paola Gori-Giorgi , Giovanni Vignale , Michael Seidl
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