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The nonadiabatic electron-phonon corrections for the superconducting pairing are investigated for a specific tight-binding model corresponding to a 2d square lattice. This permits to investigate the role of various specific properties like…

Superconductivity · Physics 2009-10-31 A. Perali , C. Grimaldi , L. Pietronero

We investigate effects of a nonadiabatic electron-phonon(boson) interaction on the quasiparticle self-energy in the lowest order in the coupling constant. Existing approaches either overestimate, or underestimate these effects because of…

Superconductivity · Physics 2009-10-31 O. V. Danylenko , O. V. Dolgov

The properties of the d-wave superconducting state in the two-dimensional system have been studied. It has been assumed, that the pairing mechanism is based on the electron-phonon and the electron-electron-phonon interactions. The obtained…

Superconductivity · Physics 2012-04-23 R. Szczȩśniak

We investigate the dynamical effects of pairing interaction on superconductivity in BCS-BEC crossover by studying the Holstein model at half-filling where the electron-phonon coupling $g$ controls the crossover. The dynamical mean-field…

Superconductivity · Physics 2019-05-15 Tae-Ho Park , Han-Yong Choi

The adiabatic Born-Oppenheimer approximation is considered to be a robust approach that very rarely breaks down. Consequently, it is predominantly utilized to address various electron-phonon properties in condensed matter physics. By…

Superconductivity · Physics 2023-03-01 Nina Girotto , Dino Novko

The crossover between two customary limits of phonon-assisted tunneling, the adiabatic and antiadiabatic regimes, is studied systematically in the framework of a minimal model for molecular devices: a resonant level coupled by displacement…

Mesoscale and Nanoscale Physics · Physics 2013-03-29 Eitan Eidelstein , Dotan Goberman , Avraham Schiller

We solve the anisotropic, full-bandwidth and non-adiabatic Eliashberg equations for phonon-mediated superconductivity by fully including the first vertex correction in the electronic self-energy. The non-adiabatic equations are solved…

Superconductivity · Physics 2020-07-06 Fabian Schrodi , Peter M. Oppeneer , Alex Aperis

In the present paper, the impact of small Fermi energy on the selected parameters of the superconducting state in Ba$_{1-x}$K$_{x}$BiO$_{3}$ (BKBO) is studied at $x \in (0.3, 0.4, 0.5)$. This is done by employing the adiabatic and…

We develop the nonadiabatic polaron theory of superconductivity of $M_{x}C_{60}$ taking into account the polaron band narrowing and realistic electron-phonon and Coulomb interactions. We argue that the crossover from the BCS weak-coupling…

Condensed Matter · Physics 2009-10-28 A. S. Alexandrov , V. V. Kabanov

Fermi energies in fullerene compounds and cuprates are extremely small as consequence of the small number of charge carriers and are comparable to the phonon frequency scale. In this situation the conventional Migdal-Eliashberg theory does…

Superconductivity · Physics 2009-10-31 M. Botti , E. Cappelluti , C. Grimaldi , L. Pietronero

High-$T_c$ superconductors have Fermi energies $E_F$ much smaller than conventional metals comparable to phonon frequencies. In such a situation nonadiabatic effects are important. A generalization of Eliashberg theory in the nonadiabatic…

Superconductivity · Physics 2009-10-31 P. Paci , C. Grimaldi , L. Pietronero , E. Cappelluti

The comparison study of high pressure superconducting state of recently synthesized H$_3$S and PH$_3$ compounds are conducted within the framework of the strong-coupling theory. By generalization of the standard Eliashberg equations to…

Superconductivity · Physics 2017-07-05 Artur P. Durajski

We study effects of nonadiabatic couplings in a model of a diatomic molecule in the context of attosecond transient absorption spectroscopy. By using a model system consisting of four diabatic electronic states and with a variable strength…

Atomic Physics · Physics 2021-03-03 Nikolaj S. W. Ravn , Lars Bojer Madsen

We investigate by means of Dynamical Mean-Field Theory the crossover from BCS superconductivity to Bose-Einstein (BE) condensation of preformed pairs in the attractive Hubbard model. We follow the evolution of the two energy scales…

Strongly Correlated Electrons · Physics 2007-08-07 A. Toschi , M. Capone , C. Castellani

We theoretically study the pump-probe response of nonequilibrium BCS superconductors coupled to optical phonons. For ultrashort pump pulses a nonadiabatic regime emerges, which is characterized by oscillations of the superconducting order…

Superconductivity · Physics 2014-07-29 H. Krull , D. Manske , G. S. Uhrig , A. P. Schnyder

Electron-boson coupling plays a key role in superconductivity for many systems. However, in copper-based high-temperature ($T_c$) superconductors, its relation to superconductivity remains controversial despite strong spectroscopic…

We have demonstrated that it is possible to access a crossover scenario starting with a weak coupling (BCS) d-wave superconductor to a strongly coupled Bose-Einstein condensate (BEC) phase as the exchange interaction is tuned in a two…

Strongly Correlated Electrons · Physics 2015-06-15 Subrat Kumar Das , Ayan Khan , Saurabh Basu

We study the phase fluctuations in the normal state of generic two-dimensional superconducting systems with s-wave pairing. The effect of phase fluctuations of the pairing fields can be dealt with perturbatively using disorder averaging,…

Superconductivity · Physics 2023-06-02 Xu-Cheng Wang , Yang Qi

We show the intrinsic inconsistency of the conventional phonon mediated theory of superconductivity in relation to the observed properties of Rb$_3$C$_{60}$. The recent, highly accurate measurement of the carbon isotope coefficient…

Superconductivity · Physics 2007-05-23 E. Cappelluti , C. Grimaldi , L. Pietronero , S. Straessler

The intermediate coupling regime in polaronic systems, situated between the adiabatic and the anti-adiabatic limit, is characterized by resonant pairing between quasi-free electrons which is induced by an exchange interaction with localized…

Superconductivity · Physics 2009-11-10 Julius Ranninger , Alfonso Romano
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