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The phenomenology of the iron pnictide superconductor can be described by the threeband s+- Eliashberg theory in which the mechanism of superconducting coupling is mediated by antiferromagnetic spin fluctuations and whose characteristic…

Superconductivity · Physics 2023-01-12 G. A. Ummarino

Migdal-Eliashberg theory of boson-mediated superconductivity contains a $\sqrt{\lambda}$ divergence in the critical temperature $T_c$ for strong electron-boson coupling $\lambda$. In the conventional Migdal-Eliashberg theory, the…

Strongly Correlated Electrons · Physics 2025-11-21 Nikolay V. Gnezdilov , Rufus Boyack

We present a systematic study of the response properties of two-band (multi-gap) superconductors with spin-singlet (s-wave) pairing correlations, which are assumed to be caused by both intraband (\lambda_{ii}, i=1,2) and interband…

Superconductivity · Physics 2014-06-24 Nikolaj Bittner , Dietrich Einzel

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

The variation of the superconducting critical temperature Tc as a function of x in the diboride Mg1-xAlxB2 has been studied in the framework of the two-bands Eliashberg theory and traditional phonon coupling mechanism. We have solved the…

Superconductivity · Physics 2009-11-10 G. A. Ummarino , R. S. Gonnelli , S. Massidda , A. Bianconi

The temperature dependence of the two superconducting gaps in pressurised H_3S at 155 GPa with a critical temperature of 203 K has been determined by data analysis of the experimental curve of the upper critical magnetic field as a function…

Superconductivity · Physics 2023-08-02 G. A. Ummarino , A. Bianconi

Using the Ginzburg-Landau theory for two-band superconductors, we determine the surface energy, sigma_s, between coexisting normal and superconducting states at the thermodynamic critical magnetic field. Close to the transition temperature,…

Superconductivity · Physics 2015-05-19 Jani Geyer , Rafael M. Fernandes , V. G. Kogan , Jörg Schmalian

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

We study the spin-fluctuation-mediated $s\pm$-wave superconductivity in the bilayer Hubbard model with vertical and diagonal interlayer hoppings. As in the two-leg ladder model with diagonal hoppings, studied previously by the present…

Superconductivity · Physics 2020-04-22 Karin Matsumoto , Daisuke Ogura , Kazuhiko Kuroki

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 standard Eliashberg theory of superconductivity is studied, in which the effective electron-electron interactions are mediated by generally dispersive phonons, with Eliashberg spectral function $\alpha^2 F(\omega)\geq 0$ that is…

Mathematical Physics · Physics 2025-07-15 Michael K. -H. Kiessling , Boris L. Altshuler , Emil A. Yuzbashyan

The emergence of near-ambient temperature superconductivity under pressure in the metal hydride systems has motivated a desire to further understand such remarkable properties, specifically critical magnetic fields. YH$_6$ is suggested to…

Superconductivity · Physics 2023-08-02 S. Villa-Cortés , O. De la Peña-Seaman , Keith V. Lawler , Ashkan Salamat

We consider the behaviour of the fluctuating specific heat and conductivity in the vicinity of the upper critical field line for a two-band superconductor. Multiple-band effects are pronounced when the bands have very different coherence…

Superconductivity · Physics 2015-06-22 A. E. Koshelev , A. A. Varlamov

The recently discovered multiband superconductors have created a new class of novel superconductors. In these materials multiple superconducting gaps arise due to the formation of Cooper pairs on different sheets of the Fermi surfaces. An…

Superconductivity · Physics 2014-07-23 Brendan J. Wilson , Mukunda P. Das

Using the recent reformulation for the Eliashberg theory of superconductivity in terms of a classical interacting Bloch spin chain model, rigorous upper and lower bounds on the critical temperature $T_c$ are obtained for the $\gamma$ model…

Mathematical Physics · Physics 2025-06-10 Michael K. -H. Kiessling , Boris L. Altshuler , Emil A. Yuzbashyan

In flat bands, superconductivity can lead to surprising transport effects. The superfluid "mobility", in the form of the superfluid weight $D_s$, does not draw from the curvature of the band but has a purely band-geometric origin. In a…

Superconductivity · Physics 2021-01-20 Valerio Peri , Zhida Song , B. Andrei Bernevig , Sebastian D. Huber

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

We apply the Migdal-Eliashberg theory of superconductivity to heavy-fermion and mixed valence materials. Specifically, we extend the Anderson lattice model to a case when there exists a strong coupling between itinerant electrons and…

Superconductivity · Physics 2024-08-28 Samuel Awelewa , Maxim Dzero

The high-transition-temperature (high-Tc) superconductivity discovered recently in iron pnictides is analyzed within a perturbation theory. Specifically, the probable pairing symmetry, the doping dependence of the transition temperature and…

Superconductivity · Physics 2009-11-13 Takuji Nomura

Thermodynamic properties of the multiband superconductor MgB$_{2}$ have often been described using a simple sum of the standard BCS expressions corresponding to $\sigma$- and $\pi$-bands. Although, it is \textit{a priori} not clear if this…

Superconductivity · Physics 2009-11-11 Oleg V. Dolgov , Reinhard K. Kremer , Jens Kortus , Alexander A. Golubov , Sergei V. Shulga