Finite-temperature real-energy-axis solutions of the isotropic Eliashberg integral equations

Anisotropic Migdal-Eliashberg theory using Wannier functions

“…1,41 In this work we prefer instead to determine the solutions of the Eliashberg equations on the real axis by analytic continuation of our calculated solutions along the imaginary axis. The analytic continuation can be performed either by using Padé approximants as in Refs.…”

Temperature-dependent gap edge in strong-coupling superconductors determined using the Eliashberg-Nambu formalism

“…This increase in T c was explored by Holcomb as a possible explanation for high temperature superconductivity in Ref. 9, where he added a peak of some electron-boson interaction with 0 = 1600 mV to the spectrum of ␣ 2 ͑͒F͑͒ and found T c = 118.1 K. The value of T c can also be estimated almost exclusively with . In order to highlight the significance of in characterizing the electron-phonon system, important to our later discussions, as well as in showing that our model and numerical results are reasonable, we evaluate T c from the following Allen-Dynes formula: 31…”

“…28 The procedure for solving the Eliashberg equations, in essence a specified method of iteration, has been detailed in the literature. 9,29 In Fig. 2, we present the real part of the gap function solutions arising from the electron-phonon interactions in Fig.…”

“…For example, it was used to study high temperature superconductivity with a pairing mechanism based jointly on electron-phonon and electronplasmon interactions. 9 It was also used to study fullerenes, 10 C 60 in particular, 11 quasi-two-dimensional metals, 12 magnesium diboride, [13][14][15][16] s-wave narrow band superconductors, 17 Na x CoO 2 · yH 2 O, 18 boron under pressure, 19 MgCNi 3 , 20 halogen doped carbon clathrates, 21 and so forth. Very recently, it was extended to extract the spectrum of the effective electron-phonon interaction, ␣ 2 ͑͒F͑͒, from optical conductivity data.…”

Predictions of highest transition-temperature for electron–phonon superconductors

“…It is very desirable to study the effects of vertex correction beyond Migdal theorem [10], especially for superconductors have components of light atoms. The Eliashberg theory has been successfully used to calculate T c of many types of superconductors [17][18][19]. However, only special regions in parameter space of λ − Ω P − µ * have been explored, where λ is the parameter of electron-phonon interaction, Ω P the frequency of phonon and µ * the Coulomb pseudo-potential.…”