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The long term scaling prospects for solid-state quantum computing architectures relies heavily on the ability to simply and reliably measure and control the coherent electron interaction strength, known as the tunnel coupling, $t_c$. Here,…

The Hubbard-Holstein model is a simple model including both electron-phonon interaction and electron-electron correlations. We review a body of theoretical work investigating the effects of strong correlations on the electron-phonon…

Strongly Correlated Electrons · Physics 2014-11-20 M. Capone , C. Castellani , M. Grilli

Electron-phonon coupling is a key interaction that governs diverse physical processes such as carrier transport, superconductivity, and optical absorption. Calculating such interactions from first-principles with methods beyond…

Materials Science · Physics 2025-08-21 Aleksandr Poliukhin , Nicola Colonna , Francesco Libbi , Samuel Poncé , Nicola Marzari

Electron-phonon coupling is at the origin of conventional superconductivity, enabling the pairing of electrons into Cooper pairs. The electron-phonon matrix elements depend on the electronic eigenstates and, in the standard linear…

Superconductivity · Physics 2025-07-10 Trinidad Novoa , Raffaello Bianco , Julia Contreras-García , Ion Errea

The density functional theory for superconductors developed in the preceding article [cond-mat/0408685] is applied to the calculation of superconducting properties of several elemental metals. In particular, we present results for the…

This article reviews the theory of electron-phonon interactions in solids from the point of view of ab-initio calculations. While the electron-phonon interaction has been studied for almost a century, predictive non-empirical calculations…

Materials Science · Physics 2017-03-08 Feliciano Giustino

The effective attractive interaction between electrons, mediated by electron-phonon coupling, is a well-established mechanism of conventional superconductivity. In metals exhibiting a Fermi surface, the critical temperature of…

Superconductivity · Physics 2018-12-03 R. Ojajärvi , T. Hyart , M. Silaev , T. T. Heikkilä

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

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

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

Using an accurate semi-analytic wavefunction for two electron atoms, we construct the external potential for varying strength of electron-electron (e-e) interaction. Using this potential we explicitly calculate the energy of their positive…

Atomic and Molecular Clusters · Physics 2016-02-18 Rabeet Singh Chauhan , Manoj K. Harbola

Angle-resolved photoemission spectroscopy is a powerful experimental technique for studying anisotropic many-body interactions through the electron spectral function. Existing attempts to decompose the spectral function into non-interacting…

Materials Science · Physics 2026-05-01 Thomas P. van Waas , Christophe Berthod , Jan Berges , Nicola Marzari , J. Hugo Dil , Samuel Poncé

We obtain the effective action of tunnel-coupled quantum dots, by modeling the system as a Luttinger liquid with multiple barriers. For a double dot system, we find that the resonance conditions for perfect conductance form a hexagon in the…

Mesoscale and Nanoscale Physics · Physics 2007-12-03 Sourin Das , Sumathi Rao

We present a comparison of electron-phonon interaction in NbB_2 and MgB_2, calculated using full-potential, density-functional-based methods in P6/mmm crystal structure. Our results, described in terms of (i) electronic structure, (ii)…

Superconductivity · Physics 2009-11-07 Prabhakar P. Singh

In conventional superconductors, the most direct evidence of the mechanism responsible for superconductivity comes from tunneling experiments in which a clear image of the electron-phonon interaction is revealed. The observed structure in…

Superconductivity · Physics 2009-10-31 J. P. Carbotte , E. Schachinger , D. N. Basov

The expression for additional subgap current in the presence of electron-phonon interaction is derived. We show that the phonon assisted tunneling leads to appearance of peaks on current-voltage characteristics at the Josephson frequencies…

Superconductivity · Physics 2009-10-31 E. G. Maksimov , P. I. Arseyev , N. S. Maslova

The analysis of tunneling experiments showing the pseudogap type behavior is carried out based on the idea of the renormalization of density of states due to the inter-electron interaction in the Cooper channel (superconducting fluctuations…

Superconductivity · Physics 2009-10-31 A. M. Cucolo , M. Cuoco , A. A. Varlamov

The McMillan-Rowell tunneling inversion program, which extracts the electron-phonon spectral function $\alpha^2F(\Omega)$ and the Coulomb pseudopotential $\mu^*$ from experimental tunneling data, is generalized to include the lowest-order…

Condensed Matter · Physics 2015-06-25 J. K. Freericks , E. J. Nicol , A. Y. Liu , A. A. Quong

Electrical conductivity is an important transport response in superconductors, enabling clear signatures of dynamical interactions to be observed. Of primary interest in this paper is to study characteristics of the electron-phonon…

Superconductivity · Physics 2023-04-05 Rufus Boyack , Sepideh Mirabi , F. Marsiglio

Density functional theory (DFT) based ab-initio calculations of electronic, phononic, and superconducting properties of 1T MoS2 are reported. The phonon dispersions are computed within density-functional-perturbation-theory (DFPT). We have…

Superconductivity · Physics 2021-07-08 Jagdish Kumar , Harkirat Singh