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We analytically demonstrate the essential role of the logarithmic average phonon frequency in describing the superconducting critical temperature, directly from a predictive function. The current study assumes that the Eliashberg spectral…

Superconductivity · Physics 2025-04-25 Nattawut Natkunlaphat , Pakin Tasee , Udomsilp Pinsook

We reassess the validity of Migdal-Eliashberg (ME) theory for coupled electron-phonon systems for large couplings $\lambda$. Although model calculations have found that ME theory breaks down for $\lambda\sim 0.5$, it is routinely applied…

Superconductivity · Physics 2011-12-01 Johannes Bauer , Jong E. Han , Olle Gunnarsson

The theory of electron-phonon superconductivity depends on retardation drastically reducing effects of the strong Coulomb repulsion. The standard theory only treats the lowest order diagram, which is an uncontrolled approximation. We study…

Superconductivity · Physics 2012-12-11 Johannes Bauer , Jong E. Han , Olle Gunnarsson

We present a numerically stable Quantum Monte Carlo algorithm to calculate zero-temperature imaginary-time Green functions $ G(\vec{r}, \tau) $ for Hubbard type models. We illustrate the efficiency of the algorithm by calculating the…

Condensed Matter · Physics 2009-10-28 F. F. Assaad , M. Imada

Finite-temperature quantum field theories are formulated in terms of Green's functions and self-energies on the Matsubara axis. In multi-orbital systems, these quantities are related to positive semidefinite matrix-valued functions of the…

Strongly Correlated Electrons · Physics 2021-10-13 Jiani Fei , Chia-Nan Yeh , Dominika Zgid , Emanuel Gull

We investigate theoretically the superconducting state of the undoped Fe-based superconductor ThFeAsN. Using input from $ab~initio$ calculations, we solve the Fermi-surface based, multichannel Eliashberg equations for Cooper-pair formation…

Superconductivity · Physics 2021-09-22 Fabian Schrodi , Fairoja Cheenicode Kabeer , Alex Aperis , Peter M. Oppeneer

The Green's function has been an indispensable tool to study many-body systems that remain one of the biggest challenges in modern quantum physics for decades. The complicated calculation of Green's function impedes the research of…

Quantum Physics · Physics 2022-05-04 Jie Zhu , Yuya O. Nakagawa , Chuan-Feng Li , Guang-Can Guo , Yong-Sheng Zhang

We present a novel method for embedding spin and charge fluctuations in an anisotropic, multi-band and full-bandwidth Eliashberg treatment of superconductivity. Our analytical framework, based on the random phase approximation, allows for a…

Superconductivity · Physics 2020-07-15 Fabian Schrodi , Alex Aperis , Peter M. Oppeneer

Ab initio techniques are used to calculate the effective work function (Weff) of a TiN/HfO2/SiO2/Si stack representing a metal-oxide-semiconductor (MOS) transistor gate taking into account first order many body effects. The required band…

Superconductivity in the t-J model is studied by extending the recently introduced extremely correlated fermi liquid theory. Exact equations for the Greens functions are obtained by generalizing Gor'kov's equations to include extremely…

Superconductivity · Physics 2021-10-05 B Sriram Shastry

A Green's function in an acoustic medium can be retrieved from reflection data by solving a multidimensional Marchenko equation. This procedure requires a-priori knowledge of the initial focusing function, which can be interpreted as the…

Applied Physics · Physics 2025-08-11 Joost van der Neut , Joeri Brackenhoff , Giovanni Meles , Lele Zhang , Evert Slob , Kees Wapenaar

Electron-phonon interaction plays an important role in metals and can lead to superconductivity and other instabilities. Previous theoretical studies on superconductivity are largely based on the Migdal-Eliashberg theory, which neglects all…

Superconductivity · Physics 2021-03-05 Guo-Zhu Liu , Zhao-Kun Yang , Xiao-Yin Pan , Jing-Rong Wang

The fluctuation determinant, the preexponential factor for the instanton transition, has been computed several years ago in the Abelian Higgs model, using a method based on integrating the Euclidean Green' function. A more elegant method…

High Energy Physics - Theory · Physics 2008-11-26 Jurgen Baacke

Superconductivity arises mostly at energy and temperature scales that are much smaller than the typical bare electronic energies. Since the computational effort of diagrammatic many-body techniques increases with the number of required…

Strongly Correlated Electrons · Physics 2021-05-27 Niklas Witt , Erik G. C. P. van Loon , Takuya Nomoto , Ryotaro Arita , Tim Wehling

We investigate the dynamics of a phonon-mediated superconductor driven out of equilibrium. The electronic hopping amplitude is ramped down in time, resulting in an increased electronic density of states. The dynamics of the coupled…

Superconductivity · Physics 2016-04-12 M. A. Sentef , A. F. Kemper , A. Georges , C. Kollath

Phonon-phonon interaction is systematically studied by nonequilibrium Green's function (NEGF) formulism in momentum space at finite temperatures. Within the quasi-particle approximation, phonon frequency shift and lifetime are obtained from…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Yong Xu , Jian-Sheng Wang , Wenhui Duan , Bing-Lin Gu , Baowen Li

Superconducting properties of hypothetical simple hexagonal CaB2 are studied using the fully anisotropic Eliashberg formalism based on electronic and phononic structures and electron-phonon interactions which are obtained from ab initio…

Superconductivity · Physics 2009-09-17 Hyoung Joon Choi , Steven G. Louie , Marvin L. Cohen

We have measured the near-normal reflectance of Tl2Ba2CaCu2O8 (Tl2212) for energies from 0.1 to 4.0 eV at room temperature and used a Kramers-Kronig analysis to find the complex, frequency dependent dielectric function, from which the…

A method is presented for first-principles calculations of inelastic mean free paths and stopping powers in condensed matter over a broad energy range. The method is based on {\it ab initio} calculations of the dielectric function in the…

Materials Science · Physics 2009-11-11 A. P. Sorini , J. J. Kas , J. J. Rehr , M. P. Prange , Z. H. Levine

The many-body Green's function provides access to electronic properties beyond density functional theory level in ab inito calculations. In this manuscript, we propose a deep learning framework for predicting the finite-temperature Green's…

Chemical Physics · Physics 2024-02-20 Xinyang Dong , Emanuel Gull , Lei Wang