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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 properties of the electron-phonon interaction in the presence of a sizable electronic repulsion at finite doping are studied by investigating the metallic phase of the Hubbard-Holstein model with Dynamical Mean Field Theory. Analyzing…

Strongly Correlated Electrons · Physics 2007-08-08 Giorgio Sangiovanni , Massimo Capone , Claudio Castellani

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. However, when a direct…

Superconductivity · Physics 2022-05-24 F. Marsiglio

A charge motion in an electric field in a Holstein molecular chain is modeled in the absence of dissipation. It is shown that in a weak electric field a Holstein polaron moves uniformly experiencing small oscillations of its shape. These…

Mesoscale and Nanoscale Physics · Physics 2013-04-04 V. D. Lakhno , A. N. Korshunova

Recent studies of hydrogen-dominant (superhydride) materials, such as LaH10 have led to putative discoveries of near-room temperature superconductivity at high pressures, with a superconducting transition temperature (Tc) of 250 K observed…

Superconductivity · Physics 2025-09-26 Xuejie Li , Wenbo zhao , Yuzhou Hao , Xiaoying Wang , Zhibin Gao , Xiangdong Ding

We present a unified view of the transport properties of small-polarons in the Holstein model at low carrier densities, based on the Dynamical Mean Field Theory. The nonperturbative nature of the approach allows us to study the crossover…

Strongly Correlated Electrons · Physics 2007-05-23 S. Fratini , S. Ciuchi

We study the relaxation of the Holstein model after a sudden switch-on of the interaction by means of the nonequilibrium dynamical mean field theory, with the self-consistent Migdal approximation as an impurity solver. We show that there…

Strongly Correlated Electrons · Physics 2015-01-22 Yuta Murakami , Philipp Werner , Naoto Tsuji , Hideo Aoki

The results of a comparative study of electronic spectral properties as well as phonon Probability Distribution Function (PDF) are reported. The study is done using Dynamical Mean Field Theory for the half-filled spinless and spinful…

Strongly Correlated Electrons · Physics 2007-05-23 S. Ciuchi , M. Capone , E. Cappelluti , G. Sangiovanni

In this paper the polaron problem for the Holstein model is studied in the weak coupling limit. We use second order perturbation theory to construct renormalized electron and phonons. Eigenstates of the Hamiltonian are labelled and the…

Condensed Matter · Physics 2009-10-31 J. M. Robin

We study the effect of strong electron-phonon interactions on the damping of the Higgs amplitude mode in superconductors by means of non-equilibrium dynamical mean-field simulations of the Holstein model. In contrast to the BCS dynamics, we…

Superconductivity · Physics 2016-09-21 Y. Murakami , P. Werner , N. Tsuji , H. Aoki

A theory of phonon-mediated superconductivity in strong-coupling amorphous materials is developed based on an effective description of structural disorder and its effect on the vibrational spectrum. The theory accounts for the…

Superconductivity · Physics 2020-06-05 Matteo Baggioli , Chandan Setty , Alessio Zaccone

We calculate the spectral properties of the one-dimensional Holstein and breathing polarons using the self-consistent Born approximation. The Holstein model electron-phonon coupling is momentum independent while the breathing coupling…

Strongly Correlated Electrons · Physics 2007-05-23 C. Slezak , A. Macridin , G. A. Sawatzky , M. Jarrell , T. A. Maier

A General Theory of Superconductivity with points of view differing from those of the BCS Theory is presented in two parts. In the first part, a general equation for the superconductivity is obtained; based on the stable pairing of two…

Superconductivity · Physics 2007-05-23 R. Riera , J. L. Marin

Looking for superconductors with higher transition temperature requires a guiding principle. In conventional superconductors, electrons pair up into Cooper pairs via the retarded attraction mediated by electron-phonon coupling.…

Strongly Correlated Electrons · Physics 2015-11-11 Da Wang , Wan-Sheng Wang , Qiang-Hua Wang

Squeezing of phonons due to the non-linear coupling to electrons is a way to enhance superconductivity as theoretically studied in a recent work [Kennes et al. Nature Physics 13, 479 (2017)]. We study quadratic electron-phonon interaction…

Superconductivity · Physics 2021-12-15 Andrey Grankin , Mohammad Hafezi , Victor M. Galitski

We study a mechanism to induce superconductivity in atomically thin semiconductors where excitons mediate an effective attraction between electrons. Our model includes interaction effects beyond the paradigm of phonon-mediated…

Mesoscale and Nanoscale Physics · Physics 2024-11-28 Jonas von Milczewski , Xin Chen , Atac Imamoglu , Richard Schmidt

I examine electron-phonon mediated superconductivity in the intermediate coupling and phonon frequency regime of the quasi-2D Holstein model. I use an extended Migdal-Eliashberg theory which includes vertex corrections and spatial…

Superconductivity · Physics 2007-05-23 J. P. Hague

The polaron formation is investigated in the intermediate regime of the Holstein model by using an exact diagonalization technique for the one-dimensional infinite lattice. The numerical results for the electron and phonon propagators are…

Strongly Correlated Electrons · Physics 2007-05-23 O. S. Barisic

It is shown that the superconducting energy gap necessarily lead to the disappearance of some quasi-electrons, thus we suggest a new boson-fermion Hamiltonian to describe superconductivity. The new supercurrent equations are derived with…

General Physics · Physics 2012-10-10 Tian De Cao

We present a formal derivation of the many-body perturbation theory for a system of electrons and bosons subject to a nonlinear electron-boson coupling. The interaction is treated at an arbitrary high order of bosons scattered. The…

Strongly Correlated Electrons · Physics 2018-08-15 Andrea Marini , Yaroslav Pavlyukh