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In this article in the framework of generalized Frolich model we consider electron-spin-phonon system. A parameter of electron-spin-phonon interaction is found. It is shown its interrelation with experiments on isotope-effect on high…

Superconductivity · Physics 2007-05-23 L. Joukovskaya

Here the electron-phonon Holstein model with Rashba spin-orbit interaction is studied for a two dimensional square lattice in the adiabatic limit. It is demonstrated that a delocalized electron at zero spin-orbit coupling localizes into a…

Strongly Correlated Electrons · Physics 2015-05-14 C. Grimaldi

We calculate the value of the Fr\"ohlich electron-phonon interaction in manganites, cuprates, and some other charge-transfer insulators and show that this interaction is much stronger than any relevant magnetic interaction. A polaron shift…

Strongly Correlated Electrons · Physics 2009-10-31 A. S. Alexandrov , A. M. Bratkovsky

Large-bipolaron superconductivity is plausible with carrier densities well below those of conventional metals. Bipolarons form when carriers self-trap in pairs. Coherently moving large-bipolarons require extremely large ratios of static to…

Superconductivity · Physics 2017-05-31 David Emin

Employing a largely unbiased variational exact diagonalization technique, we analyze the consequences of longer-ranged electron hopping and electron-phonon interaction on polaron formation in one dimension. Having at our disposal the…

Strongly Correlated Electrons · Physics 2024-02-20 Monodeep Chakraborty , Jayita Chatterjee , Holger Fehske

It is widely believed that in an adiabatic limit a Fermi liquid state of an electron-phonon system described by Migdal-Eliashberg theory remains stable before a dressed phonon softens. Using Holstein model as a prototypical example and…

Strongly Correlated Electrons · Physics 2026-04-22 Nikolay Prokof'ev , Ilya Esterlis , Artem Abanov , Andrey Chubukov

The "standard" theory of a normal metal consists of an effective electron band which interacts with phonons and impurities. The effects due to the electron-phonon interaction are often delineated within the Migdal approximation; the…

Strongly Correlated Electrons · Physics 2009-11-10 Fatih Dogan , Frank Marsiglio

Two-site single electron system interacting with many vibrating ions of a lattice via a long-range (Fr\"{o}hlich) electron-phonon interaction is studied in the adiabatic regime. The renormalised hopping integral of small adiabatic…

Condensed Matter · Physics 2009-11-10 A. S. Alexandrov , B. Ya. Yavidov

We investigate full quantum mechanical evolution of two electrons nonlinearly coupled to quantum phonons and simulate the dynamical response of the system subject to a short spatially uniform optical pulse that couples to dipole-active…

Statistical Mechanics · Physics 2025-03-06 K. Kovač , D. Golež , M. Mierzejewski , J. Bonča

The polaron features of the one-dimensional Holstein Molecular Crystal Model are investigated by improving a variational method introduced recently and based on a linear superposition of Bloch states that describe large and small polaron…

Condensed Matter · Physics 2009-10-31 V. Cataudella , G. De Filippis , G. Iadonisi

We study the effects of the Rashba spin-orbit coupling on the polaron formation, using a suitable generalization of the Momentum Average approximation. Contrary to previous investigations of this problem, we find that the spin-orbit…

Strongly Correlated Electrons · Physics 2015-05-13 Lucian Covaci , Mona Berciu

Magnon polarons are novel elementary excitations possessing hybrid magnonic and phononic signatures, and are responsible for many exotic spintronic and magnonic phenomena. Despite long-term sustained experimental efforts in chasing for…

We consider the dependence of the MgB_2 superconducting critical temperature on the pressure. Our model exploits the influence of the large polarons on the band structure of the layered MgB_2 superconductor. Namely, the hole Pekar-Froehlich…

Superconductivity · Physics 2009-11-07 V. A. Ivanov , M. A. Smondyrev , J. T. Devreese

The coupling of electrons and phonons is governed wisely by the symmetry properties of the crystal structures. In particular, for two-dimensional (2D) systems, it has been suggested that the electrons do not couple to phonons with pure…

Mesoscale and Nanoscale Physics · Physics 2022-07-05 Mohammad Alidoosti , Davoud Nasr Esfahani , Reza Asgari

Evidence for strong electron-phonon coupling in high-Tc cuprates is reviewed, with emphasis on the electron and phonon spectral functions. Effects due to the interplay between the Coulomb and electron-phonon interactions are studied. For…

Strongly Correlated Electrons · Physics 2008-01-17 O. Gunnarsson , O. Rösch

We consider a polaron model where molecular \emph{rotations} are important. Here, the usual hopping between neighboring sites is affected directly by the electron-phonon interaction via a {\em twist-dependent} hopping amplitude. This model…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Wei Zhang , Alexander O. Govorov , Sergio E. Ulloa

\textit{Ab initio} calculations of electron-phonon interactions including the polar Fr\"ohlich coupling have advanced considerably in recent years. The Fr\"ohlich electron-phonon matrix element is by now well understood in the case of bulk…

Materials Science · Physics 2022-03-16 Weng Hong Sio , Feliciano Giustino

Electron-lattice interactions play a prominent role in quantum materials, making a deeper understanding of direct routes to phonon-mediated high-transition-temperature ($T_{\mathrm{c}}$) superconductivity desirable. However, it has been…

Superconductivity · Physics 2023-02-03 C. Zhang , J. Sous , D. R. Reichman , M. Berciu , A. J. Millis , N. V. Prokof'ev , B. V. Svistunov

The Holstein model often serves as an archetype for electron-phonon interactions and polaron formation in solids. However, precise descriptions of the Holstein polaron are difficult when the phonon frequency is small and the electron-phonon…

Strongly Correlated Electrons · Physics 2026-03-10 Connor M. Walsh , Igor Boettcher , Frank Marsiglio

With the advent of atomically thin and tunable van der Waals materials, a two-dimensional electronic Wigner crystal has recently been observed. The smoking gun signal was the appearance of an umklapp branch in optical exciton spectroscopy…

Strongly Correlated Electrons · Physics 2025-12-19 Jens Havgaard Nyhegn , Esben Rohan Christensen , Georg M. Bruun
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