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How electron-phonon interactions influence high-temperature superconductivity in cuprates remains contested, and their role outside the CuO$_2$ planes has been largely overlooked. The most conspicuous evidence for such coupling is the…

We introduce a different perspective describing electron-phonon interactions in graphene based on curved space hydrodynamics. Interactions of phonons with charge carriers increase the electrical resistivity of the material. Our approach…

Materials Science · Physics 2017-02-15 Ilario Giordanelli , Miller Mendoza , Hans Herrmann

We analyze the ground-state properties of strongly-correlated electrons coupled with phonons by means of a generalized Gutzwiller wavefunction which includes phononic degrees of freedom. We study in detail the paramagnetic half-filled…

Strongly Correlated Electrons · Physics 2008-07-29 P. Barone , R. Raimondi , M. Capone , C. Castellani , M. Fabrizio

I present results from an approach that extends the Eliashberg theory by systematic expansion in the vertex function; an essential extension at large phonon frequencies, even for weak coupling. In order to deal with computationally…

Superconductivity · Physics 2009-01-09 J. P. Hague

First-principles studies of the electron-phonon coupling in graphene predict a high coupling strength for the $\sigma$ band with $\lambda$ values of up to 0.9. Near the top of the $\sigma$ band, $\lambda$ is found to be $\approx 0.7$. This…

Mesoscale and Nanoscale Physics · Physics 2017-02-28 Federico Mazzola , Thomas Frederiksen , Thiagarajan Balasubramanian , Philip Hofmann , Bo Hellsing , Justin W. Wells

Materials with correlated electrons often respond very strongly to external or internal influences, leading to instabilities and states of matter with broken symmetry. This behavior can be studied theoretically either by evaluating the…

Strongly Correlated Electrons · Physics 2017-08-15 J. Kunes , I. Leonov , P. Augustinsky , V. Krapek , M. Kollar , D. Vollhardt

We propose a new semiclassical approach based on the dynamical mean field theory to treat the interactions of electrons with local lattice fluctuations. In this approach the classical (static) phonon modes are treated exactly whereas the…

Strongly Correlated Electrons · Physics 2009-11-07 S. Blawid , A. Deppeler , A. J. Millis

We report energy renormalizations from electron-phonon and electron-magnon interactions in spin minority surface resonances on Ni(111). The different interactions are identified, disentangled, and quantified from the characteristic…

Phonons are fundamentally important for many materials properties, including thermal and electronic transport, superconductivity, and structural stability. Here, we describe a method to compute phonons in correlated materials using…

Materials Science · Physics 2020-12-03 Can P. Koçer , Kristjan Haule , G. Lucian Pascut , Bartomeu Monserrat

Studies of Hamiltonians modeling the coupling between electrons as well as to local phonon excitations have been fundamental in capturing the novel ordering seen in many quasi-one dimensional condensed matter systems. Extending studies of…

Strongly Correlated Electrons · Physics 2023-06-21 Nahom K. Yirga , Ka-Ming Tam , David K. Campbell

Despite over two decades of intense research efforts, the origin of high-temperature superconductivity in the copper oxides remains elusive. Angle-resolved photoemission experiments (ARPES) revealed a kink in the dispersion relations…

Superconductivity · Physics 2007-11-27 Feliciano Giustino , Marvin L. Cohen , Steven G. Louie

We derive a formula for the electric polarization of interacting insulators, expressed in terms of the full Green's and vertex functions. We exemplify this method in the half-filled ionic Hubbard model treated within dynamical mean field…

Strongly Correlated Electrons · Physics 2014-02-07 R. Nourafkan , G. Kotliar

Electron-phonon coupling (EPC) is key for understanding many properties of materials such as superconductivity and electric resistivity. Although first principles density-functional-theory (DFT) based EPC calculations are used widely, their…

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

The fine structure of the Dirac energy spectrum in graphene induced by electron-optical phonon coupling is investigated in the portion of the spectrum near the phonon emission threshold. The derived new dispersion equation in the immediate…

Mesoscale and Nanoscale Physics · Physics 2013-07-29 S. M. Badalyan , F. M. Peeters

Motivated by the recent discovery of superconductivity in Ca- and Yb-intercalated graphite (CaC$_{6}$ and YbC$_{6}$) and from the ongoing debate on the nature and role of the interlayer state in this class of compounds, in this work we…

Superconductivity · Physics 2016-08-14 Lilia Boeri , Giovanni B. Bachelet , Matteo Giantomassi , Ole K. Andersen

The electron-phonon (e-ph) interaction remains of great interest in condensed matter physics and plays a vital role in realizing superconductors, charge-density-waves (CDW), and polarons. We study the two-dimensional Holstein model for e-ph…

Strongly Correlated Electrons · Physics 2021-07-12 B. Nosarzewski , E. W. Huang , Philip M. Dee , I. Esterlis , B. Moritz , S. A. Kivelson , S. Johnston , T. P. Devereaux

The interplay of electron-phonon (el-ph) and electron-electron (el-el) interactions in epitaxial graphene is studied by directly probing its electronic structure. We found a strong coupling of electrons to the soft part of the A1g phonon…

Materials Science · Physics 2008-11-21 S. Y. Zhou , D. A. Siegel , A. V. Fedorov , A. Lanzara

We examine how the electron correlation affects the electron-phonon (EP) interaction in the linear optical absorption spectrum of the one-dimensional (1D) extended Hubbard-Holstein model. A density matrix renormalization group (DMRG)…

Strongly Correlated Electrons · Physics 2009-11-13 Hiroaki Matsueda , Akihiro Ando , Takami Tohyama , Sadamichi Maekawa

In this chapter the strength of electronic correlations in the normal phase of Fe-superconductors is discussed. It will be shown that the agreement between a wealth of experiments and DFT+DMFT or similar approaches supports a scenario in…

Superconductivity · Physics 2015-07-28 Luca de' Medici