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Recently superconductivity has been discovered at around 200~K in a hydrogen sulfide system and around 260~K in a lanthanum hydride system, both under pressures of about 200 GPa. These record-breaking transition temperatures bring within…

Superconductivity · Physics 2020-07-15 Sabri Elatresh , T. Timusk , E. J. Nicol

We investigate the interaction of strongly correlated electrons with phonons in the frame of the Hubbard-Holstein model. The electron-phonon interaction is considered to be strong and is an important parameter of the model besides the…

Strongly Correlated Electrons · Physics 2009-11-07 V. A. Moskalenko , P. Entel , M. Marinaro , D. F. Digor

We investigate the existence of end points in the dispersion of Holstein polarons in various dimensions, using the Momentum Average approximation which has proved to be very accurate for this model. An end point separates momenta for which…

Strongly Correlated Electrons · Physics 2015-05-19 Glen L. Goodvin , Mona Berciu

Strong electron-phonon interactions in cuprates and other high-temperature superconductors have gathered support over the last decade in a large number of experiments. Here I briefly introduce the Froehlich-Coulomb multi-polaron model of…

Superconductivity · Physics 2015-06-24 A. S. Alexandrov

Two hydrogen-rich materials, H$_3$S and LaH$_{10}$, synthesized at megabar pressures, have revolutionized the field of condensed matter physics providing the first glimpse to the solution of the hundred-year-old problem of room temperature…

A strong-coupling expansion is applied to the anharmonic Holstein model and to the Holstein-Hubbard model through fourth order in the hopping matrix element. Mean-field theory is then employed to determine transition temperatures of the…

Condensed Matter · Physics 2009-10-28 J. K. Freericks , G. D. Mahan

Recent work on an electron-phonon model in two-dimensions is reviewed and some new results are presented. We utilize both Quantum Monte Carlo simulations and Migdal-Eliashberg theory. The type of electron-ion coupling considered is on-site.…

Superconductivity · Physics 2021-01-29 F. Marsiglio

We numerically and analytically calculate the properties of the bipolaron in an extended Hubbard Holstein model, which has a longer range electron-phonon coupling like the Fr\" ohlich model. In the strong coupling regime, the effective mass…

Strongly Correlated Electrons · Physics 2009-11-07 J. Bonca , S. A. Trugman

The emergence of the bipolaronic phase and the formation of the heavy-electron state in the anharmonic Holstein model are investigated using the dynamical mean-field theory in combination with the exact diagonalization method. For a weak…

Strongly Correlated Electrons · Physics 2012-03-13 Takahiro Fuse , Yoshiaki Ono , Takashi Hotta

The work is devoted to obtaining the 1D bipolaron functional by Holstein method for the continuum approximation. We analyzed the effect of electron correlations associated with the direct dependence of the wave function of the electron…

Other Condensed Matter · Physics 2015-02-02 N. I. Kashirina , V. D. Lakhno

We consider a hypothetical bound state of two electrons even if we leave the binding mechanism unknown. The bound electron pairs should behave as bosons and we conclude that the paired electrons are 'apparently' in the highest energy states…

Superconductivity · Physics 2016-07-22 Yanghyun Byun

The effect of a solid-vacuum interface on the properties of a strongly coupled electron-phonon system is analyzed using dynamical mean-field theory to solve the Holstein model in a semi-infinite cubic lattice. Polaron formation is found to…

Strongly Correlated Electrons · Physics 2015-05-13 Reza Nourafkan , Massimo Capone , Nasser Nafari

Bose-Fermi systems such as mixtures of electrons with excitons or exciton-polaritons are extensively discussed as candidates to host a variety of intriguing phenomena, including polaron formation, drag effects, supersolidity, and…

Mesoscale and Nanoscale Physics · Physics 2023-08-09 Andrey S. Plyashechnik , Alexey A. Sokolik , Nina S. Voronova , Yurii E. Lozovik

We use a recently developed formalism (combining an adiabatic expansion and dynamical mean-field theory) to obtain expressions for isotope effects on electronic properties in correlated systems. As an example we calculate the isotope effect…

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

We study the finite-temperature transport of electrons coupled to anharmonic local phonons. Our focus is on the high-temperature incoherent regime, where controlled calculations are possible both for weak and strong electron--phonon…

Strongly Correlated Electrons · Physics 2021-10-22 Attila Szabó , S. A. Parameswaran , Sarang Gopalakrishnan

Boson-Fermion models of superconductivity are getting attention as they are able to explain some of the high temperature superconductor's properties. Here we report on the condensation energy of a 3D non-interacting mixture of paired…

Superconductivity · Physics 2025-03-04 I. Chávez , P. Salas , J. J. Valencia , M. A. Solís

The ground state and finite temperature properties of polarons are studied considering a two-site and a four-site Holstein model by exact diagonalization of the Hamiltonian. The kinetic energy, Drude weight, correlation functions involving…

Strongly Correlated Electrons · Physics 2009-11-13 A. N. Das , S. Sil

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

Light-mass bipolarons in off-diagonally coupled electron-phonon systems provide a potential route to bipolaronic high-Tc superconductivity. While there has been numerical progress in the physically relevant limit of slow phonons, more…

Superconductivity · Physics 2023-08-28 Martin Grundner , Tizian Blatz , John Sous , Ulrich Schollwöck , Sebastian Paeckel

The phonon spectral function of the one-dimensional Holstein model is obtained within weak and strong-coupling approximations based on analytical self-energy calculations. The characteristic excitations found in the limit of small…

Strongly Correlated Electrons · Physics 2007-05-23 J Loos , M Hohenadler , A Alvermann , H Fehske
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