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Spectral distribution functions of electron-phonon interaction $\alpha^2F(\omega )$ obtained by ab initio linear--response calculations are used to describe various superconducting and transport properties in a number of elemental metals…

Condensed Matter · Physics 2009-10-28 S. Y. Savrasov , D. Y. Savrasov

We consider models of quasi-1-d, planar atomic wires consisting of several, laterally coupled rows of atoms, with mutually non-interacting electrons. This electronic wire system is coupled to phonons, corresponding, e.g., to some substrate.…

Mesoscale and Nanoscale Physics · Physics 2011-12-23 Christian Bartsch , Jochen Gemmer

We study one-electron tunneling through atomic-scale one-dimensional wires in the presence of coherent electron-phonon (e-ph) coupling. We use a full quantum model for the e-ph interaction within the wire with open boundary conditions. We…

Condensed Matter · Physics 2009-11-07 H. Ness , A. J. Fisher

We describe theoretically the acoustoconductance (AC) of quantum contacts. One characteristic of a contact which distinguishes it from a long, uniform wire is a strong, energy-dependent transmission probability. This has several…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 M. P. Blencowe , A. Y. Shik

A simple bulk model of electron-phonon coupling in metals has been surprisingly successful in explaining experiments on metal films that actually involve surface- or other low-dimensional phonons. However, by an exact application of this…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 S. -X. Qu , A. N. Cleland , M. R. Geller

The theory of Raman scattering by the electron--phonon coupled system in metals and heavily doped semiconductors is developed taking into account the Coulomb screening and the electron--phonon deformation interaction. The Boltzmann equation…

Materials Science · Physics 2009-11-10 L. Falkovsky

A rate equation formalism is used to determine the effect of electron-phonon coupling on the conductance of a molecule. Interplay between the phonon-induced renormalization of the density of states on the quantum dot and the phonon-induced…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 A. Mitra , I. Aleiner , A. J. Millis

The mechanisms for strong electron-phonon coupling predicted for hydrogen-rich alloys with high superconducting critical temperature ($T_c$) are examined within the Migdal-Eliashberg theory. Analysis of the functional derivative of $T_c$…

Superconductivity · Physics 2017-09-28 K. Tanaka , J. S. Tse , H. Liu

We investigate the effect of tuning the phonon energy on the correlation effects in models of electron-phonon interactions using DMFT. In the regime where itinerant electrons, instantaneous electron-phonon driven correlations and static…

Strongly Correlated Electrons · Physics 2015-05-13 J. P. Hague , N. d'Ambrumenil

The effect of electron-phonon coupling on the current noise in a molecular junction is investigated within a simple model. The model comprises a 1-level bridge representing a molecular level that connects between two free electron…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Michael Galperin , Abraham Nitzan , Mark A. Ratner

Electron and phonon correlations in systems of one-dimensional electrons coupled to phonons are studied at low temperatures by emphasizing on the effect of electron-phonon backward scattering. It is found that the $2k_F$-wave components of…

Strongly Correlated Electrons · Physics 2009-11-13 Leiming Chen

In this chapter we review the essentials of conventional electron-phonon superconductivity, as provided through the Migdal-Eliashberg formalism. Signatures of the electron-phonon interaction, as they appear in conventional superconductors,…

Superconductivity · Physics 2007-05-23 F. Marsiglio , J. P. Carbotte

Using exact diagonalzation techniques, we study a model of interacting electrons and phonons. The spectral width of the phonons is found to be reduced as the Coulomb interaction U is increased. For a system with two modes per site, we find…

Strongly Correlated Electrons · Physics 2009-10-31 J. E. Han , O. Gunnarsson

The elastic properties of solids are described in close analogy with General Relativity, by locally gauging the translational group of space-time. Electron interactions with the crystal lattice are thus generated by enforcing full gauge…

Mathematical Physics · Physics 2015-06-16 C. A. Dartora , G. G. Cabrera

The conductance through a molecular device including electron-electron and electron-phonon interactions is calculated using the Numerical Renormalization Group method. At low temperatures and weak electron-phonon coupling the properties of…

Strongly Correlated Electrons · Physics 2007-05-23 P. S. Cornaglia , H. Ness , D. R. Grempel

The polaron features due to electron-phonon interactions with different coupling ranges are investigated by adopting a variational approach. The ground-state energy, the spectral weight, the average kinetic energy, the mean number of…

Strongly Correlated Electrons · Physics 2007-05-23 C. A. Perroni , V. Cataudella , G. De Filippis , V. Marigliano Ramaglia

We calculate the conductance through strongly correlated T-shaped molecular or quantum dot systems under the influence of phonons. The system is modelled by the extended Anderson-Holstein Hamiltonian. The finite-U mean-field slave boson…

Mesoscale and Nanoscale Physics · Physics 2021-12-22 P. Florków , S. Lipiński

The linear transport properties of a model molecular transistor with electron-electron and electron-phonon interactions were investigated analytically and numerically. The model takes into account phonon modulation of the electronic energy…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 P. S. Cornaglia , D. R. Grempel , H. Ness

We theoretically investigate the transport properties of a molecule embedded in one arm of a mesoscopic Aharonov-Bohm interferometer. Due to the presence of phonons the molecule level position ($\epsilon_d$) and the electron-electron…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 Jong Soo Lim , Rosa Lopez , Gloria Platero , Pascal Simon

The influence of electron--electron interaction on two terminal DC conductance of one--dimensional quantum wires is studied. A cancelation between the effect of the electron--electron interaction on the current and on the external electric…

Condensed Matter · Physics 2009-10-28 Yuval Oreg , Alexander M. Finkel'stein
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