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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 direct simulation of the dynamics of second sound in graphitic materials remains a challenging task due to lack of methodology for solving the phonon Boltzmann equation in such a stiff hydrodynamic regime. In this work, we aim to tackle…

Computational Physics · Physics 2019-10-09 Xiao-Ping Luo , Yang-Yu Guo , Mo-Ran Wang , Hong-Liang Yi

We show that the electron-phonon coupling in graphene, in contrast with the non-relativistic two-dimensional electron gas, leads to shifts in the phonon frequencies that are non-trivial functions of the electronic density. These shifts can…

Strongly Correlated Electrons · Physics 2013-05-29 A. H. Castro Neto , Francisco Guinea

Using a computationally inexpensive frozen phonon approach we have developed a technique which can be used to screen large unit cell materials and systems for enhanced superconducting critical temperatures. The method requires only density…

Superconductivity · Physics 2024-05-07 Oliver A. Dicks , Kateryna Foyevtsova , Ilya Elfimov , Rohit Prasankumar , George Sawatzky

We obtain exact, simple and very compact expressions for the linearization coefficients of the products of orthogonal polynomials; both the conventional Clebsch-Gordan-type and the modified version. The expressions are general depending…

Classical Analysis and ODEs · Mathematics 2023-06-09 A. D. Alhaidari

We study quenches of the interaction and electron-phonon coupling parameter in the Hubbard-Holstein model, using nonequilibrium dynamical mean field theory. The calculations are based on a generalized Lang-Firsov scheme for time-dependent…

Strongly Correlated Electrons · Physics 2013-10-11 Philipp Werner , Martin Eckstein

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

An optimized phonon approach for the numerical diagonalization of interacting electron-phonon systems is proposed. The variational method is based on an expansion in coherent states that leads to a dramatic truncation in the phonon space.…

Strongly Correlated Electrons · Physics 2009-11-10 V. Cataudella , G. De Filippis , F. Martone , C. A. Perroni

We investigate the dynamical effects of electron-phonon coupling (EPC) on the superconducting properties of two-dimensional (2D) systems, calculating the Eliashberg function in terms of dynamically renormalized phonons. By studying…

Superconductivity · Physics 2025-04-29 Juraj Krsnik , Dino Novko , Osor Slaven Barišić

The nonequilibrium total dielectric function lends itself to a simple and general method for calculating the inelastic collision term in the electron Boltzmann equation for scattering from a coupled mode system. Useful applications include…

Condensed Matter · Physics 2007-05-23 B. A. Sanborn

We present a comprehensive theoretical treatment of the effect of electron-phonon interactions in molecular transistors, including both quantal and classical limits and we study both equilibrated and out of equilibrium phonons. We present…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 A. Mitra , I. Aleiner , A. J. Millis

We propose a microscopic theory of interaction of long wave molecular phonons with electrons in fullerides in the presence of disorder. Phonon relaxation rate and frequency renormalization are discussed. Finite electronic bandwidth reduces…

Superconductivity · Physics 2009-10-30 V. L. Aksenov , V. V. Kabanov

Density Functional Theory (DFT) calculations not only allow to predict the vibrational and optical properties of solids but also to understand and disentangle the mechanisms playing a key role in the generation of coherent optical phonons.…

Materials Science · Physics 2025-10-09 A. Levchuk , R. Busselez , G. Vaudel , P. Ruello , V. Juvé , B. Arnaud

The spectrum of electron-phonon complexes in a monolayer graphene is investigated in the presence of a perpendicular quantizing magnetic field. Despite the small electron-phonon coupling, usual perturbation theory is inapplicable for…

Mesoscale and Nanoscale Physics · Physics 2013-01-21 J. Zhu , S. M. Badalyan , F. Peeters

We have studied the lattice dynamics, electron-phonon coupling, and superconducting properties of $\alpha$-MoB$_2$, as a function of applied pressure, within the framework of density functional perturbation theory using a mixed-basis…

Superconductivity · Physics 2023-10-31 Marco-Antonio Carmona-Galván , Rolf Heid , Omar De la Peña-Seaman

The coupling between electrons and phonons plays important roles in physics, chemistry and biology. However, the accurate calculation of the electron-phonon coupling constants is computationally expensive as it involves solving the…

Materials Science · Physics 2016-08-31 B. J. Powell , Mark R. Pederson , Tunna Baruah

Phonon blockade is a purely quantum phenomenon, analogous to Coulomb and photon blockades, in which a single phonon in an anharmonic mechanical resonator can impede the excitation of a second phonon. We propose an experimental method to…

Quantum Physics · Physics 2016-07-01 Xin Wang , Adam Miranowicz , Hong-Rong Li , Franco Nori

We propose phonon spectroscopy by electric measurements of the low-temperature conductance of coupled-quantum dots, specifically employing dephasing of the quantum electronic transport by the phonons. The setup we consider consists of a…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 A. Ueda , O. Entin-Wohlman , M. Eto , A. Aharony

We propose a continuum representation of the Dynamical Mean Field Theory, in which we were able to derive an exact overlap between the Dynamical Mean Field Theory and band structure methods, such as the Density Functional Theory. The…

Strongly Correlated Electrons · Physics 2015-11-11 Kristjan Haule

We investigate the spinless Anderson-Holstein model routinely employed to describe the basic physics of phonon-assisted tunneling in molecular devices. Our focus is on small to intermediate electron-phonon coupling; we complement a recent…

Strongly Correlated Electrons · Physics 2017-11-30 A. Khedri , T. A. Costi , V. Meden