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We show that the usual expression for evaluating electron-phonon coupling and the phonon linewidth in 2D metals with a cylindrical Fermi surface cannot be applied near the wave vector corresponding to the Kohn singularity. Instead, the…

Superconductivity · Physics 2009-11-13 O. V. Dolgov , O. K. Andersen , I. I. Mazin

The transition probability for a one dimensional tunneling electron coupled to acoustical phonons is calculated, with the Feynman path-integral method for zero temperature. We considered a realistic electron phonon interaction (deformation…

Condensed Matter · Physics 2009-10-31 E. Pazy , B. Laikhtman

Density functional theory is generalized to incorporate electron-phonon coupling. A Kohn-Sham equation yielding the electronic density $n_U(\mathbf{r})$, a conditional probability density depending parametrically on the phonon normal mode…

Materials Science · Physics 2019-04-25 Ryan Requist , C. R. Proetto , E. K. U. Gross

We present an accurate and efficient formulation for the calculation of phonons in real-space Kohn-Sham density functional theory. Specifically, employing a local exchange-correlation functional, norm-conserving pseudopotential in the…

Chemical Physics · Physics 2023-03-30 Abhiraj Sharma , Phanish Suryanarayana

We develop the theory of the non-adiabatic phonon self-energy arising from coupling to electrons with finite linewidths using the spectral representation of Green's functions. Our formalism naturally includes the contribution from the…

Materials Science · Physics 2025-09-18 Cheol-Hwan Park

The electronic and vibrational properties and electron-phonon couplings of one-dimensional materials will be key to many prospective applications in nanotechnology. Dimensionality strongly affects these properties and has to be correctly…

Materials Science · Physics 2023-10-09 Norma Rivano , Nicola Marzari , Thibault Sohier

Acoustic phonons in piezoelectric materials strongly couple to electrons through a macroscopic electric field. We show that this coupling leads to a momentum-dependent divergence of the Fan-Migdal electron linewidth. We then develop a…

Materials Science · Physics 2024-09-12 Jae-Mo Lihm , Samuel Poncé , Cheol-Hwan Park

State-of-the-art model Hamiltonians, like Fr\"ohlich's, or density functional theory approaches to electron-phonon interaction suffer from a severe overscreening error. This is due to the incorrect treatment of the screening of the ionic…

Materials Science · Physics 2023-11-17 Fulvio Paleari , Andrea Marini

Phonon properties of realistic materials are routinely calculated within the Density Functional Perturbation Theory\,(DFPT). This is a semi--classical approach where the atoms are assumed to oscillate along classical trajectories immersed…

Materials Science · Physics 2024-07-24 Andrea Marini

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

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…

Non-adiabatic effects arising from electron-phonon interactions are often neglected within the Born-Oppenheimer (BO) approximation, which assumes that electronic states adjust instantaneously to nuclear motion. The exact factorization (EF)…

Using the momentum average approximation we study the importance of adding higher-than-linear terms in the electron-phonon coupling on the properties of single polarons described by a generalized Holstein model. For medium and strong linear…

Strongly Correlated Electrons · Physics 2013-06-13 C. P. J. Adolphs , M. Berciu

Ultrafast spectroscopies can access the dynamics of electrons and nuclei at short timescales, shedding light on nonequilibrium phenomena in materials. However, development of accurate calculations to interpret these experiments has lagged…

Materials Science · Physics 2021-05-05 Xiao Tong , Marco Bernardi

State-of-the-art approaches to calculate the electron-phonon and the phonon-electron self-energy are based on a mean-field approximation for the interacting electronic system. This approach introduces an overscreening error which results in…

Materials Science · Physics 2023-11-17 Fulvio Paleari , Andrea Marini

We analyze the effect of electron-phonon coupling on the full counting statistics of a molecular junction beyond the lowest order perturbation theory. Our approach allows to take into account analytically the feedback between the…

Mesoscale and Nanoscale Physics · Physics 2010-10-14 D. F. Urban , R. Avriller , A. Levy Yeyati

The mobility of carriers, as limited by their scattering with phonons, can now routinely be obtained from first-principles electron-phonon coupling calculations. However, so far, most computations have relied on some form of simplification…

The effect of phonons on a nonlinear optical response of a quantum dot-cavity system in quantum strong coupling regime can be accounted for by a fully analytical treatment, provided that the exciton-phonon dynamics is much faster than the…

Mesoscale and Nanoscale Physics · Physics 2023-06-30 L. S. Sirkina , E. A. Muljarov

Electron-phonon coupling in graphene is extensively modeled and simulated from first principles. We find that using an accurate model for the polarizations of the acoustic phonon modes is crucial to obtain correct numerical results. The…

We investigate an exact nonequilibrium solution of a two-site electron-phonon model, where an infrared-active phonon that is nonlinearly coupled to the electrons is driven by a laser field. The time-resolved electronic spectrum shows…

Strongly Correlated Electrons · Physics 2017-05-10 M. A. Sentef
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