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Phonons are universal language for solid state theory. Effective phonon theory (self-consistent harmonic approximation) have been extensively used to access the weakly nonlinear effect in solid materials, which are standard content in…

Statistical Mechanics · Physics 2013-01-15 Yong Zhang , Shunda Chen , Jiao Wang , Hong Zhao

A variational solution of the coupled electron-phonon Boltzmann equations is used to calculate the phonon drag contribution to the thermopower in a 1-D system. A simple formula is derived for the temperature dependence of the phonon drag in…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 V. W. Scarola , G. D. Mahan

Using for unperturbed electron and phonon Hamiltonians a representation by the Jacobi matrices a one-dimensional model of the electron-phonon interaction is constructed. In frame of the model the polaron and scattering spectral bands are…

Other Condensed Matter · Physics 2007-05-23 Yu. A. Kuperin , B. S. Pavlov , R. V. Romanov , G. E. Rudin

We propose a new optimized phonon approach for the numerical diagonalization of interacting electron-phonon systems combining density-matrix and Lanczos algorithms. We demonstrate the reliablity of this approach by calculating the phase…

Strongly Correlated Electrons · Physics 2007-05-23 A. Weisse , H. Fehske , G. Wellein , A. R. Bishop

This work establishes the algebraic structure of the Kohn-Sham equations to be solved in a density formulation of electron and phonon dynamics, including the superconducting order parameter. A Bogoliubov transform is required to diagonalize…

Superconductivity · Physics 2018-03-21 Chung-Yu Wang , T. Müller , Sangeeta Sharma , E. K. U. Gross , J. K. Dewhurst

The electron-phonon interaction plays a crucial role in many fields of physics and chemistry. Nevertheless, its actual calculation by means of modern many-body perturbation theory is weakened by the use of model Hamiltonians that are based…

Materials Science · Physics 2015-05-15 Andrea Marini , Samuel Poncé , Xavier Gonze

A high order series expansion is employed to study the thermodynamical properties of a S=1/2 chain coupled to dispersionless phonons. The results are obtained without truncating the phonon subspace since the series expansion is performed…

Strongly Correlated Electrons · Physics 2007-05-23 Alexander Bühler , Götz S. Uhrig , Jaan Oitmaa

Understanding of the energy exchange between electrons and phonons in metals is important for micro- and nano-manufacturing and system design. The electron-phonon (e-ph) coupling constant is to describe such exchange strength, yet its…

Mesoscale and Nanoscale Physics · Physics 2021-03-17 Wuli Miao , Moran Wang

Strong electron-electron interactions are known to significantly modify the electron-phonon coupling relative to the predictions of density functional theory, but this effect is challenging to calculate with realistic theories of strongly…

Strongly Correlated Electrons · Physics 2025-07-21 David J. Abramovitch , Jennifer Coulter , Sophie Beck , Andrew Millis

We present a perturbative method for calculating phonon properties of an insulator in the presence of a finite electric field. The starting point is a variational total-energy functional with a field-coupling term that represents the effect…

Materials Science · Physics 2009-12-17 Xinjie Wang , David Vanderbilt

We present a computational protocol, based on density matrix perturbation theory, to obtain non-adiabatic, frequency-dependent electron-phonon self-energies for molecules and solids. Our approach enables the evaluation of electron-phonon…

Materials Science · Physics 2023-05-09 Han Yang , Marco Govoni , Arpan Kundu , Giulia Galli

We address the effect of band filling on the effective electron mass $m^*$ and the superconducting critical temperature $T_c$ in a electron-phonon system. We compare the vertex corrected theory with the non-crossing approximation of the…

Superconductivity · Physics 2009-11-10 E. Cappelluti , S. Ciuchi , C. Grimaldi , L. Pietronero

We use the Variational Exact Diagonalization to investigate the single polaron properties for four different dual models, combining a short-range off-diagonal (Peierls) plus a longer-range diagonal (Holstein or breathing-mode) coupling.…

Strongly Correlated Electrons · Physics 2022-08-31 Monodeep Chakraborty , Sankeerth S. Narayan , Vigneshwaran R. , Mona Berciu

We demonstrate that electron-phonon interaction in quantum dots embedded in one-dimensional systems leads to pronounced, non-Markovian decoherence of optical transitions. The experiments we present focus on the lineshape of…

Mesoscale and Nanoscale Physics · Physics 2012-09-18 Christophe Galland , Alexander Högele , Hakan E. Türeci , Ataç Imamoğlu

We investigate the Fano-type line shape of the Ba mode of Y_{1-x}Ca_xBa_2Cu_3O_{6+y} films observed in Raman spectra with A_1g symmetry. The line shape is described with an extended Fano formula that allows us to obtain the bare phonon…

Superconductivity · Physics 2015-06-25 A. Bock , S. Ostertun , K. -O. Subke

This paper presents an analytical formulation for correcting the diffraction associated to the second harmonic of an acoustic wave, more compact than that usually used. This new formulation, resulting from an approximation of the correction…

Classical Physics · Physics 2009-04-08 Laurent Alliès , D. Kourtiche , M. Nadi

This paper is about the use of a novel, exact functional quantization method as applied to two commonly studied actions in theoretical physics. The functional method in question has its roots in the exact renormalisation group flow…

High Energy Physics - Theory · Physics 2012-12-20 Dylan Tanner

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

We present a dynamical mean-field study of the nonperturbative electronic mechanisms, which may lead to significant enhancements of the electron-phonon coupling in correlated electron systems. Analyzing the effects of electronic…

Strongly Correlated Electrons · Physics 2026-03-31 Emin Moghadas , Matthias Reitner , Tim Wehling , Giorgio Sangiovanni , Sergio Ciuchi , Alessandro Toschi

We use determinant quantum Monte Carlo to study the single particle properties of quasiparticles and phonons in a variant of the two-dimensional Holstein model that includes an additional non-linear electron-phonon (e-ph) interaction. We…

Superconductivity · Physics 2015-08-12 Shaozhi Li , E. A. Nowadnick , S. Johnston