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The infinite-$U$ Anderson-Holstein impurity model is studied with a focus on the interplay between the strong electron correlation and the weak electron-phonon interaction. The slave boson method has been employed in combination with the…

Strongly Correlated Electrons · Physics 2009-11-10 Hyun C. Lee , Han-Yong Choi

We compute the transient dynamics of phonons in contact with high energy "hot" charge carriers in 12 polar and non-polar semiconductors, using a first-principles Boltzmann transport framework. For most materials, we find that the decay in…

Mesoscale and Nanoscale Physics · Physics 2017-10-03 Sridhar Sadasivam , Maria K. Y. Chan , Pierre Darancet

We study electron transport in nanojunctions in which an electron on a quantum dot or a molecule is interacting with an N-state local impurity, a harmonic ("Holstein") mode, or a two-state system ("spin"). These two models, the…

Mesoscale and Nanoscale Physics · Physics 2014-07-23 Lena Simine , Dvira Segal

Electron-electron thermalization and electron-phonon relaxation processes in laser-excited solids are often assumed to occur on different timescales. This is true for the majority of the conduction band electrons in a metal. However,…

Mesoscale and Nanoscale Physics · Physics 2019-06-05 Sebastian T. Weber , Baerbel Rethfeld

The eigenstate thermalization hypothesis (ETH) is a successful theory that provides sufficient criteria for ergodicity in quantum many-body systems. Most studies were carried out for Hamiltonians relevant for ultracold quantum gases and…

Strongly Correlated Electrons · Physics 2019-04-29 David Jansen , Jan Stolpp , Lev Vidmar , Fabian Heidrich-Meisner

This paper describes a simple and general method for deriving the inelastic collision term in the electron Boltzmann equation for scattering from a coupled electron-phonon system, and applies the method to the case of doped polar…

Condensed Matter · Physics 2016-08-31 B. A. Sanborn

An analytical approach, based on the unitary transformation method, has been developed to study the effect of quantum lattice fluctuations on the ground state of a model electron-phonon system. To study nonadiabatic case, the Green's…

Strongly Correlated Electrons · Physics 2009-11-07 Qin Wang , Hang Zheng

The Holstein model often serves as an archetype for electron-phonon interactions and polaron formation in solids. However, precise descriptions of the Holstein polaron are difficult when the phonon frequency is small and the electron-phonon…

Strongly Correlated Electrons · Physics 2026-03-10 Connor M. Walsh , Igor Boettcher , Frank Marsiglio

We analyze ultrafast tunneling experiments in which electron transport through a localized orbital is induced by a single cycle THz pulse. We include both electron-electron and electron-phonon interactions on the localized orbital using the…

Mesoscale and Nanoscale Physics · Physics 2020-09-16 Tao Shi , J. Ignacio Cirac , Eugene Demler

We compute the phonon dispersion, density of states, and the Gr\"uneisen parameters of bulk palladium in the combined density functional theory (DFT) and dynamical mean-field theory (DMFT). We find good agreement with experimental results…

Strongly Correlated Electrons · Physics 2020-02-20 W. H. Appelt , A. Östlin , I. Di Marco , I. Leonov , M. Sekania , D. Vollhardt , L. Chioncel

We investigate the scattering of an electron by phonons in a small structure between two one-dimensional tight-binding leads. This model mimics the quantum electron transport through atomic wires or molecular junctions coupled to metallic…

Strongly Correlated Electrons · Physics 2017-02-27 C. Brockt , E. Jeckelmann

We describe a variational method to solve the Holstein model for an electron coupled to dynamical, quantum phonons on an infinite lattice. The variational space can be systematically expanded to achieve high accuracy with modest…

Strongly Correlated Electrons · Physics 2009-10-31 J. Bonca , S. A. Trugman , I. Batistic

A nonperturbative dynamical coupling approach based on tight-binding molecular dynamics is used to evaluate the electron-ion (electron-phonon) coupling parameter in irradiated semiconductors as a function of the electronic temperature up to…

Materials Science · Physics 2023-10-25 Nikita Medvedev

Stochastic semiclassical gravity is a theory for the interaction of gravity with quantum matter fields which goes beyond the semiclassical limit. The theory predicts stochastic fluctuations of the classical gravitational field induced by…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Enric Verdaguer

We examine the interplay between electron correlations and phonons in an Anderson-Holstein impurity model with an Einstein phonon. When the phonons are slow compared to charge fluctuations (frequency $\omega_0 \ll U/2$, the onsite Coulomb…

Strongly Correlated Electrons · Physics 2025-07-08 Liam L. H. Lau , Andreas Gleis , Daniel Kaplan , Premala Chandra , Piers Coleman

Applying the path integral formalism we study the equilibrium thermodynamics of the phonon field both in the Holstein and in the Su-Schrieffer-Heeger models. The anharmonic cumulant series, dependent on the peculiar source currents of the…

Statistical Mechanics · Physics 2009-11-10 Marco Zoli

Computationally inexpensive approximations describing electron-phonon scattering in molecular-scale conductors are derived from the non-equilibrium Green's function method. The accuracy is demonstrated with a first principles calculation on…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Magnus Paulsson , Thomas Frederiksen , Mads Brandbyge

Electron spin decoherence caused by elastic spin-phonon processes is investigated comprehensively in a zero-dimensional environment. Specifically, a theoretical treatment is developed for the processes associated with the fluctuations in…

Other Condensed Matter · Physics 2009-11-11 Y. G. Semenov , K. W. Kim

We present a canonical formalism for computing quantum fluctuations of certain discrete degrees of freedom in systems governed by integrable partial differential equations with known Hamiltonian structure, provided these models are…

Quantum Gases · Physics 2026-04-15 Joanna Ruhl , Vanja Dunjko , Maxim Olshanii

We combine femtosecond electron diffuse scattering experiments and first-principles calculations of the coupled electron-phonon dynamics to provide a detailed momentum-resolved picture of the ultrafast lattice thermalization in a thin film…

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