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A unified approach is used to study vibrational properties of periodic systems with first-principles methods and including anharmonic effects. Our approach provides a theoretical basis for the determination of phonon-dependent quantities at…

Materials Science · Physics 2014-06-12 Bartomeu Monserrat , N. D. Drummond , R. J. Needs

Dynamical mean-field theory computations of the electron self energy of the Hubbard-Holstein model as a function of electron-phonon and electron-electron interactions are analyzed to gain insight into the dependence of electron-phonon…

Strongly Correlated Electrons · Physics 2025-05-14 Jennifer Coulter , Andrew J. Millis

Large-radius excitons in polar crystals are considered. It is shown that translation invariant description of excitons interacting with a phonon field leads to a nonzero contribution of phonons into the exciton ground state energy only in…

Mesoscale and Nanoscale Physics · Physics 2021-06-24 Victor D. Lakhno

A variant of coupled-cluster theory is described here, wherein the degrees of freedom are fluctuations of fragments between internally correlated states. The effects of intra-fragment correlation on the inter-fragment interaction are…

Chemical Physics · Physics 2019-05-24 Yuhong Liu , Anthony D. Dutoi

The phonon spectral function of the one-dimensional Holstein model is obtained within weak and strong-coupling approximations based on analytical self-energy calculations. The characteristic excitations found in the limit of small…

Strongly Correlated Electrons · Physics 2007-05-23 J Loos , M Hohenadler , A Alvermann , H Fehske

An exact diagonalization technique is used to investigate the low-lying excited polaron states in the Holstein model for the infinite one-dimensional lattice. For moderate values of the adiabatic ratio, a new and comprehensive picture,…

Condensed Matter · Physics 2009-11-07 Osor S. Barisic

We apply the Merrifield variational method to the Holstein molecular crystal model in D dimensions to compute non-adiabatic polaron band energies and Franck-Condon factors at general crystal momenta. We analyze these observable properties…

Materials Science · Physics 2016-09-28 David W. Brown , Aldo H. Romero , Katja Lindenberg

We employ quasiparticle path integral molecular dynamics to study how the excitonic properties of model semiconductors are altered by electron-phonon coupling. We describe ways within a path integral representation of the system to evaluate…

Materials Science · Physics 2022-09-28 Yoonjae Park , David T. Limmer

We study the coherent dynamics of a Holstein polaron in strong electric fields. A detailed analytical and numerical analysis shows that even for small hopping constant and weak electron-phonon interaction, polaron states can become…

Condensed Matter · Physics 2009-11-07 Wei Zhang , Alexander O. Govorov , Sergio E. Ulloa

We investigate electron-phonon coupling in many-electron systems using dynamical mean-field theory in combination with the numerical renormalization group. This non-perturbative method reveals significant precursor effects to the gap…

Strongly Correlated Electrons · Physics 2009-11-07 D. Meyer , A. C. Hewson , R. Bulla

Bound electron-hole pairs in semiconductors known as excitons are the subject of intense research due to their potential for optoelectronic devices and applications, especially in the realm of two-dimensional materials. While the properties…

Mesoscale and Nanoscale Physics · Physics 2026-04-27 Peter A. Noordman , Lucas Maisel Licerán , Henk T. C. Stoof

We present a general theory for semiconductor polarons in the framework of the Froehlich interaction between electrons and phonons. The latter is investigated using non-commuting phonon creation/annihilation operators associated with a…

Other Condensed Matter · Physics 2012-02-09 D. Obreschkow , F. Michelini , S. Dalessi , E. Kapon , M. -A. Dupertuis

We study the tunneling dynamics of dopant-induced hole polarons which are self-localized by electron-phonon coupling in a two-dimensional antiferro- magnet. Our treatment is based on a path integral formulation of the adia- batic…

Superconductivity · Physics 2009-04-27 K. Yonemitsu , J. Zhong , H. -B. Schuttler

A dynamical generalisation of the nonlocal coherent-potential approximation is derived based upon the functional integral approach to the interacting electron problem. The free energy is proven to be variational with respect to the…

Strongly Correlated Electrons · Physics 2014-11-25 D. A. Rowlands , Yu-Zhong Zhang

We performed an extensive numerical analysis of the Holstein model. Combining variational Lanczos diagonalisation, density matrix renormalisation group, kernel polynomial expansion, and cluster perturbation theory techniques we solved for…

Strongly Correlated Electrons · Physics 2015-06-25 H. Fehske , S. A. Trugman

We consider a polaron model where molecular \emph{rotations} are important. Here, the usual hopping between neighboring sites is affected directly by the electron-phonon interaction via a {\em twist-dependent} hopping amplitude. This model…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Wei Zhang , Alexander O. Govorov , Sergio E. Ulloa

We propose a numerical method which embeds the variational non-Gaussian wavefunction approach within exact diagonalization, allowing for efficient treatment of correlated systems with both electron-electron and electron-phonon interactions.…

Strongly Correlated Electrons · Physics 2020-11-24 Yao Wang , Ilya Esterlis , Tao Shi , J. Ignacio Cirac , Eugene Demler

A comprehensive picture of polaron and bipolaron physics is essential to understand the optical absorption spectrum in many materials with electron-phonon interactions. In particular, the finite-temperature properties are of interest since…

Strongly Correlated Electrons · Physics 2022-10-27 David Jansen , Janez Bonča , Fabian Heidrich-Meisner

Electron-phonon coupling plays a central role in the transport properties and photophysics of organic crystals. Successful models describing charge- and energy-transport in these systems routinely include these effects. Most models for…

Chemical Physics · Physics 2020-10-28 Steven E. Strong , Nicholas J. Hestand

The concept of \textit{optical} exciton - a photo-excited bound electron-hole pair within a crystal - is routinely used to interpret and model a wealth of excited-state phenomena in semiconductors. Beside originating sub-band gap signatures…

Materials Science · Physics 2022-09-21 Fulvio Paleari , Andrea Marini
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