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We investigate the electron-phonon coupling in CH3NH3PbX3 lead halide perovskites through the observation of Landau levels and high-order excitons at weak magnetic fields, where the cyclotron energy is significantly smaller than the…

We elucidate the nature of the electron-phonon interaction in the archetypal hybrid perovskite CH$_3$NH$_3$PbI$_3$ using ab initio many-body calculations and an exactly solvable model. We demonstrate that electrons and holes near the band…

Materials Science · Physics 2018-08-27 Martin Schlipf , Samuel Poncé , Feliciano Giustino

Polaron binding energy and effective mass are calculated for semiconductors with wurtzite crystalline structure from the first order electron-phonon corrections to the self-energy. A recently introduced Frohlich-like electron-phonon…

Materials Science · Physics 2019-08-17 M. E. Mora-Ramos , F. J. Rodriguez , L. Quiroga

We first show that, for problems dealing with trions, it is totally hopeless to use the standard many-body description in terms of electrons and holes and its associated Feynman diagrams. We then show how, by using the description of a…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 M. Combescot , O. Betbeder-Matibet , F. Dubin

In compound semiconductors and insulators, the polar electron-phonon coupling diverges at long range, known as the Fr\"ohlich interaction. Modern first-principles electron-phonon calculations treat the Fr\"ohlich interaction in a…

This article reviews recent theoretical developments in the ab initio study of polarons in materials. The polaron is an emergent quasiparticle that arises from the interaction between electrons and phonons in solids, and consists of an…

Materials Science · Physics 2025-12-09 Zhenbang Dai , Jon Lafuente-Bartolome , Feliciano Giustino

In the Reststrahlen region, between the transverse and longitudinal phonon frequencies, polar dielectric materials respond metallically to light and the resulting strong light-matter interactions can lead to the formation of hybrid…

Mesoscale and Nanoscale Physics · Physics 2022-01-27 Christopher R. Gubbin , Simone De Liberato

We present a many-body theory for exciton-trion-polaritons in doped two-dimensional materials. Exciton-trion-polaritons are robust coherent hybrid excitations involving excitons, trions, and photons. Signatures of these polaritons have been…

Mesoscale and Nanoscale Physics · Physics 2021-03-31 Farhan Rana , Okan Koksal , Minwoo Jung , Gennady Shvets , A. Nick Vamivakas , Christina Manolatou

We map the three-body problem in two dimensions onto one particle in a three dimensional potential treatable by a purposely-developed boundary-matching-matrix method. We evaluate binding energies of trions $X^{\pm}$, excitons bound by a…

Mesoscale and Nanoscale Physics · Physics 2015-06-22 Bogdan Ganchev , Neil Drummond , Igor Aleiner , Vladimir Fal'ko

The Holstein Hamiltonian was proposed half a century ago; since then, decades of research have come up empty handed in the pursuit of a closed-form solution. An exact solution to the two-site Holstein model is presented in this paper. The…

Strongly Correlated Electrons · Physics 2016-06-22 Amin Tayebi , Vladimir Zelevinsky

Three-particle complexes consisting of two holes in the completely filled zero electron Landau level and an excited electron in the unoccupied first Landau level are investigated in a quantum Hall insulator. The distinctive features of…

Strongly Correlated Electrons · Physics 2018-11-28 V. A. Kuznetsov , L. V. Kulik , M. D. Velikanov , A. S. Zhuravlev , A. V. Gorbunov , S. Schmult , I. V. Kukushkin

The elementary optical excitations of a two-dimensional electron system strongly coupled to a microcavity are trion-polaritons. Using a variational approach, we demonstrate that the competition between Coulomb interaction and light-matter…

Mesoscale and Nanoscale Physics · Physics 2016-03-15 Ch. Grenier , C. Ciuti , A. Imamoglu

We study the bound states of a three-dimensional Holstein polaron near various kinds of single impurities, using the momentum average approximation. We show that the electron-phonon coupling is responsible for a strong renormalization of…

Strongly Correlated Electrons · Physics 2012-04-12 Hadi Ebrahimnejad , Mona Berciu

We revisit from a quantum-information perspective a classic problem of polaron theory in one dimension. In the context of the Holstein model we show that a simple analysis of quantum entanglement between excitonic and phononic degrees of…

Quantum Physics · Physics 2009-11-10 Yang Zhao , Paolo Zanardi , Guanhua Chen

Polarons, that is, charge carriers correlated with lattice deformations, are ubiquitous quasiparticles in semiconductors, and play an important role in electrical conductivity. To date most theoretical studies of so-called large polarons,…

In this paper we apply variational energy band theory to a form of the Holstein Hamiltonian in which the influence of lattice vibrations (optical phonons) on both local site energies (local coupling) and transfers of electronic excitations…

Condensed Matter · Physics 2009-10-28 Yang Zhao , David W. Brown , Katja Lindenberg

The Holstein Molecular Crystal Model is investigated by a strong coupling perturbative method which, unlike the standard Lang-Firsov approach, accounts for retardation effects due to the spreading of the polaron size. The effective mass is…

Superconductivity · Physics 2009-11-27 Marco Zoli

We present the first numerically exact study of self-trapped, a.k.a. soliton, states of electrons that form in materials with strong quadratic coupling to the phonon coordinates. Previous studies failed to observe predictions based on the…

Strongly Correlated Electrons · Physics 2024-10-08 Zhongjin Zhang , Anatoly Kuklov , Nikolay Prokof'ev , Boris Svistunov

We present a detailed numerical study of the one-dimensional Holstein model with a view to understanding the self-trapping process of electrons or excitons in crystals with short-range particle-lattice interactions. Applying a very…

Strongly Correlated Electrons · Physics 2009-10-30 G. Wellein , H. Fehske

We consider the quantum mechanical many-body problem of a single impurity particle immersed in a weakly interacting Bose gas. The impurity interacts with the bosons via a two-body potential. We study the Hamiltonian of this system in the…

Mathematical Physics · Physics 2021-03-02 Krzysztof Myśliwy , Robert Seiringer