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The polaron model of H. Fr\"ohlich describes an electron coupled to the quantized longitudinal optical modes of a polar crystal. In the strong-coupling limit one expects that the phonon modes may be treated classically, which leads to a…

Mathematical Physics · Physics 2017-11-22 Marcel Griesemer

We study the spectrum of the Fr\"ohlich Hamiltonian for the polaron at fixed total momentum. We prove the existence of excited eigenvalues between the ground state energy and the essential spectrum at strong coupling. In fact, our main…

Mathematical Physics · Physics 2023-12-27 David Mitrouskas , Robert Seiringer

Following a resurgence of interest in dilute superconductivity in polar semiconductors, we perform a variational calculation to probe the existence of Fr{\"o}hlich bipolarons in these materials. Our solution is capable of interpolating…

Strongly Correlated Electrons · Physics 2021-11-25 L. Lin , P. B. Littlewood , A. Edelman

We investigate the ground state energy of an electron coupled to a photon field. First, we regard the self-energy of a free electron, which we describe by the Pauli-Fierz Hamiltonian. We show that, in the case of small values of the…

Mathematical Physics · Physics 2016-11-23 Christian Hainzl

We revise a previous result about the Fr\"ohlich dynamics in the strong coupling limit obtained in [Gri17]. In the latter it was shown that the Fr\"ohlich time evolution applied to the initial state $\varphi_0 \otimes \xi_\alpha$, where…

Mathematical Physics · Physics 2021-04-21 David Mitrouskas

We investigate the orbital effects of strong external magnetic field on the ground state properties of a two dimensional holstein polaron, employing variational approaches based on the exact diagonalization (VAED). From the ground state…

Strongly Correlated Electrons · Physics 2016-03-09 S. Pradhan , Monodeep Chakraborty , A. Taraphder

We investigate the polarons formed by immersing a spinor impurity in a ferromagnetic state of $F=1$ spinor Bose-Einstein condensate. The ground state energies and effective masses of the polarons are calculated in both weak-coupling regime…

Quantum Gases · Physics 2021-01-22 Xiao-Lu Yu , Boyang Liu

A new variational approach is proposed at zero temperature for a finite density of charge carriers in order to study ground state features of the Frohlich model including electron-electron and electron-phonon interactions. Within the…

Strongly Correlated Electrons · Physics 2021-06-30 C. A. Perroni , G. De Filippis , V. Cataudella

We consider the large polaron described by the Fr\"ohlich Hamiltonian and study its energy-momentum relation defined as the lowest possible energy as a function of the total momentum. Using a suitable family of trial states, we derive an…

Mathematical Physics · Physics 2023-09-19 David Mitrouskas , Krzysztof Myśliwy , Robert Seiringer

A large polaron is a quasiparticle that consists of a nearly free electron interacting with the phonons of a material, whose lattice parameters are much smaller than the polaron scale. The electron-phonon interaction also leads to an…

Superconductivity · Physics 2023-02-01 Matthew Houtput , Jacques Tempere

The polaron features for long-range electron-phonon interaction are investigated by extending a variational approach previously proposed for the study of systems with local coupling. The ground-state spectral weight, the average kinetic…

Strongly Correlated Electrons · Physics 2009-11-10 C. A. Perroni , V. Cataudella , G. De Filippis

We study the Hubbard-Holstein model using slave-boson mean-field and a variation al Lang-Firsov transformation. We identify weak and strong e-ph coupling solutions, whose stability depends both on the bare e-ph coupling and on the…

Strongly Correlated Electrons · Physics 2007-08-07 P. Barone , R. Raimondi , M. Capone , C. Castellani

We use the Momentum Average approximation (MA) to study the ground-state properties of strongly bound bipolarons in the double-well electron-phonon (el-ph) coupling model, which describes certain intercalated lattices where the linear term…

Strongly Correlated Electrons · Physics 2015-06-19 Clemens PJ Adolphs , Mona Berciu

We present recent advances in understanding of the ground and excited states of the electron-phonon coupled systems obtained by novel methods of Diagrammatic Monte Carlo and Stochastic Optimization, which enable the approximation-free…

Strongly Correlated Electrons · Physics 2015-05-13 A. S. Mishchenko , N. Nagaosa

Starting from recent advances in the first-principles modeling of polarons, variational polaron equations in the strong-coupling adiabatic approximation are formulated in Bloch space. In this framework, polaron formation energy as well as…

Materials Science · Physics 2022-06-09 Vasilii Vasilchenko , Andriy Zhugayevych , Xavier Gonze

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…

By applying variational method, the strong electron-surface optical(SO) phonon interaction and the weak electron-longitudinal optical (LO) phonon interaction are studied systematically in present paper. The formula of induced energy…

Materials Science · Physics 2007-05-23 Hua Xiukun

Strong coupling between light and matter occurs when the two interact strongly enough to form new hybrid modes called polaritons. Here we report on the strong coupling of both the electric and magnetic degrees of freedom to an ultrafast…

The one-dimensional Fr\"ohlich model describing the motion of a single electron interacting with optical phonons is a paradigmatic model of quantum many-body physics. We predict the existence of an arbitrarily large number of bound excited…

Mathematical Physics · Physics 2025-12-18 Jamie Taylor , Matija Čufar , David Mitrouskas , Robert Seiringer , Elke Pahl , Joachim Brand

In most cases, as the strength of electron-phonon coupling increases, the effective mass of polarons typically increases. However, in this paper, we uncover a fascinating phenomenon: the presence of light polarons even within the strong…

Strongly Correlated Electrons · Physics 2024-04-10 Chao Zhang