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Polaron and bipolaron formation in the Holstein-Hubbard model with harmonic confinement potential, relevant to quantum dot structures, is investigated in one to three dimensions by means of unbiased quantum Monte Carlo simulations. The…

Strongly Correlated Electrons · Physics 2007-06-13 Martin Hohenadler , Holger Fehske

In this work we demonstrate that accurate ground state wave functions may be constructed for polarons in a fully ab initio setting across the wide range of couplings associated with both the large and small polaron limits. We present a…

Strongly Correlated Electrons · Physics 2024-05-15 Paul J. Robinson , Joonho Lee , Ankit Mahajan , David R. Reichman

The binding of a system of $N$ polarons subject to a constant magnetic field of strength $B$ is investigated within the Pekar-Tomasevich approximation. In this approximation the energy of $N$ polarons is described in terms of a…

Mathematical Physics · Physics 2013-01-28 Ioannis Anapolitanos , Marcel Griesemer

Lead halide perovskite semiconductors are soft, polar, materials. The strong driving force for polaron formation (the dielectric electron-phonon coupling) is balanced by the light band effective-masses, leading to a strongly-interacting…

Materials Science · Physics 2017-11-15 Jarvist Moore Frost

We use a non-perturbative renormalization group approach to develop a unified picture of the Bose polaron problem, where a mobile impurity is strongly interacting with a surrounding Bose-Einstein condensate (BEC). A detailed theoretical…

Quantum Gases · Physics 2017-07-12 Fabian Grusdt , Richard Schmidt , Yulia E. Shchadilova , Eugene A. Demler

We present a novel approach to electron-lattice interaction beyond the linear-coupling regime. Based on the solution of a Holstein-Peierls-type model, we derive explicit analytical expressions for the eigenvalue spectrum of the Hamiltonian,…

Materials Science · Physics 2018-12-13 Pablo García Risueño , Dmitrii Nabok , Qiang Fu , Claudia Draxl

We develop an exact computational method based on numerical X-propagators for solving polaron models with arbitrary nonlinear couplings of local vibration modes to the electron density and magnitude of the hopping amplitude. Our approach…

A novel type of exciton-phonon bound state -- interlayer polaron -- in a double-layer two-dimensional semiconductor with transition metal dichalcogenides as an example, is predicted. In these systems the interaction of the interlayer…

Materials Science · Physics 2020-10-06 M. A. Semina , M. M. Glazov , E. Ya. Sherman

The Landau-Pekar equations describe the dynamics of a strongly coupled polaron. Here we provide a class of initial data for which the associated effective Hamiltonian has a uniform spectral gap for all times. For such initial data, this…

Mathematical Physics · Physics 2021-03-02 Dario Feliciangeli , Simone Rademacher , Robert Seiringer

A single electron in one dimensional lattice is considered within the framework of extended Holstein model at strong-coupling limit. Disordered density-displacement type electron-phonon interaction is proposed. Basic parameters of small…

Strongly Correlated Electrons · Physics 2014-08-21 Bakhrom Yavidov

In this work, the ultra-strong photon-to-magnon coupling is demonstrated for on-chip multilayered superconductor/ferromagnet/insulator hybrid thin film structures reaching the coupling strength above 6 GHz, the coupling ratio about 0.6, the…

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 study thermal equilibrium of classical pointlike counterions confined between symmetrically charged walls at distance $d$. At very large couplings when the counterion system is in its crystal phase, a harmonic expansion of particle…

Soft Condensed Matter · Physics 2019-01-21 L. Samaj , M. Trulsson , E. Trizac

We generalize the momentum average approximation to study the properties of single polarons in models with boson affected hopping, where the fermion-boson scattering depends explicitly on both the fermion's and the boson's momentum. As a…

Materials Science · Physics 2015-05-20 Mona Berciu , Holger Fehske

This article presents a systematic theoretical enquiry concerning the conceptual foundations and the nature of phonon-mediated electron-electron interactions. Starting from the fundamental many-body Hamiltonian, we propose a simple scheme…

Materials Science · Physics 2020-09-08 R. Starke , G. A. H. Schober

Strong coupling between two quanta of different excitations leads to the formation of a hybridized state which paves a way for exploiting new degrees of freedom to control phenomena with high efficiency and precision. A magnon polaron is…

We study two identical fermions, or two hard-core bosons, in an infinite chain and coupled to phonons by interactions that modulate their hopping as described by the Peierls/Su-Schrieffer-Heeger (SSH) model. We show that exchange of phonons…

Strongly Correlated Electrons · Physics 2018-01-03 J. Sous , M. Chakraborty , C. P. J. Adolphs , R. V. Krems , M. Berciu

Bose polarons, quasi-particles composed of mobile impurities surrounded by cold Bose gas, can experience strong interactions mediated by the many-body environment and form bipolaron bound states. Here we present a detailed study of heavy…

Quantum Gases · Physics 2021-09-02 Martin Will , Gregory E. Astrakharchik , Michael Fleischhauer

In this work, we present a theoretical study of polaron states in a double quantum dot system. We present realistic calculations which combine 8 band \kp model, configuration interaction approach and collective modes method. We investigate…

Mesoscale and Nanoscale Physics · Physics 2017-06-21 Paweł Karwat , Krzysztof Gawarecki , Paweł Machnikowski

We prove the Fr\"{o}hlich polaron has effective mass at least $\frac{\alpha^4}{(\log \alpha)^6}$ when the coupling strength $\alpha$ is large. This nearly matches the quartic growth rate $C_*\alpha^4$ predicted by Landau and Pekar in 1948…

Mathematical Physics · Physics 2023-08-16 Mark Sellke
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