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We utilize an exact variational numerical procedure to calculate the ground state properties of a polaron in the presence of a Rashba-like spin orbit interaction. Our results corroborate with previous work performed with the Momentum…

Strongly Correlated Electrons · Physics 2011-07-11 Zhou Li , L. Covaci , M. Berciu , D. Baillie , F. Marsiglio

The main quasi-particle characteristics of the one-dimensional polaron are estimated within and beyond the most general Gaussian approximation at arbitrary electron-phonon coupling. We have derived explicitly the ground-state energy and the…

Condensed Matter · Physics 2007-05-23 G. Ganbold

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

Electrons commonly couple through Fr\"ohlich interactions with longitudinal optical phonons to form polarons. However, trions possess a finite angular momentum and should therefore couple instead to rotational optical phonons. This creates…

We present a detailed and self-contained theoretical study of polarons in two-dimensional (2D) polar materials, which extends the classical macroscopic theory of Fr\"ohlich polarons to the 2D case. The theory is fully determined by…

Mesoscale and Nanoscale Physics · Physics 2025-07-16 A. Kudlis , V. Shahnazaryan , I. V. Tokatly

The properties of the polaron and bipolaron are explored in the 1D Jahn-Teller model with dynamical quantum phonons. The ground-state properties of the polaron and bipolaron are computed using a recently developed variational method.…

Strongly Correlated Electrons · Physics 2009-11-07 S. El Shawish , J. Bonca , Li-Chung Ku , S. A. Trugman

Using the momentum average approximation we study the importance of adding higher-than-linear terms in the electron-phonon coupling on the properties of single polarons described by a generalized Holstein model. For medium and strong linear…

Strongly Correlated Electrons · Physics 2013-06-13 C. P. J. Adolphs , M. Berciu

We include the treatment of quadrupolar fields beyond the Fr\"ohlich interaction in the first-principles electron-phonon vertex in semiconductors. Such quadrupolar fields induce long-range interactions that have to be taken into account for…

We consider the confined Fr\"ohlich polaron and establish an asymptotic series for the low-energy eigenvalues in negative powers of the coupling constant. The coefficients of the series are derived through a two-fold perturbation approach,…

Mathematical Physics · Physics 2025-02-26 Morris Brooks , David Mitrouskas

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

The physics of ferromagnetic doped manganites, such as \chem{La_{1-x}Ca_xMnO_3} with $x\approx0.2$--0.4, is reviewed. The concept of double exchange is discussed within the general framework of itinerant electron magnetism. The new feature…

Strongly Correlated Electrons · Physics 2015-06-24 D. M. Edwards

The polaron concept captures physical situations involving an itinerant quantum particle (excitation) that interacts strongly with bosonic degrees of freedom and becomes heavily boson-dressed. While the Gerlach-L\"{o}wen theorem rules out…

Quantum Physics · Physics 2020-04-08 Vladimir M. Stojanovic

We consider the dependence of the MgB_2 superconducting critical temperature on the pressure. Our model exploits the influence of the large polarons on the band structure of the layered MgB_2 superconductor. Namely, the hole Pekar-Froehlich…

Superconductivity · Physics 2009-11-07 V. A. Ivanov , M. A. Smondyrev , J. T. Devreese

The ground-state energy, the effective mass and the number of virtual phonons of the optical large polaron confined strictly in one dimension have been estimated by using the generalized Gaussian approximation. The leading-order terms take…

Condensed Matter · Physics 2007-05-23 G. Ganbold

It is widely accepted that phonon-mediated high-temperature superconductivity is impossible at ambient pressure, because of the very large effective masses of polarons/bipolarons at strong electron-phonon coupling. Here we challenge this…

Superconductivity · Physics 2019-04-29 John Sous , Monodeep Chakraborty , Roman V. Krems , Mona Berciu

We present a detailed study on the influence of strong electron-phonon coupling to the photoemission spectra of lead. Representing the strong-coupling regime of superconductivity, the spectra of lead show characteristic features that…

Superconductivity · Physics 2009-11-10 F. Reinert , B. Eltner , G. Nicolay , D. Ehm , S. Schmidt , S. Huefner

We study theoretically a fundamental issue in solids: the evolution of the optical spectra of polaron as the electron-phonon coupling increases. By comparing the exact results obtained by diagrammatic Monte Carlo method and the data got…

Strongly Correlated Electrons · Physics 2014-03-18 G. De Filippis , V. Cataudella , A. S. Mishchenko , N. Nagaosa

We introduce a variational wave-function to study the polaron formation when the electronic transfer integral depends on the relative displacement between nearest-neighbor sites giving rise to a non-local electron-phonon coupling with…

Strongly Correlated Electrons · Physics 2009-11-10 C. A. Perroni , E. Piegari , M. Capone , V. Cataudella

We consider the quasi-classical limit of Nelson-type regularized polaron models describing a particle interacting with a quantized bosonic field. We break translation-invariance by adding an attractive external potential decaying at…

Analysis of PDEs · Mathematics 2025-02-05 Marco Falconi , Alessandro Olgiati , Nicolas Rougerie

For systems of $N$ charged fermions (e.g. electrons) interacting with longitudinal optical quantized lattice vibrations of a polar crystal we derive upper and lower bounds on the minimal energy within the model of H. Fr\"ohlich. The only…

Mathematical Physics · Physics 2015-05-13 Marcel Griesemer , Jacob Schach Møller