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Positional polymorphism in solids refers to locally disordered unit cells that, on average, reproduce the high-symmetry structures observed in diffraction experiments. Standard theories of electron-phonon interactions fail to describe the…

The coherent dynamics of a Holstein polaron in strong electric fields is considered under different regimes. Using analytical and numerical analysis, we show that even for small hopping constant and weak electron-phonon interaction, the…

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

The paper reports on a study of electron-phonon interaction within a limited nanosized region. We invoked the modified Fr\"{o}hlich's Hamiltonian to calculate the electron self-energy, as well as the elastic and inelastic scattering cross…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 K. V. Reich

A simple variational displacement phonon basis, obtained through the modified Lang-Firsov (MLF) transformation, is proposed to study the Holstein model.This phonon basis contains only one variational parameter, but capable of describing…

Condensed Matter · Physics 2007-05-23 Jayita Chatterjee , A. N. Das , P. Choudhury

We investigate a spinless fermion system on a one dimensional lattice interacting locally with the optical modes of a quantized phonon field: the Holstein model. The system is shown to have a disordered ground state, for small enough…

chao-dyn · Physics 2008-02-26 G. Benfatto , G. Gallavotti , L. Lebowitz

The optical conductivity of charge carriers coupled to quantum phonons is studied in the framework of the one-dimensional spinless Holstein model. For one electron, variational diagonalisation yields exact results in the thermodynamic…

Strongly Correlated Electrons · Physics 2007-06-13 Jan Loos , Martin Hohenadler , Andreas Alvermann , Holger Fehske

We investigate the properties of composite polaron containing the effects of electron-phonon coupling and interaction between impurity and electron-hole pair. A model of a two-dimensional electron gas occupying the surface of…

Mesoscale and Nanoscale Physics · Physics 2023-08-22 Chen-Huan Wu

We discuss an integrable model describing one-dimensional electrons interacting with two-dimensional anharmonic phonons. In the low temperature limit it is possible to decouple phonons and consider one-dimensional excitations separately.…

Strongly Correlated Electrons · Physics 2009-10-31 Catherine Pépin , Alexei M. Tsvelik

We apply weak-coupling perturbation theory and strong-coupling perturbation theory to the Holstein molecular crystal model in order to elucidate the effects of anisotropy on polaron properties in D dimensions. The ground state energy is…

Strongly Correlated Electrons · Physics 2009-10-31 Aldo H. Romero , David W. Brown , Katja Lindenberg

We investigate the effect of electron-phonon interaction on the phononic properties in the one-dimensional half-filled Holstein model of spinless fermions. By means of determinantal Quantum Monte Carlo simulation we show that the behavior…

Strongly Correlated Electrons · Physics 2009-11-11 C. E. Creffield , G. Sangiovanni , M. Capone

We investigate two equivalent capacitively and tunnel coupled quantum dots, each coupled to its own pair of leads. Local Holstein type electron-phonon coupling at the dots is assumed. To study many-body effects we use the finite-U…

Mesoscale and Nanoscale Physics · Physics 2023-11-20 D. Krychowski , S. Lipiński

We investigate quantum corrections to the conductivity due to the interference of electron-electron (electron-phonon) scattering and elastic electron scattering in weakly disordered conductors. The electron-electron interaction results in a…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 A. Sergeev , M. Yu. Reizer , V. Mitin

We provide a comprehensive theoretical framework to study how crystal dislocations influence the functional properties of materials, based on the idea of quantized dislocation, namely a "dislon". In contrast to previous work on dislons…

Materials Science · Physics 2018-03-14 Mingda Li , Yoichiro Tsurimaki , Qingping Meng , Nina Andrejevic , Yimei Zhu , Gerald D. Mahan , Gang Chen

We present a theoretical study of superconductivity of polarons in the Hubbard-Holstein model. A residual kinematic interaction proportional to the square of the polaron hopping energy between polarons and phonons provides a pairing field…

Superconductivity · Physics 2009-11-11 R. Ramakumar , A. N. Das

Recent experiments on metallic nanohybrids have revealed unusually strong electron-phonon effects emerging from nanoscale interfaces, despite the weak coupling character of the constituent bulk materials. Motivated by these observations, we…

Strongly Correlated Electrons · Physics 2026-04-08 Debraj Bose , Saheli Sarkar , Pinaki Majumdar

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

We consider the formation and stability of the vibronic polaron arising in a degenerate or nearly degenerate electronic system coupled to an appropriate vibrational mode. We define the electron-phonon coupling as a mixing of the electronic…

Materials Science · Physics 2007-05-23 Mladen Georgiev

We use the dynamical mean field theory to develop a systematic and computationally tractable method for studying electron-phonon interactions in systems with arbitrary electronic correlations. The method is formulated as an adiabatic…

Strongly Correlated Electrons · Physics 2009-10-31 A. Deppeler , A. J. Millis

The electronic self-energy is studied for a two dimensional electron gas coupled to a spin-orbit Rashba field and interacting with dispersionless phonons. For the case of a momentum independent electron-phonon coupling (Holstein model) we…

Strongly Correlated Electrons · Physics 2009-11-13 E. Cappelluti , C. Grimaldi , F. Marsiglio

The hopping of an electron, interacting with many ions of a lattice via the long-range (Fr\"{o}hlich) electron-phonon interaction and optical absorption are studied at zero temperature. Ions are assumed to be isotropic three-dimensional…

Quantum Physics · Physics 2007-05-23 B. Ya. Yavidov
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