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The theory of Raman scattering by the electron--phonon coupled system in metals and heavily doped semiconductors is developed taking into account the Coulomb screening and the electron--phonon deformation interaction. The Boltzmann equation…

Materials Science · Physics 2009-11-10 L. Falkovsky

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…

We study the one-dimensional Holstein model of spinless fermions interacting with dispersion-less phonons by using a recently developed projector-based renormalization method (PRM). At half-filling the system shows a metal-insulator…

Strongly Correlated Electrons · Physics 2007-05-23 S. Sykora , A. Huebsch , K. W. Becker

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 present the results of Quantum Monte Carlo calculations for a two dimensional frustrated Hubbard model coupled to bond phonons. The model is known to have a d-wave superconducting ground state in the limit of large phonon frequency for…

Strongly Correlated Electrons · Physics 2020-04-08 R. T. Clay , D. Roy

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

Thermodynamic properties of the square-lattice Holstein model of the electron-phonon problem with phonon frequencies small compared to the bare Fermi energy are obtained using Monte Carlo methods, a strong-coupling (bipolaronic) expansion,…

Strongly Correlated Electrons · Physics 2019-05-29 Ilya Esterlis , Steven Kivelson , Douglas Scalapino

Applying the path integral formalism we study the equilibrium thermodynamics of the phonon field both in the Holstein and in the Su-Schrieffer-Heeger models. The anharmonic cumulant series, dependent on the peculiar source currents of the…

Statistical Mechanics · Physics 2009-11-10 Marco Zoli

Most nonperturbative numerical studies of electron-phonon interactions focus on model Hamiltonians where the electrons interact with a phonon branch via a single type of microscopic mechanism. Two commonly explored couplings in this context…

Strongly Correlated Electrons · Physics 2024-12-25 Max Casebolt , Chunhan Feng , Richard T. Scalettar , Steven Johnston , G. G. Batrouni

The cross over from low to high carrier densities in a many-polaron system is studied in the framework of the one-dimensional spinless Holstein model, using unbiased numerical methods. Combining a novel quantum Monte Carlo approach and…

Strongly Correlated Electrons · Physics 2007-05-23 M. Hohenadler , D. Neuber , W. von der Linden , G. Wellein , J. Loos , H. Fehske

The electronic structure of condensed matter can be significantly affected by the electron-phonon interaction, leading to important phenomena such as electrical resistance, superconductivity or the formation of polarons. This interaction is…

The Falicov-Kimball model has been known to phase separate when the correlation strength is large and the temperature is low. We examine the stability of phase separation under the influence of an additional electron-phonon interaction that…

Strongly Correlated Electrons · Physics 2009-11-07 B. M. Letfulov , J. K. Freericks

The relaxation of electrons in quantum dots via phonon emission is hindered by the discrete nature of the dot levels (phonon bottleneck). In order to clarify the issue theoretically we consider a system of $N$ discrete fermionic states (dot…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 T. Stauber , R. Zimmermann , H. Castella

Finite-bias electron transport through single molecules generally induces nonequilibrium molecular vibrations (phonons). By a mapping to a Fokker-Planck equation, we obtain analytical scaling forms for the nonequilibrium phonon distribution…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Jens Koch , Matthias Semmelhack , Felix von Oppen , Abraham Nitzan

The full counting statistics of a molecular level weakly interacting with a local phonon mode is derived. We find an analytic formula that gives the behavior of arbitrary irreducible moments of the distribution upon phonon excitation. The…

Mesoscale and Nanoscale Physics · Physics 2009-07-27 R. Avriller , A. Levy Yeyati

We re-examine the Peierls insulator to Mott insulator transition scenario in the one-dimensional Holstein-Hubbard model where, at half-filling, electron-phonon and electron-electron interactions compete for establishing charge- and…

Strongly Correlated Electrons · Physics 2009-11-13 H. Fehske , G. Hager , J. Jeckelmann

The formation of charge-density-wave order in Dirac fermion systems via electron-phonon coupling represents a significant topic in condensed matter physics. In this work, we investigate this phenomenon within the Holstein model on the…

Strongly Correlated Electrons · Physics 2026-02-10 Guangchao Li , Lifei Zhang , Tianxing Ma , Qionglin Dai , Lufeng Zhang

We solve for the finite temperature collective mode dynamics in the Holstein-double exchange problem, using coupled Langevin equations for the phonon and spin variables. We present results in a strongly anharmonic regime, close to a…

Strongly Correlated Electrons · Physics 2020-03-30 Sauri Bhattacharyya , Sankha Subhra Bakshi , Saurabh Pradhan , Pinaki Majumdar

One of the challenges in many-body physics is determining the effects of phonons on strongly correlated electrons. The difficulty arises from strong correlations at differing energy scales -- for band metals, Migdal-Eliashberg theory…

Strongly Correlated Electrons · Physics 2021-10-08 R. D. Nesselrodt , J. K. Freericks

The one-dimensional (1D) $t$-$J$ Holstein model is studied by exact diagonalization of finite rings using a variational approximation for the phonon states. Due to renormalization effects induced by the phonons, for intermediate…

Condensed Matter · Physics 2009-10-28 Roland Fehrenbacher