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The optical absorption of a many (continuum) polaron gas is derived in the framework of a variational approach at zero temperature and weak or intermediate electron-phonon coupling strength. We derive a compact formula for the optical…

Strongly Correlated Electrons · Physics 2009-10-31 J. Tempere , J. T. Devreese

The normal state conductivity of a system of interacting large polarons is calculated within the Random Phase approximation and some numerical results are presented. The behaviour of the optical absorption as a function of the charge…

Materials Science · Physics 2007-05-23 V. Cataudella , G. De Filippis , G. Iadonisi

Optical conductivity of an interacting polaron gas is calculated within an extended random phase approximation which takes into account mixing of collective excitations of the electron gas with LO phonons. This mixing is important for the…

Strongly Correlated Electrons · Physics 2019-12-09 S. N. Klimin , J. Tempere , J. T. Devreese , C. Franchini , G. Kresse

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 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

Anisotropic electron-phonon interaction is shown to lead to the anisotropic polaron effect. The resulting anisotropy of the polaron band is an exponential function of the electron-phonon coupling and might be as big as $10^3$. This also…

Strongly Correlated Electrons · Physics 2009-10-31 P E Kornilovitch

The optical conductivity of a polaronic charge carrier in the intermediate and strong-coupling regimes is calculated for a tight-binding electron using exact diagonalization. Two different simple models of the electron-phonon coupling are…

Condensed Matter · Physics 2007-05-23 M. Capone , W. Stephan

A comprehensive picture of polaron and bipolaron physics is essential to understand the optical absorption spectrum in many materials with electron-phonon interactions. In particular, the finite-temperature properties are of interest since…

Strongly Correlated Electrons · Physics 2022-10-27 David Jansen , Janez Bonča , Fabian Heidrich-Meisner

We present a theoretical description of the coupling between longitudinal optical phonons and collective excitations of a two-dimensional electron gas. By diagonalizing the Hamiltonian of the system, including Coulomb electron-electron and…

Mesoscale and Nanoscale Physics · Physics 2020-02-21 Sofia Ribeiro , Angela Vasanelli , Yanko Todorov , Carlo Sirtori

The properties of an electron in a typical solid are modified by the interaction with the crystal ions, leading to the formation of a quasiparticle: the polaron. Such polarons are often described using the Fr\"ohlich Hamiltonian, which…

Superconductivity · Physics 2021-05-12 Matthew Houtput , Jacques Tempere

The polaron optical conductivity is derived within the strong-coupling expansion, which is asymptotically exact in the strong-coupling limit. The polaron optical conductivity band is provided by the multiphonon optical transitions. The…

Strongly Correlated Electrons · Physics 2014-02-26 S. N. Klimin , J. T. Devreese

Recently there has been paid much attention to phenomena caused by local anharmonic vibrations of the guest ions encapsulated in polyhedral cages of materials such as pyrochlore oxides, filled skutterdites and clathrates. We theoretically…

Materials Science · Physics 2015-05-13 Hideki Matsumoto , Tatsuya Mori , Kei Iwamoto , Shohei Goshima , Syunsuke Kushibiki , Naoki Toyota

We derive the exact solution for the optical conductivity $\sigma(\omega)$ of one hole in the Holstein-t-J model in the framework of dynamical mean-field theory (DMFT). We investigate the magnetic and phonon features associated with polaron…

Strongly Correlated Electrons · Physics 2008-02-07 E. Cappelluti , S. Ciuchi , S. Fratini

Including the effect of lattice anharmonicity on electron-phonon interactions has recently garnered attention due to its role as a necessary and significant component in explaining various phenomena, including superconductivity, optical…

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 show how coupling to an Einstein phonon $\omega_E$ affects the absorption peaks seen in the optical conductivity of graphene under a magnetic field $B$. The energies and widths of the various lines are shifted, and additional peaks arise…

Mesoscale and Nanoscale Physics · Physics 2015-06-04 Adam Pound , J. P. Carbotte , E. J. Nicol

We present exact results for the optical response in the one-dimensional Holstein model. In particular, by means of a refined kernel polynomial method, we calculate the ac and dc electrical conductivities at finite temperatures for a wide…

Strongly Correlated Electrons · Physics 2007-05-23 G. Schubert , G. Wellein , A. Weiße , A. Alvermann , H. 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

Using the Kubo linear response formalism, we study the effects of intrinsic graphene optical and surface polar phonons (SPPs) on the optical conductivity of doped graphene. We find that inelastic electron-phonon scattering contributes…

Mesoscale and Nanoscale Physics · Physics 2013-01-22 Benedikt Scharf , Vasili Perebeinos , Jaroslav Fabian , Phaedon Avouris

The description of an impurity atom in a Bose-Einstein condensate can be cast in the form of Frohlich's polaron Hamiltonian, where the Bogoliubov excitations play the role of the phonons. An expression for the corresponding polaronic…

Quantum Gases · Physics 2014-03-26 J. Tempere , W. Casteels , M. K. Oberthaler , E. Timmermans , J. T. Devreese
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