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We simulate spectral functions for electron-phonon coupling in a filled band system - far from the asymptotic limit often assumed where the phonon energy is very small compared to the Fermi energy in a parabolic band and the Migdal theorem…

强关联电子 · 物理学 2011-09-12 C. N. Veenstra , G. L. Goodvin , M. Berciu , A. Damascelli

A new variational approach is proposed at zero temperature for a finite density of charge carriers in order to study ground state features of the Frohlich model including electron-electron and electron-phonon interactions. Within the…

强关联电子 · 物理学 2021-06-30 C. A. Perroni , G. De Filippis , V. Cataudella

Cluster perturbation theory in combination with the Lanczos method is used to compute the one-electron spectral function of the Holstein polaron in one and two dimensions. It is shown that the method allows reliable calculations using…

强关联电子 · 物理学 2007-06-13 Martin Hohenadler , Markus Aichhorn , Wolfgang von der Linden

The Migdal-Eliashberg theory (MET) describes electrons interacting with phonons in the adiabatic limit when the phonon Debye frequency is much smaller than the Fermi energy. A conventional belief is that MET holds even at strong coupling,…

强关联电子 · 物理学 2026-04-22 Andrey Chubukov , Ilya Esterlis , Artem Abanov , Nikolay Prokof'ev

We generalize the Momentum Average approximations MA$^{(0)}$ and MA$^{(1)}$ to study the effects of coupling to multiple optical phonons on the properties of a Holstein polaron. As for a single phonon mode, these approximations are…

超导电性 · 物理学 2008-11-06 Lucian Covaci , Mona Berciu

We show how to systematically improve the Momentum Average (MA)approximation for the Green's function of a Holstein polaron, bysystematically improving the accuracy of the self-energy diagrams in such a way that they can still all be summed…

强关联电子 · 物理学 2009-11-13 Mona Berciu , Glen L. Goodvin

The phonon spectral function of the one-dimensional Holstein model is obtained within weak and strong-coupling approximations based on analytical self-energy calculations. The characteristic excitations found in the limit of small…

强关联电子 · 物理学 2007-05-23 J Loos , M Hohenadler , A Alvermann , H Fehske

A dynamical mean-field theory of the small polaron problem is presented, which becomes exact in the limit of infinite dimensions. The ground state properties and the one-electron spectral function are obtained for a single electron…

凝聚态物理 · 物理学 2009-10-30 S. Ciuchi , F. de Pasquale , S. Fratini , D. Feinberg

It is widely believed that in an adiabatic limit a Fermi liquid state of an electron-phonon system described by Migdal-Eliashberg theory remains stable before a dressed phonon softens. Using Holstein model as a prototypical example and…

强关联电子 · 物理学 2026-04-22 Nikolay Prokof'ev , Ilya Esterlis , Artem Abanov , Andrey Chubukov

We investigate the low-energy properties of the Holstein polaron through calculation of the q-dependent phonon spectral function using an improved exact-diagonalization technique, defined over a variational Hilbert space. We perform a…

其他凝聚态物理 · 物理学 2010-09-28 Lev Vidmar , Janez Bonca , Stuart A. Trugman

The spectral weight functions and the optical conductivity of the Holstein model are studied on a one-dimensional six-site lattice with periodic boundary conditions for three different electron concentrations: a single electron, two…

强关联电子 · 物理学 2009-10-31 Chunli Zhang , Eric Jeckelmann , Steven R. White

An analytic theory for the spectral function for electrons coupled with phonons is formulated in the adiabatic limit. In the case when the chemical potential is large and negative $\mu \to -\infty$ the ground state does not have the…

强关联电子 · 物理学 2022-11-07 V. V. Kabanov

Determining the range of validity of Migdal's approximation for electron-phonon ($e$-ph) coupled systems is a long-standing problem. Many attempts to answer this question employ the Holstein Hamiltonian, where the electron density couples…

超导电性 · 物理学 2020-08-28 Philip M. Dee , Jennifer Coulter , Kevin Kleiner , Steven Johnston

Immersing a mobile impurity into a many-body quantum system represents a theoretically intriguing and experimentally effective way of probing its properties.In this work, we study the polaron spectral function in various environments,…

量子气体 · 物理学 2024-02-28 Ivan Amelio , Nathan Goldman

In this work, using two distinct semiclassical approaches, namely the mean-field Ehrenfest (MFE) method and the mapping approach to surface hopping (MASH), we investigate the spectral function of a single charge interacting with phonons on…

化学物理 · 物理学 2025-10-24 Haimi Nguyen , Arkajit Mandal , Ankit Mahajan , David R. Reichman

Photoemission and phonon spectroscopies have yielded widely varying estimates of the electron-phonon coupling constant \lambda\ on the surfaces of topological insulators, even for a particular material and technique. We connect the results…

介观与纳米尺度物理 · 物理学 2014-02-27 Colin Howard , M. El-Batanouny

We present a study of the one dimensional Su-Schrieffer-Heeger model Hamiltonian by a diagrammatic perturbative method in the weak electron-phonon coupling regime. Exact computation of both the charge carrier effective mass and the electron…

材料科学 · 物理学 2009-11-07 Marco Zoli

We generalize the momentum average (MA) approximation to study the properties of models with momentum-dependent electron-phonon coupling. As in the case of the application of the original MA to the Holstein model, the results are…

强关联电子 · 物理学 2009-11-13 Glen L. Goodvin , Mona Berciu

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…

强关联电子 · 物理学 2013-06-13 C. P. J. Adolphs , M. Berciu

Electron-phonon coupling, diagonal in a real space formulation, leads to polaron paradigm of smoothly varying properties. However, fundamental changes, namely the singular behavior of polarons, occur if non-diagonal pairing is involved into…

强关联电子 · 物理学 2020-06-11 E. I. Shneyder , S. V. Nikolaev , M. V. Zotova , R. A. Kaldin , S. G. Ovchinnikov
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