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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…

Strongly Correlated Electrons · Physics 2009-10-31 Chunli Zhang , Eric Jeckelmann , Steven R. White

The wavefunction method provides us with a useful tool to describe electron correlations in solids at the ground state. In this paper we review the recent development of the momentum-dependent local ansatz wavefunction (MLA). It is…

Strongly Correlated Electrons · Physics 2015-06-22 Yoshiro Kakehashi , Sumal Chandra , Derwyn Rowlands , M. Atiqur R. Patoary

We present a dynamical mean-field study of the nonperturbative electronic mechanisms, which may lead to significant enhancements of the electron-phonon coupling in correlated electron systems. Analyzing the effects of electronic…

Strongly Correlated Electrons · Physics 2026-03-31 Emin Moghadas , Matthias Reitner , Tim Wehling , Giorgio Sangiovanni , Sergio Ciuchi , Alessandro Toschi

We present numerically exact solutions to the problem of a single electron interacting through a long range interaction with optical phonons in two and three dimensions. Comparisons are made with results for the standard Holstein model, and…

Strongly Correlated Electrons · Physics 2015-11-17 Carl J. Chandler , F. Marsiglio

The effect of Holstein electron-phonon interaction on a Hubbard model close to a Mott-Hubbard transition at half-filling is investigated by means of Dynamical Mean-Field Theory. We observe a reduction of the effective mass that we interpret…

Strongly Correlated Electrons · Physics 2007-08-07 G. Sangiovanni , M. Capone , C. Castellani , M. Grilli

We show how the coupling between the phonons and electrons in a strongly correlated metal can result in phonon frequencies which have a non-monotonic temperature dependence. Dynamical mean-field theory is used to study the Hubbard-Holstein…

Strongly Correlated Electrons · Physics 2009-10-31 J. Merino , Ross H. McKenzie

Within the time-dependent Gutzwiller approximation (TDGA) applied to Holstein- and SSH-Hubbard models we study the influence of electron correlations on the phonon self-energy. For the local Holstein coupling we find that the phonon…

Strongly Correlated Electrons · Physics 2012-05-22 E. von Oelsen , A. Di Ciolo , J. Lorenzana , G. Seibold , M. Grilli

We develop a theory of momentum-resolved electron energy-loss spectra in the scanning transmission microscope (STEM-EELS) that captures the effects of coupled phonon and magnon excitations within a unified formalism, and apply it to…

Understanding coupled electron-phonon systems is one of the fundamental issues in strongly correlated systems. In this work, we aim to extend the notion of mixed-state phases to the realm of coupled electron/spinphonon systems.…

Strongly Correlated Electrons · Physics 2025-03-11 Brett Min , Yuxuan Zhang , Yuxuan Guo , Dvira Segal , Yuto Ashida

A series of weak-coupling perturbation theories which include the lowest-order vertex corrections are applied to the attractive Holstein model in infinite dimensions. The approximations are chosen to reproduce the iterated perturbation…

Superconductivity · Physics 2009-10-31 J. K. Freericks , V. Zlatic' , Woonki Chung , Mark Jarrell

We use the continuous-time interaction expansion (CT-INT) quantum Monte Carlo method to calculate the phonon spectral function of the one-dimensional Holstein-Hubbard model at half-filling. Our results are consistent with a soft-mode…

Strongly Correlated Electrons · Physics 2015-07-01 Manuel Weber , Fakher F. Assaad , Martin Hohenadler

A general form of a many-body Hamiltonian is considered, which includes an interacting fermionic sub-system coupled to non-interacting extended fermionic and bosonic systems. We show that the exact dynamics of the extended bosonic system…

Strongly Correlated Electrons · Physics 2015-06-22 Eli Y. Wilner , Haobin Wang , Michael Thoss , Eran Rabani

Recently [1], we proposed a new way to engineer a flexible acoustomechanical coupling between the center-of-mass motion of an isolated micromagnet and one of its internal acoustic phonons by using a magnon as a passive mediator. In our…

Mesoscale and Nanoscale Physics · Physics 2020-03-11 C. Gonzalez-Ballestero , D. Hümmer , J. Gieseler , O. Romero-Isart

We use a recently developed formalism (combining an adiabatic expansion and dynamical mean-field theory) to obtain expressions for isotope effects on electronic properties in correlated systems. As an example we calculate the isotope effect…

Strongly Correlated Electrons · Physics 2009-11-07 A. Deppeler , A. J. Millis

We study the isotope effects arising from the coupling of correlated electrons with dispersionless phonons by considering the Hubbard-Holstein model at half-filling within the dynamical mean-field theory. In particular we calculate the…

Strongly Correlated Electrons · Physics 2007-08-08 P. Paci , M. Capone , E. Cappelluti , S. Ciuchi , C. Grimaldi

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…

Superconductivity · Physics 2020-08-28 Philip M. Dee , Jennifer Coulter , Kevin Kleiner , Steven Johnston

We use the Momentum Average approximation together with perturbative approaches, in the appropriate limits, to study the single polaron physics on a perovskite lattice inspired by BaBiO3. We investigate electron-phonon coupling of the…

Strongly Correlated Electrons · Physics 2021-01-04 Yau-Chuen Yam , Mirko M. Moeller , George A. Sawatzky , Mona Berciu

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…

Strongly Correlated Electrons · Physics 2011-09-12 C. N. Veenstra , G. L. Goodvin , M. Berciu , A. Damascelli

In cond-mat/0306131 Huang {\em et al.} reported for the first time a numerical evidence for the predominance of small phonon momenta in the electron-phonon coupling induced by electronic correlation. They report also an upturn of the…

Strongly Correlated Electrons · Physics 2007-05-23 B. Cerruti , E. Cappelluti , L. Pietronero

We provide a theoretical framework for the prediction and interpretation of momentum dependent phonon spectra due to coherent inelastic scattering of electrons. We complete the approach with first principles lattice dynamics using periodic…

Materials Science · Physics 2019-04-08 R. J. Nicholls , F. S. Hage , D. G. McCulloch , Q. M. Ramasse , K. Refson , J. R. Yates