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A simple bulk model of electron-phonon coupling in metals has been surprisingly successful in explaining experiments on metal films that actually involve surface- or other low-dimensional phonons. However, by an exact application of this…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 S. -X. Qu , A. N. Cleland , M. R. Geller

The evolution of the properties of a finite density electronic system as the electron-phonon coupling is increased are investigated in the Holstein model using the Dynamical Mean-Field Theory (DMFT). We compare the spinless fermion case, in…

Strongly Correlated Electrons · Physics 2025-12-12 M. Capone , P. Carta , S. Ciuchi

The interplay of electron-electron and electron-phonon interactions is studied analytically in the Kondo regime. A Holstein electron-phonon coupling is shown to produce a weakening of the gate voltage dependence of the Kondo temperature and…

Strongly Correlated Electrons · Physics 2007-05-23 C. A. Balseiro , P. S. Cornaglia , D. R. Grempel

The all-temperature magnon (ATM) theory [J. Phys. Condens. Matter 21, 336003/1-14, 2009] has been used to analyze the temperature dependence of magnetization as well as the internal energy components of a mono-domain ferromagnetic solid.…

Materials Science · Physics 2023-06-30 Sambhu N. Datta

We study equilibrium and nonequilibrium properties of electron-phonon systems described by the Hubbard-Holstein model using the dynamical mean-field theory. In equilibrium, we benchmark the results for impurity solvers based on the…

Strongly Correlated Electrons · Physics 2019-01-16 Sharareh Sayyad , Rok Zitko , Hugo U. R. Strand , Philipp Werner , Denis Golez

We generalize the family of approximate momentum average methods to formulate a numerically exact, convergent hierarchy of equations whose solution provides an efficient algorithm to compute the Green's function of a particle dressed by…

Strongly Correlated Electrons · Physics 2021-08-05 Matthew R. Carbone , David R. Reichman , John Sous

Based on the canonical Lang-Firsov transformation of the Hamiltonian we develop a very efficient quantum Monte Carlo algorithm for the Holstein model with one electron. Separation of the fermionic degrees of freedom by a reweighting of the…

Strongly Correlated Electrons · Physics 2007-05-23 Martin Hohenadler , Hans Gerd Evertz , Wolfgang von der Linden

A new variational technique is developed to investigate the polaronic features of the Holstein Molecular Crystal Model. It is based on a linear superposition of Bloch states that describe large and small polaron wave functions. It is shown…

Materials Science · Physics 2009-10-31 V. Cataudella , G. De Filippis , G. Iadonisi

The two-dimensional many-body Holstein-Hubbard model in the T=0 normal state is examined within the framework of the self-consistent coupling of charge fluctuation correlations to the vibrational ones. The parameters of our model are the…

Strongly Correlated Electrons · Physics 2009-10-31 T. Hakioglu , M. Ye. Zhuravlev

We study quenches of the interaction and electron-phonon coupling parameter in the Hubbard-Holstein model, using nonequilibrium dynamical mean field theory. The calculations are based on a generalized Lang-Firsov scheme for time-dependent…

Strongly Correlated Electrons · Physics 2013-10-11 Philipp Werner , Martin Eckstein

The Hubbard-Holstein model is one of the simplest to incorporate both electron-electron and electron-phonon interactions. In one dimension at half filling the Holstein electron-phonon coupling promotes onsite pairs of electrons and a…

Strongly Correlated Electrons · Physics 2009-11-11 R. P. Hardikar , R. T. Clay

We study a class of polaron-type Hamiltonians with sufficiently regular form factor in the interaction term. We investigate the strong-coupling limit of the model, and prove suitable bounds on the ground state energy as a function of the…

Mathematical Physics · Physics 2021-12-07 Krzysztof Myśliwy , Robert Seiringer

We study angular momentum of phonons in a magnetic crystal. In the presence of a spin-phonon interaction, we obtain a nonzero angular momentum of phonons, which is an odd function of magnetization. At zero temperature, phonon has a…

Mesoscale and Nanoscale Physics · Physics 2014-03-03 Lifa Zhang , Qian Niu

We consider models of heavy fermions in the strong coupling or local moment limit and include phonon degrees of freedom on the conduction electrons. Due to the large mass or low coherence temperature of the heavy fermion state, it is shown…

Strongly Correlated Electrons · Physics 2010-03-02 M. Raczkowski , P. Zhang , F. F. Assaad , T. Pruschke , M. Jarrell

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…

Chemical Physics · Physics 2025-10-24 Haimi Nguyen , Arkajit Mandal , Ankit Mahajan , David R. Reichman

We present results on the dynamical correlation functions of the particle-hole symmetric Holstein-Hubbard model at zero temperature, calculated using the dynamical mean field theory which is solved by the numerical renormalization group…

Strongly Correlated Electrons · Physics 2009-11-10 W. Koller , D. Meyer , A. C. Hewson

The electron-phonon coupling in ultrafast heating systems is studied within the framework of Boltzmann transport equation (BTE) with coupled electron and phonon transport. A discrete unified gas kinetic scheme is developed to solve the BTE,…

Mesoscale and Nanoscale Physics · Physics 2023-08-25 Chuang Zhang , Rulei Guo , Meng Lian , Junichiro Shiomi

The polaron features for long-range electron-phonon interaction are investigated by extending a variational approach previously proposed for the study of systems with local coupling. The ground-state spectral weight, the average kinetic…

Strongly Correlated Electrons · Physics 2009-11-10 C. A. Perroni , V. Cataudella , G. De Filippis

We investigate the effect of electronic correlations on the coupling of electrons to Holstein phonons in the one-band Hubbard model. We calculate the static electron-phonon vertex within linear response of Kotliar-Ruckenstein slave-bosons…

Superconductivity · Physics 2007-05-23 Erik Koch , Roland Zeyher

We study the one-dimensional Holstein model with spin-1/2 electrons at half-filling. Ground state properties are calculated for long chains with great accuracy using the density matrix renormalization group method and extrapolated to the…

Condensed Matter · Physics 2009-10-31 Eric Jeckelmann , Chunli Zhang , Steven R. White
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