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We analyze the ground-state properties of strongly-correlated electrons coupled with phonons by means of a generalized Gutzwiller wavefunction which includes phononic degrees of freedom. We study in detail the paramagnetic half-filled…

Strongly Correlated Electrons · Physics 2008-07-29 P. Barone , R. Raimondi , M. Capone , C. Castellani , M. Fabrizio

We describe a variational method to solve the Holstein model for an electron coupled to dynamical, quantum phonons on an infinite lattice. The variational space can be systematically expanded to achieve high accuracy with modest…

Strongly Correlated Electrons · Physics 2009-10-31 J. Bonca , S. A. Trugman , I. Batistic

We propose a numerical method which embeds the variational non-Gaussian wavefunction approach within exact diagonalization, allowing for efficient treatment of correlated systems with both electron-electron and electron-phonon interactions.…

Strongly Correlated Electrons · Physics 2020-11-24 Yao Wang , Ilya Esterlis , Tao Shi , J. Ignacio Cirac , Eugene Demler

We consider the Hubbard-Holstein model in the adiabatic limit to investigate the effects of electron-electron interactions on the electron-phonon coupling. To this aim we compute at any momentum and filling the static charge susceptibility…

Strongly Correlated Electrons · Physics 2009-11-13 A. Di Ciolo , J. Lorenzana , M. Grilli , G. Seibold

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 properties of a dilute electron gas, coupled to the lattice degrees of freedom, are studied and compared with the properties of an electron gas at half-filling, where spinless fermions with two orbitals per lattice site are considered.…

Strongly Correlated Electrons · Physics 2007-05-23 D. Schneider , K. -H. Höck , K. Ziegler

We introduce Gutzwiller-correlated wave functions for the variational investigation of general multi-band Hubbard models. We set up a diagrammatic formalism which allows us to evaluate analytically ground-state properties in the limit of…

Strongly Correlated Electrons · Physics 2009-10-30 Joerg Buenemann , Florian Gebhard , Werner Weber

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

Interactions between electrons and phonons play a crucial role in quantum materials. Yet, there is no universal method that would simultaneously accurately account for strong electron-phonon interactions and electronic correlations. By…

Strongly Correlated Electrons · Physics 2023-09-06 M. Michael Denner , Alexander Miessen , Haoran Yan , Ivano Tavernelli , Titus Neupert , Eugene Demler , Yao Wang

We review the recently proposed extension of the Gutzwiller approximation, M. Schiro' and M. Fabrizio, Phys. Rev. Lett. 105, 076401 (2010), designed to describe the out-of-equilibrium time-evolution of a Gutzwiller-type variational wave…

Strongly Correlated Electrons · Physics 2015-06-04 Michele Fabrizio

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

We present a novel approach to electron-lattice interaction beyond the linear-coupling regime. Based on the solution of a Holstein-Peierls-type model, we derive explicit analytical expressions for the eigenvalue spectrum of the Hamiltonian,…

Materials Science · Physics 2018-12-13 Pablo García Risueño , Dmitrii Nabok , Qiang Fu , Claudia Draxl

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

We numerically and analytically calculate the properties of the bipolaron in an extended Hubbard Holstein model, which has a longer range electron-phonon coupling like the Fr\" ohlich model. In the strong coupling regime, the effective mass…

Strongly Correlated Electrons · Physics 2009-11-07 J. Bonca , S. A. Trugman

We analyze the Mott transition in multi-band Hubbard models with the inclusion of multiplet exchange splittings as it arises in infinite dimensions by using the generalized Gutzwiller wave-function introduced by B\"unemann, Weber and…

Strongly Correlated Electrons · Physics 2009-11-10 Claudio Attaccalite , Michele Fabrizio

We investigate an extended version of the periodic Anderson model (the so-called periodic Anderson-Hubbard model) with the aim to understand the role of interaction between conduction electrons in the formation of the heavy-fermion and…

Strongly Correlated Electrons · Physics 2013-05-30 I. Hagymasi , K. Itai , J. Solyom

We consider a model Hamiltonian for a dimer including all the electronic one- and two-body terms consistent with a single orbital per site, a free Einstein phonon term, and an electron-phonon coupling of the Holstein type. The bare…

Strongly Correlated Electrons · Physics 2009-10-31 M. Acquarone , J. R. Iglesias , M. A. Gusmao , C. Noce , A. Romano

A new wavefunction which improves the Gutzwiller-type local ansatz method has been proposed to describe the correlated electron system. The ground-state energy, double occupation number, momentum distribution function, and quasiparticle…

Strongly Correlated Electrons · Physics 2009-11-13 Y. Kakehashi , T. Shimabukuro , C. Yasuda

We study the crossover from quasi free electron to small polaron in the Holstein model for a single electron by means of both exact and self-consistent calculations in one dimension and on an infinite coordination lattice. We show that the…

Strongly Correlated Electrons · Physics 2009-10-30 M. Capone S. Ciuchi , C. Grimaldi

The electron-phonon (e-ph) interaction remains of great interest in condensed matter physics and plays a vital role in realizing superconductors, charge-density-waves (CDW), and polarons. We study the two-dimensional Holstein model for e-ph…

Strongly Correlated Electrons · Physics 2021-07-12 B. Nosarzewski , E. W. Huang , Philip M. Dee , I. Esterlis , B. Moritz , S. A. Kivelson , S. Johnston , T. P. Devereaux
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