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Related papers: A new perspective on the Holstein polaron problem

200 papers

The interplay between electron-electron correlations and disorder has been a central theme of condensed matter physics over the last several decades, with particular interest in the possibility that interactions might cause delocalization…

Strongly Correlated Electrons · Physics 2021-03-12 Bo Xiao , Natanael C. Costa , Ehsan Khatami , George G. Batrouni , Richard T. Scalettar

Employing the recently developed self-consistent variational basis generation scheme, we have investigated the bipolaron-bipolaron interaction within the purview of Holstein-Hubbard and the extended-Holstein-Hubbard (F2H) model on a…

Strongly Correlated Electrons · Physics 2014-07-31 Monodeep Chakraborty , Masaki Tezuka , B. I. Min

We use the approximation-free Bold Diagrammatic Monte Carlo technique to study the effects of a finite dispersion of the optical phonon mode on the properties of the Holstein polaron, especially its effective mass. For weak electron-phonon…

Strongly Correlated Electrons · Physics 2013-09-02 Dominic J. J. Marchand , Mona Berciu

A new formalism using the ideas of the augmented space recursion (introduced by one of us) has been proposed to study the ground state properties of ordered and disordered one-dimensional Holstein model. For ordered case our method works…

Disordered Systems and Neural Networks · Physics 2009-11-11 Atisdipankar Chakrabarti , Monodeep Chakraborty , Abhijit Mookerjee

We utilize an exact variational numerical procedure to calculate the ground state properties of a polaron in the presence of a Rashba-like spin orbit interaction. Our results corroborate with previous work performed with the Momentum…

Strongly Correlated Electrons · Physics 2011-07-11 Zhou Li , L. Covaci , M. Berciu , D. Baillie , F. Marsiglio

A model with Holstein-like electron-phonon coupling is studied in the limit of adiabatic phonons. The phonon distribution is anharmonic with two degenerate maxima. This model can be related to fermions in a correlated binary alloy and…

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

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…

Strongly Correlated Electrons · Physics 2007-06-13 Martin Hohenadler , Markus Aichhorn , Wolfgang von der Linden

We introduce a variational wave-function to study the polaron formation when the electronic transfer integral depends on the relative displacement between nearest-neighbor sites giving rise to a non-local electron-phonon coupling with…

Strongly Correlated Electrons · Physics 2009-11-10 C. A. Perroni , E. Piegari , M. Capone , V. Cataudella

The two-site two-electron Holstein model is studied within a perturbation method based on a variational phonon basis obtained through the modified Lang-Firsov (MLF) transformation. The ground-state wave function and the energy are found out…

Condensed Matter · Physics 2007-05-23 Jayita Chatterjee , A. N. Das

Following the Dirac-Frenkel time-dependent variational principle, transient dynamics of a one-dimensional Holstein polaron with diagonal and off-diagonal exciton-phonon coupling in an external electric field is studied by employing the…

Quantum Physics · Physics 2017-04-25 Zhongkai Huang , Lipeng Chen , Nengji Zhou , Yang Zhao

Small polaron behavior in a two dimensional honeycomb net is studied by applying the strong coupling perturbative method to the Holstein molecular crystal model. We find that small optical polarons can be mobile also if the electrons are…

Superconductivity · Physics 2009-11-07 Marco Zoli

The dynamical interplay between electron-electron interactions and electron-phonon coupling is investigated within the Anderson-Holstein model, a minimal model for open quantum systems that embody these effects. The influence of phonons on…

Strongly Correlated Electrons · Physics 2016-05-25 Hsing-Ta Chen , Guy Cohen , Andrew J. Millis , David R. Reichman

We prove variationally that at weak coupling in one, two, and three dimensions there exist correlated electron-phonon states below the approximate ground states characteristically found by adiabatic polaron theory. Besides differing…

Strongly Correlated Electrons · Physics 2007-05-23 Aldo H. Romero , David W. Brown , Katja Lindenberg

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…

Strongly Correlated Electrons · Physics 2020-06-11 E. I. Shneyder , S. V. Nikolaev , M. V. Zotova , R. A. Kaldin , S. G. Ovchinnikov

We consider transport through finite quantum systems such as quantum barriers, wells, dots or junctions, coupled to local vibrational modes in the quantal regime. As a generic model we study the Holstein-Hubbard Hamiltonian with…

Strongly Correlated Electrons · Physics 2009-11-13 H. Fehske , G. Wellein , J. Loos , A. R. Bishop

We present the complete ground state phase diagram of the Holstein model in two and three dimension considering the phonon variables to be classical. We first establish the overall structure of the phase diagram by using exact…

Strongly Correlated Electrons · Physics 2009-11-10 B. Poornachandra Sekhar , Sanjeev Kumar , Pinaki Majumdar

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

An analytical variational method is applied to the molecular Holstein Hamiltonian in which the dispersive features of the dimension dependent phonon spectrum are taken into account by a force constant approach. The crossover between a large…

Superconductivity · Physics 2009-11-10 Marco Zoli , A. N. Das

We investigate polaron formation in a many-electron system in the presence of a local repulsion sufficiently strong to prevent local-bipolaron formation. Specifically, we consider a Hubbard-Holstein model of interacting electrons coupled to…

Strongly Correlated Electrons · Physics 2007-08-07 Massimo Capone , Marco Grilli , Walter Stephan

We study the dynamics of large polarons described by the Froehlich Hamiltonian in the limit of strong coupling. The initial conditions are (perturbations of) product states of an electron wave function and a phonon coherent state, as…

Mathematical Physics · Physics 2015-06-18 Rupert L. Frank , Benjamin Schlein
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