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The single bipolaron problem is examined in the context of the 1D Holstein-Hubbard model, emphasizing analogies and differences with respect to the complementary single polaron physics. The bipolaron band structure below the phonon…

Strongly Correlated Electrons · Physics 2012-05-30 O. S. Barišić , S. Barišić

The behavior of the 1D Holstein polaron is described, with emphasis on lattice coarsening effects, by distinguishing between adiabatic and nonadiabatic contributions to the local correlations and dispersion properties. The original and…

Strongly Correlated Electrons · Physics 2008-08-28 O. S. Barisic , S. Barisic

The field-effect mobility of hole polarons in $\alpha$-sexithiophene, measured in thin film transistors, was shown to be well fitted by Holstein's small polaron theory. Unfortunately, Holstein's formulation is based on an integral that does…

Condensed Matter · Physics 2009-10-30 M. W. Wu , E. M. Conwell

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 Holstein Hamiltonian describes itinerant electrons whose site density couples to local phonon degrees of freedom. In the single site limit, at half-filling, the electron-phonon coupling results in a double well structure for the lattice…

Strongly Correlated Electrons · Physics 2023-08-10 C. Kvande , C. Feng , F. Hébert , G. G. Batrouni , R. T. Scalettar

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

An exact diagonalization technique is used to investigate the low-lying excited polaron states in the Holstein model for the infinite one-dimensional lattice. For moderate values of the adiabatic ratio, a new and comprehensive picture,…

Condensed Matter · Physics 2009-11-07 Osor S. Barisic

We study the Holstein polaron in transverse magnetic field using non-perturbational methods. At strong fields and large coupling, we show that the polaron has a Hofstadter spectrum, however very distorted and of lower symmetry than that of…

Strongly Correlated Electrons · Physics 2015-05-20 Mona Berciu

The physics of ferromagnetic doped manganites, such as \chem{La_{1-x}Ca_xMnO_3} with $x\approx0.2$--0.4, is reviewed. The concept of double exchange is discussed within the general framework of itinerant electron magnetism. The new feature…

Strongly Correlated Electrons · Physics 2015-06-24 D. M. Edwards

The scattering theory of low-energy (slow) electrons has been developed by Evans and Mills [Phys. Rev. B 5, 4126 (1972)]. The formalism is merely based on the electrostatic Coulomb interaction of the scattering electrons with the…

Strongly Correlated Electrons · Physics 2023-05-25 Khalil Zakeri , Christophe Berthod

We study the effective mass of the bipolarons and essentially the possibility to get both light and strongly bound bipolarons in the Holstein-Hubbard model and some variations in the vicinity of the adiabatic limit. Several approaches to…

Superconductivity · Physics 2009-10-31 Laurent Proville , Serge Aubry

Polarons with different types of electron-phonon coupling have fundamentally different properties. When the dominant interaction is between the electron density and lattice displacement, the momentum of the ground state does not change and…

Strongly Correlated Electrons · Physics 2021-07-28 Chao Zhang , Nikolay V. Prokof'ev , Boris V. Svistunov

Small polarons remain a significant bottleneck in the realization of efficient devices using transition metal oxides. Routes to engineer small polaron coupling to electronic states and lattice modes to control carrier localization remain…

We investigate the bipolaronic crossover and the pairing transition for a two-orbital model with Jahn-Teller coupling to a two-fold degenerate phonon mode. The evolution from weak to strong coupling is reminiscent of the behavior of the…

Strongly Correlated Electrons · Physics 2009-04-13 Reza Nourafkan , Massimo Capone , Nasser Nafari

The spatially localized bound states of two electrons in the adiabatic two-dimensional Holstein-Hubbard model on a square lattice are investigated both numerically and analytically. The interplay between the electron-phonon coupling g,…

Superconductivity · Physics 2009-10-31 Laurent Proville , Serge Aubry

We review numerical results for ground-state and spectral properties of the single-electron Holstein model.

Strongly Correlated Electrons · Physics 2007-05-23 Holger Fehske , Andreas Alvermann , Martin Hohenadler , Gerhard Wellein

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

An introduction is given to the many-body coherent potential approximation (CPA) for the double-exchange (DE) model and the Holstein-DE model, the latter including coupling of the electrons to local phonons as well as to local spins. It is…

Strongly Correlated Electrons · Physics 2007-05-23 D. M. Edwards , A. C. M. Green

Nonlinear response of a Mott insulator to external electric field, corresponding to dielectric breakdown phenomenon, is studied within of a one-dimensional half-filled Hubbard model. It is shown that in the limit of nearly spin polarized…

Strongly Correlated Electrons · Physics 2012-05-11 Zala Lenarčič , Peter Prelovšek

Polarons play a major role in the description of optical, electrical and dielectrical properties of several ferroelectric oxides. The motion of those particles occur by elementary hops among the material lattice sites. In order to compute…

Materials Science · Physics 2024-10-17 Anton Pfannstiel , Mirco imlau , Marco Bazzan , Laura Vittadello
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