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On the basis of the two-site polaron problem, which we solve by exact diagonalization, we analyse the spectral properties of polaronic systems in view of discerning localized from itinerant polarons and bound polaron pairs from an ensemble…

Strongly Correlated Electrons · Physics 2009-10-30 E. V. L. de Mello , J. Ranninger

In the large polaron model of H. Froehlich, the electron-phonon interaction is a small perturbation in form sense, but a large perturbation in operator sense. This means that the form-domain of the Hamiltonian is not affected by the…

Mathematical Physics · Physics 2016-02-19 M. Griesemer , A. Wuensch

It is generally accepted that the dynamical mean field theory gives a good solution of the Holstein model, but only in dimensions greater than two. Here, we show that this theory, which becomes exact in the weak coupling and in the atomic…

Strongly Correlated Electrons · Physics 2022-08-24 Petar Mitrić , Veljko Janković , Nenad Vukmirović , Darko Tanasković

We study the effects of lattice type on polaron dynamics using a continuous-time quantum Monte-Carlo approach. Holstein and screened Froehlich polarons are simulated on a number of different Bravais lattices. The effective mass, isotope…

Strongly Correlated Electrons · Physics 2009-11-11 J. P. Hague , P. E. Kornilovitch , A. S. Alexandrov , J. H. Samson

The formation of polarons is a pervasive phenomenon in transition metal oxide compounds, with a strong impact on the physical properties and functionalities of the hosting materials. In its original formulation the polaron problem considers…

Materials Science · Physics 2019-02-18 Michele Reticcioli , Ulrike Diebold , Georg Kresse , Cesare Franchini

The formation and local symmetry of spin-lattice polaron has been investigated semiclassically in the planar Holstein t-J-like models within the exact diagonalization method. Due to the interplay of strong correlations and electron-lattice…

Strongly Correlated Electrons · Physics 2015-06-12 Han Ma , T. K. Lee , Yan Chen

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

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 present an exact Monte Carlo method to simulate the nonequilibrium dynamics of electron-phonon models in the adiabatic limit of zero phonon frequency. The classical nature of the phonons allows us to sample the equilibrium phonon…

Strongly Correlated Electrons · Physics 2022-02-16 Manuel Weber , James K. Freericks

The Hubbard-Holstein model is studied including double-exchange interaction and superexchange interaction using a variational phonon basis obtained through the modified Lang-Firsov (MLF) transformation followed by the squeezing…

Condensed Matter · Physics 2009-11-10 Jayita Chatterjee , A. N. Das

Electron-electron and electron-phonon interactions are responsible for the formation of spin, charge, and superconducting correlations in layered quantum materials. A paradigmatic model for such materials that captures both kinds of…

Strongly Correlated Electrons · Physics 2026-03-16 Aiman Al-Eryani , Sabine Andergassen , Michael M. Scherer

We explore the quasiparticle properties of lattice polarons on the basis of a quite general electron-phonon Hamiltonian with a long-range displacement-type of interaction. To treat the dynamical quantum phonons without significant loss of…

Strongly Correlated Electrons · Physics 2009-10-31 H. Fehske , J. Loos , G. Wellein

We derive an effective d-dimensional Hamiltonian for a system of hard-core-bosons coupled to optical phonons in a lattice. At non-half-fillings, a superfluid-supersolid transition occurs at intermediate boson-phonon couplings, while at…

Strongly Correlated Electrons · Physics 2009-07-22 Sanjoy Datta , Sudhakar Yarlagadda

Spectral, optical and transport properties of an anisotropic three-dimensional Holstein model are studied within the adiabatic approximation. The parameter regime is appropriate for organic semiconductors used in single crystal based field…

Strongly Correlated Electrons · Physics 2015-05-27 C. A. Perroni , A. Nocera , V. Marigliano Ramaglia , V. Cataudella

Electrons coupled to local lattice deformations end up in selftrapped localized molecular states involving their binding into bipolarons when the coupling is stronger than a certain critical value. Below that value they exist as essentially…

Superconductivity · Physics 2009-11-11 J. Ranninger , A. Romano

We re-examine the Peierls insulator to Mott insulator transition scenario in the one-dimensional Holstein-Hubbard model where, at half-filling, electron-phonon and electron-electron interactions compete for establishing charge- and…

Strongly Correlated Electrons · Physics 2009-11-13 H. Fehske , G. Hager , J. Jeckelmann

We extend a recently introduced semiclassical approach to calculating the influence of local lattice fluctuations on electronic properties of metals and metallic molecular crystals. The effective action of electrons in degenerate orbital…

Strongly Correlated Electrons · Physics 2009-11-10 Stefan Blawid , Gertrud Zwicknagl

We derive an effective d-dimensional Hamiltonian for a system of hard-core-bosons coupled to optical phonons in a lattice. Away from half-filling, we show that the presence of next-nearest-neighbor hopping in the effective Hamiltonian leads…

Strongly Correlated Electrons · Physics 2008-12-11 Sanjoy Datta , Sudhakar Yarlagadda

In the context of the Holstein polaron problem it is shown that the dynamical mean field theory (DMFT) corresponds to the summation of a special class of local diagrams in the skeleton expansion of the self-energy. In the real space…

Strongly Correlated Electrons · Physics 2013-05-29 O. S. Barisic

We investigate the influence of electron-phonon coupling on the superexchange interaction of magnetic insulators. Both the Holstein-Hubbard model where the phonons couple to the electron density, as well as an extended Su, Schrieffer,…

Condensed Matter · Physics 2009-10-28 W. Stephan , M. Capone , M. Grilli , C. Castellani
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