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$\text{BaBiO}_{3}$ compound is known as an archetype example of a three-dimensional Holstein model with the realization of the charge density wave state at half-filling and the superconducting state when doped. Although many works are…

An ill-defined integral equation for modeling the mass-spectrum of mesons is regulated with an additional but unphysical parameter. This parameter dependance is removed by renormalization. Illustrative graphical examples are given.

High Energy Physics - Phenomenology · Physics 2009-11-07 Michael Frewer , Tobias Frederico , Hans-Christian Pauli

Partial summing of infinite range of diagrams for the two-phonon mass operator of polaron described by Fr\"{o}hlich Hamiltonian is performed using the Feynman-Pines diagram technique. Renormalized spectral parameters of ground and first…

Mesoscale and Nanoscale Physics · Physics 2015-10-26 M. V. Tkach , Ju. O. Seti , O. M. Voitsekhivska , O. Yu. Pytiuk

We study a class of exactly solvable models for strongly correlated electrons, defined on a set of N cells, and with infinite on-site repulsion on part of the sites of each cell. For 2N or more electrons the exact ground state is known. We…

Condensed Matter · Physics 2009-10-28 Andreas Giesekus , Uwe Brandt

Model Hamiltonians with long-range interaction yield energies that are corrected taking into account the universal behavior of the electron-electron interaction at short range. Although the intention of the paper is to explore the…

Chemical Physics · Physics 2020-10-28 Andreas Savin

Electron-phonon interaction and phonon frequencies of doped polar semiconductors are sensitive to long-range Coulomb forces and can be strongly affected by screening effects of free carriers, the latter changing significantly when…

Materials Science · Physics 2025-06-10 Francesco Macheda , Thibault Sohier , Paolo Barone , Francesco Mauri

Model Hamiltonians are regularly derived from first-principles data to describe correlated matter. However, the standard methods for this contain a number of largely unexplored approximations. For a strongly correlated impurity model…

The Anderson-Holstein model is studied in the framework of the semiclassical approximation. Analytic results for Kondo temperature renormalized by weak electron-phonon interaction and for phonon Green function are obtained, and they are…

Strongly Correlated Electrons · Physics 2009-11-10 Hyun C. Lee , Han-Yong Choi

The shot noise power and the Fano factor of a spinless resonant level model is calculated. The Coulomb interaction which in this model acts between the lead electron and the impurity is considered in the first order approximation. The…

Strongly Correlated Electrons · Physics 2013-05-29 A. Golub

We study the unscreened Coulomb interaction in a one-dimensional electron system at low-energy. We use renormalization group methods and a GW approximation, in order to analyze the model. This yields both a strong wavefunction…

High Energy Physics - Theory · Physics 2007-05-23 S. Bellucci

The appearance of certain spectral features in one-dimensional (1D) cuprate materials has been attributed to a strong, extended attractive coupling between electrons. Here, using time-dependent density matrix renormalization group methods…

Strongly Correlated Electrons · Physics 2023-10-24 Ta Tang , Brian Moritz , Cheng Peng , Z. X. Shen , Thomas P. Devereaux

Infrared and collinear events shapes are suited to directly probe properties of hard QCD. They are traditionally used to measure the strong coupling and to test the gauge structure of QCD. Perturbative predictions exist in several…

High Energy Physics - Phenomenology · Physics 2007-05-23 D. Wicke

A single electron in one dimensional lattice is considered within the framework of extended Holstein model at strong-coupling limit. Disordered density-displacement type electron-phonon interaction is proposed. Basic parameters of small…

Strongly Correlated Electrons · Physics 2014-08-21 Bakhrom Yavidov

A full strength Coulomb interaction between trapped electrons can be felt only in absence of a neutralizing background. In order to study quantum degenerate electrons without such a background, an external trap is needed to compensate for…

Quantum Gases · Physics 2016-05-23 Ronen Kroeze , Jom Luiten , Servaas Kokkelmans

It is shown on the basis of the multiplicative renormalization-group method of two-loop order that the low-energy effective Hamiltonian of a strongly coupled local electron-phonon system is mapped to the two-channel Kondo model. A phonon is…

Condensed Matter · Physics 2009-10-28 Hiroaki Kusunose , Kazumasa Miyake

We present a general method to study weak-coupling instabilities of a large class of interacting electron models in a controlled and unbiased way. Quite generally, the electron gas is unstable towards a superconducting state even in the…

Strongly Correlated Electrons · Physics 2009-11-10 B. Binz , D. Baeriswyl , B. Doucot

Using for unperturbed electron and phonon Hamiltonians a representation by the Jacobi matrices a one-dimensional model of the electron-phonon interaction is constructed. In frame of the model the polaron and scattering spectral bands are…

Other Condensed Matter · Physics 2007-05-23 Yu. A. Kuperin , B. S. Pavlov , R. V. Romanov , G. E. Rudin

We formulate a general three-dimensional semiclassical model for the study of correlated multielectron escape during fragmentation of molecules driven by intense infrared laser pulses, while fully accounting for the magnetic field of the…

Atomic Physics · Physics 2023-11-30 Georgios Petros Katsoulis , Matthew Benjamin Peters , Agapi Emmanouilidou

Phase diagram of the Hubbard-Holstein model in the coexistence of electron-electron and electron-phonon interactions has been theoretically obtained with the density-matrix renormalization group method for one-dimensional (1D) systems,…

Strongly Correlated Electrons · Physics 2008-01-16 Masaki Tezuka , Ryotaro Arita , Hideo Aoki

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