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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

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

Employing the Lanczos algorithm in combination with a kernel polynomial moment expansion (KPM) and the maximum entropy method (MEM), we show a way of calculating charge and spin excitations in the Holstein t-J model, including the full…

Strongly Correlated Electrons · Physics 2009-10-28 H. Fehske , G. Wellein , B. Bäuml , R. N. Silver

We investigate the influence of the electron-phonon coupling in the one-dimensional spinless Holstein model at half-filling using both a recently developed projector-based renormalization method (PRM) and an refined exact diagonalization…

Strongly Correlated Electrons · Physics 2009-11-10 S. Sykora , A. Huebsch , K. W. Becker , G. Wellein , H. Fehske

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 ground state and finite temperature properties of polarons are studied considering a two-site and a four-site Holstein model by exact diagonalization of the Hamiltonian. The kinetic energy, Drude weight, correlation functions involving…

Strongly Correlated Electrons · Physics 2009-11-13 A. N. Das , S. Sil

The Holstein model with dispersionless Einstein phonons is one of the simplest models describing electron-phonon interactions in condensed matter. A naive extrapolation of perturbation theory in powers of the relevant dimensionless…

Strongly Correlated Electrons · Physics 2022-06-23 Niklas Cichutek , Max Hansen , Peter Kopietz

Simulations of lattice particle - phonon systems are fundamentally restricted by the exponential growth of the number of quantum states with the lattice size. Here, we demonstrate an algorithm that constructs the lowest eigenvalue and…

Quantum Physics · Physics 2025-02-10 Elham Torabian , Roman V. Krems

In this work we investigate temperature dependence of electronic structure of system with strong electronic correlations and strong electron-phonon interaction modeling cuprates in the frameworks of the three-band p-d-Holstein model by a…

Strongly Correlated Electrons · Physics 2018-01-03 Ilya A. Makarov , Sergey G. Ovchinnikov

We perform an unitary transformation for the symmetric phonon mode of the Holstein molecular crystal hamiltonian. We show how to compute the electronic spectral functions by exact numerical diagonalisation of an effective hamiltonian fully…

Strongly Correlated Electrons · Physics 2008-02-03 J. M. Robin

\ni We develop a simple method to study the zero-point and thermally renormalized electron energy $\varepsilon_{\mathbf{k}n}(T)$ for $\mathbf{k}n$ the conduction band minimum or valence maximum in polar semiconductors. We use the adiabatic…

Materials Science · Physics 2016-09-21 Jean Paul Nery , Philip B. Allen

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

Density-matrix renormalization group is used to study the pairing when both of electron-electron and electron-phonon interactions are strong in the Holstein-Hubbard model at half-filling in a region intermediate between the adiabatic…

Strongly Correlated Electrons · Physics 2009-09-29 Masaki Tezuka , Ryotaro Arita , Hideo Aoki

We present electron and phonon spectral functions calculated from determinant quantum Monte Carlo simulations of the half-filled two-dimensional Hubbard-Holstein model on a square lattice. By tuning the relative electron-electron ($e$-$e$)…

Strongly Correlated Electrons · Physics 2015-10-15 E. A. Nowadnick , S. Johnston , B. Moritz , T. P. Devereaux

We analyze ultrafast tunneling experiments in which electron transport through a localized orbital is induced by a single cycle THz pulse. We include both electron-electron and electron-phonon interactions on the localized orbital using the…

Mesoscale and Nanoscale Physics · Physics 2020-09-16 Tao Shi , J. Ignacio Cirac , Eugene Demler

(Quasi-)one-dimensional systems exhibit various fascinating properties such as Luttinger liquid behavior, Peierls transition, novel topological phases, and the accommodation of unique quasiparticles (e.g., spinon, holon, and soliton, etc.).…

Strongly Correlated Electrons · Physics 2023-11-07 L. Kang , X. Du , J. S. Zhou , X. Gu , Y. J. Chen , R. Z. Xu , Q. Q. Zhang , S. C. Sun , Z. X. Yin , Y. W. Li , D. Pei , J. Zhang , R. K. Gu , Z. G. Wang , Z. K. Liu , R. Xiong , J. Shi , Y. Zhang , Y. L. Chen , L. X. Yang

We study the electron and phonon thermalization in simple metals excited by a laser pulse. The thermalization is investigated numerically by solving the Boltzmann transport equation taking into account all the relevant scattering mechanism:…

Materials Science · Physics 2018-02-28 Shota Ono

The interplay of electron-electron and electron-phonon interactions is studied analytically in the Kondo regime. A Holstein electron-phonon coupling is shown to produce a weakening of the gate voltage dependence of the Kondo temperature and…

Strongly Correlated Electrons · Physics 2007-05-23 C. A. Balseiro , P. S. Cornaglia , D. R. Grempel

We compute the transient dynamics of phonons in contact with high energy "hot" charge carriers in 12 polar and non-polar semiconductors, using a first-principles Boltzmann transport framework. For most materials, we find that the decay in…

Mesoscale and Nanoscale Physics · Physics 2017-10-03 Sridhar Sadasivam , Maria K. Y. Chan , Pierre Darancet

We investigate the rectification of heat current carried by electrons through a double quantum dot (DQD) system under a temperature bias. The DQD can be realized by molecules such as suspended carbon nanotube and be described by the…

Mesoscale and Nanoscale Physics · Physics 2018-06-26 Gaomin Tang , Lei Zhang , Jian Wang