English

Dynamical two electron states in a Hubbard-Davydov model

Superconductivity 2007-05-23 v1 Strongly Correlated Electrons

Abstract

We study a model in which a Hubbard Hamiltonian is coupled to the dispersive phonons in a classical nonlinear lattice. Our calculations are restricted to the case where we have only two quasi-particles of opposite spins, and we investigate the dynamics when the second quasi-particle is added to a state corresponding to a minimal energy single quasi-particle state. Depending on the parameter values, we find a number of interesting regimes. In many of these, discrete breathers (DBs) play a prominent role with a localized lattice mode coupled to the quasiparticles. Simulations with a purely harmonic lattice show much weaker localization effects. Our results support the possibility that DBs are important in HTSC.

Keywords

Cite

@article{arxiv.cond-mat/0404743,
  title  = {Dynamical two electron states in a Hubbard-Davydov model},
  author = {L. Cruzeiro-Hansson and J. C. Eilbeck and J. L. Marin and F. M. Russell},
  journal= {arXiv preprint arXiv:cond-mat/0404743},
  year   = {2007}
}

Comments

14 pages, 12 figs

R2 v1 2026-07-22T11:02:46.497Z