Dynamical two electron states in a Hubbard-Davydov model

Details Dynamical two electron states in a Hubbard-Davydov model Dynamical two electron states in a Hubbard-Davydov model

2004-04-30

arxiv.org/abs/cond-mat/0404743v1

Physics

Condensed Matter

Superconductivity

14 pages, 12 figs

Scientific paper

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.

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