Dynamical two electron states in a Hubbard-Davydov model

L. Cruzeiro, J. C. Eilbeck, J. L. Marín, F. M. Russell

Research output: Contribution to journalArticle

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.

Original languageEnglish
Pages (from-to)95-102
Number of pages8
JournalEuropean Physical Journal B: Condensed Matter and Complex Systems
Volume42
Issue number1
DOIs
Publication statusPublished - Nov 2004

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elementary excitations
electron states
high temperature superconductors
coupled modes
phonons
harmonics
simulation
energy

Cite this

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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.",
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Dynamical two electron states in a Hubbard-Davydov model. / Cruzeiro, L.; Eilbeck, J. C.; Marín, J. L.; Russell, F. M.

In: European Physical Journal B: Condensed Matter and Complex Systems, Vol. 42, No. 1, 11.2004, p. 95-102.

Research output: Contribution to journalArticle

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AU - Eilbeck, J. C.

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