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Dynamical two electron states in a Hubbard-Davydov model

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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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Authors and Affiliations

  1. CCMAR and FCT, Universidade do Algarve, Campus de Gambelas, 8000, Faro, Portugal

    L. Cruzeiro

  2. Department of Mathematics, Heriot-Watt University, EH14 4AS, Edinburgh, UK

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

Authors
  1. L. Cruzeiro
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  2. J. C. Eilbeck
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  3. J. L. Marín
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  4. F. M. Russell
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Corresponding author

Correspondence to J. C. Eilbeck.

Additional information

Received: 14 August 2004, Published online: 26 November 2004

PACS:

71.38.-k Polarons and electron-phonon interactions - 63.20.Pw Localized modes - 63.20.Ry Anharmonic lattice modes

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Cruzeiro, L., Eilbeck, J.C., Marín, J.L. et al. Dynamical two electron states in a Hubbard-Davydov model. Eur. Phys. J. B 42, 95–102 (2004). https://doi.org/10.1140/epjb/e2004-00360-1

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