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Electron-phonon interaction in the t-J model.

O Rösch1, O Gunnarsson

  • 1Max-Planck-Institut für Festkörperforschung, D-70506 Stuttgart, Germany.

Physical Review Letters
|April 20, 2004
PubMed
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We developed a new electron-phonon coupling model from the three-band model. This model explains anomalous phonon softening observed in experiments upon doping, crucial for understanding material properties.

Area of Science:

  • Condensed Matter Physics
  • Materials Science
  • Computational Physics

Background:

  • Understanding electron-phonon coupling is crucial for explaining material properties.
  • The three-band model is a common framework for studying correlated electron systems.
  • Phonon interactions significantly influence electronic properties in materials.

Purpose of the Study:

  • To derive a t-J model incorporating electron-phonon coupling from a three-band model.
  • To investigate the impact of phonon modulation on both hopping and Coulomb integrals.
  • To explain experimentally observed phonon anomalies in doped materials.

Main Methods:

  • Derivation of a t-J model with electron-phonon coupling.
  • Consideration of phonon-induced modulations of hopping and Coulomb integrals.

Related Experiment Videos

  • Analysis of the model's predictions for phonon mode behavior.

    • Main Results:

    • The derived model shows that while hopping integral modulation is dominant, Coulomb integral modulation is also significant.
    • The model successfully explains the anomalous softening of the half-breathing phonon mode upon doping.
    • A weaker softening of the breathing mode is also reproduced, while other modes are less affected.

    Conclusions:

    • Electron-phonon coupling, including Coulomb integral modulation, is essential for accurately describing material properties.
    • The derived t-J model provides a valuable tool for understanding doping-induced phonon anomalies.
    • The model highlights the specific influence of phonons on different vibrational modes in materials.