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Time-Dependent Gutzwiller Approximation: Interplay with Phonons

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Abstract

We discuss the interplay of phonons with electronic correlations in the small amplitude-limit of the time-dependent Gutzwiller approximation. In this approach the time-dependent Lagrangian for the Hubbard model can be computed with a Gutzwiller wave-function in infinite dimensions and subsequently expanded up to quadratic order in density and double occupancy fluctuations. The dynamics of the latter show a strong softening around the metal–insulator transition giving rise to an interesting interplay with phonons which couple to the hopping.

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Acknowledgements

G.S. acknowledges financial support from the Deutsche Forschungsgemeinschaft.

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Authors and Affiliations

  1. Institut für Physik, BTU Cottbus, P.O. Box 101344, 03013, Cottbus, Germany

    G. Seibold & J. Bünemann

  2. Institut für Theoretische Physik, Leibniz Universität Hannover, Appelstr. 2, 30167, Hannover, Germany

    J. Bünemann

  3. ISC-CNR and Dipartimento di Fisica, Università di Roma “La Sapienza”, P. le Aldo Moro 5, 00185, Roma, Italy

    J. Lorenzana

Authors
  1. G. Seibold
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  2. J. Bünemann
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  3. J. Lorenzana
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Correspondence to G. Seibold.

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Seibold, G., Bünemann, J. & Lorenzana, J. Time-Dependent Gutzwiller Approximation: Interplay with Phonons. J Supercond Nov Magn 27, 929–931 (2014). https://doi.org/10.1007/s10948-013-2412-0

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  • DOI: https://doi.org/10.1007/s10948-013-2412-0

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