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Single Hole Dynamics in Correlated Insulators

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High Performance Computing in Science and Engineering ’01

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Abstract

We present recent quantum Monte Carlo results for two canonical model Hamiltonians of strongly correlated electrons, the t-J and the Kondo lattice models. Ground state properties on systems sizes up to 24 × 24 are computed numerically. Both models at a particular band filling are correlated insulators. Here, we concentrate on the dynamics of single hole doped into this state. For the t-J model we show that two-leg ladder systems can be well understood from a strong coupling limit along the rungs. In the three-leg ladder system, the low-energy spectrum can be described as an effective chain and an effective two-leg ladder for the symmetric and antisymmetric band, respectively. In the Kondo lattice model competing interactions-the Ruderman-Kittel-Kasuya-Yossida (RKKY) interaction and Kondo effect-lead to a quantum phase transition between ordered and disordered magnetic states. Analysis of the single-hole dispersion relation shows that the RKKY interaction and Kondo effects coexist: impurity spins are partially screened and the remnant magnetic moment orders.

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Authors and Affiliations

  1. Institut für Theoretische Physik III, Universität Stuttgart, Pfaffenwaldring 57, D-70550, Stuttgart, Germany

    Michael Brunner, Catia Lavalle, Sylvain Capponi, Martin Feldbacher, Fakher F. Assaad & Alejandro Muramatsu

  2. School of Physics, The University of New South Wales, 2052, Sydney, NSW, Australia

    Michael Brunner

  3. Université Paul Sabatier, Laboratoire de Physique Quantique, 118 route de, 31062 Toulouse, Narbonne, France

    Sylvain Capponi

Authors
  1. Michael Brunner
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  2. Catia Lavalle
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  3. Sylvain Capponi
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  4. Martin Feldbacher
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  5. Fakher F. Assaad
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  6. Alejandro Muramatsu
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Editors and Affiliations

  1. Aerodynamisches Institut der RWTH Aachen, Wuellnerstraße zw. 5 u. 7, 52062, Aachen, Germany

    Egon Krause

  2. Institut für Wissenschaftliches Rechnen, Universität Heidelberg, Im Neuenheimer Feld 368, 69120, Heidelberg, Germany

    Willi Jäger

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© 2002 Springer-Verlag Berlin Heidelberg

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Brunner, M., Lavalle, C., Capponi, S., Feldbacher, M., Assaad, F.F., Muramatsu, A. (2002). Single Hole Dynamics in Correlated Insulators. In: Krause, E., Jäger, W. (eds) High Performance Computing in Science and Engineering ’01. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-56034-7_13

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  • DOI: https://doi.org/10.1007/978-3-642-56034-7_13

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-62719-4

  • Online ISBN: 978-3-642-56034-7

  • eBook Packages: Springer Book Archive

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