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SU(2)-spin Invariant Auxiliary Field Quantum Monte-Carlo Algorithm for Hubbard models

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High Performance Computing in Science and Engineering ’98

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Abstract

Auxiliary field quantum Monte Carlo methods for Hubbard models are generally based on a Hubbard-Stratonovitch transformation where the field couples to the z-component of the spin. This transformation breaks SU(2) spin invariance. The symmetry is restored only after summation over the auxiliary fields. Here, we analyze an alternative decomposition, which conserves SU(2) spin invariance, but requires the use of complex numbers. We show that this algorithm gets rid of the very large fluctuations observed in imaginary time displaced correlation functions of quantities which do not commute with the z-component of the total spin. The algorithm prooves to be efficient for the study of spin dynamics.

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Author information

Authors and Affiliations

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

    F. F. Assaad

Authors
  1. F. F. Assaad
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Editor information

Editors and Affiliations

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

    Egon Krause

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

    Willi Jäger

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© 1999 Springer-Verlag Berlin Heidelberg

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Assaad, F.F. (1999). SU(2)-spin Invariant Auxiliary Field Quantum Monte-Carlo Algorithm for Hubbard models. In: Krause, E., Jäger, W. (eds) High Performance Computing in Science and Engineering ’98. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-58600-2_12

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  • DOI: https://doi.org/10.1007/978-3-642-58600-2_12

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-63661-5

  • Online ISBN: 978-3-642-58600-2

  • eBook Packages: Springer Book Archive

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