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Object-Oriented C++ Class Library for Many Body Physics on Finite Lattices and a First Application to High-Temperature Superconductivity

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High Performance Computing in Science and Engineering, Munich 2002

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Abstract

We present the design and implementation details for an object-oriented C++ class library for many-body physics on finite lattices. We divide the simulation in five modules which are strictly separated and interact via well defined interfaces. Special emphasis is put on the simulation algorithms, where we review the stochastic series expansion and the loop-operator update, both used in our Quantum-Monte-Carlo simulations. The second part of the paper is dedicated to an application from solid-state physics: the SO(5) model in two dimensions as a model for high-temperature-superconductivity. We demonstrate that this microscopic model, which aims at unifying antiferromagnetism and superconductivity, reproduces salient features of the temperature versus doping phase diagram.

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Author information

Authors and Affiliations

  1. Institute for Theoretical Physics and Astrophysics, University of Würzburg Am Hubland, 97074, Würzburg, Germany

    Ansgar Dorneich, Martin Jöstingmeier, Enrico Arrigoni, Christopher Dahnken, Thomas Eckl & Werner Hanke

  2. Department of Physics, Stanford University Stanford, 94305, California, USA

    Shou Cheng Zhang

  3. Institute for Theoretical Physics, ETH Zürich, 8093, Zürich, Switzerland

    Matthias Troyer

Authors
  1. Ansgar Dorneich
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  2. Martin Jöstingmeier
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  3. Enrico Arrigoni
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  4. Christopher Dahnken
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  5. Thomas Eckl
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  6. Werner Hanke
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  7. Shou Cheng Zhang
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  8. Matthias Troyer
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Editor information

Editors and Affiliations

  1. Institut für Aerodynamik und Gasdynamik, Universität Stuttgart, Pfaffenwaldring 21, 70550, Stuttgart, Germany

    Siegfried Wagner

  2. Lehrstuhl für Rechnertechnik und Rechnerorganisation Institut für Informatik, Technische Universität München, Boltzmannstraße 3, 85748, Garching, Germany

    Arndt Bode

  3. Institut für Theoretische Physik und Astrophysik, Universität Würzburg, Am Hubland, 97074, Würzburg, Germany

    Werner Hanke

  4. Lehrstuhl für Strömungsmechanik, Friedrich-Alexander-Universität, Erlangen-Nürnberg Cauerstraße 4, 91058, Erlangen, Germany

    Franz Durst

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© 2003 Springer-Verlag Berlin Heidelberg

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Dorneich, A. et al. (2003). Object-Oriented C++ Class Library for Many Body Physics on Finite Lattices and a First Application to High-Temperature Superconductivity. In: Wagner, S., Bode, A., Hanke, W., Durst, F. (eds) High Performance Computing in Science and Engineering, Munich 2002. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-55526-8_25

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  • DOI: https://doi.org/10.1007/978-3-642-55526-8_25

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-62446-9

  • Online ISBN: 978-3-642-55526-8

  • eBook Packages: Springer Book Archive

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