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

In: High Performance Computing in Science and Engineering, Munich 2002

Author

Listed:
  • Ansgar Dorneich

    (University of Würzburg Am Hubland, Institute for Theoretical Physics and Astrophysics)

  • Martin Jöstingmeier

    (University of Würzburg Am Hubland, Institute for Theoretical Physics and Astrophysics)

  • Enrico Arrigoni

    (University of Würzburg Am Hubland, Institute for Theoretical Physics and Astrophysics)

  • Christopher Dahnken

    (University of Würzburg Am Hubland, Institute for Theoretical Physics and Astrophysics)

  • Thomas Eckl

    (University of Würzburg Am Hubland, Institute for Theoretical Physics and Astrophysics)

  • Werner Hanke

    (University of Würzburg Am Hubland, Institute for Theoretical Physics and Astrophysics)

  • Shou Cheng Zhang

    (Stanford University Stanford, Department of Physics)

  • Matthias Troyer

    (ETH Zürich, Institute for Theoretical Physics)

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.

Suggested Citation

  • Ansgar Dorneich & Martin Jöstingmeier & Enrico Arrigoni & Christopher Dahnken & Thomas Eckl & Werner Hanke & Shou Cheng Zhang & Matthias Troyer, 2003. "Object-Oriented C++ Class Library for Many Body Physics on Finite Lattices and a First Application to High-Temperature Superconductivity," Springer Books, in: Siegfried Wagner & Arndt Bode & Werner Hanke & Franz Durst (ed.), High Performance Computing in Science and Engineering, Munich 2002, pages 307-326, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-55526-8_25
    DOI: 10.1007/978-3-642-55526-8_25
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