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

Ansgar Dorneich (), Martin Jöstingmeier, Enrico Arrigoni, Christopher Dahnken, Thomas Eckl, Werner Hanke, Shou Cheng Zhang () and Matthias Troyer ()
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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

A chapter in High Performance Computing in Science and Engineering, Munich 2002, 2003, pp 307-326 from Springer

Abstract: 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.

Keywords: Operator String; Detailed Balance; Body Physics; Imaginary Time; Exact Diagonalization (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-55526-8_25

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DOI: 10.1007/978-3-642-55526-8_25

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