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Superconductivity with a Meron-Cluster Algorithm

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Part of the book series: Springer Proceedings in Physics ((SPPHY,volume 89))

Abstract

The meron-cluster algorithm provides an efficient method to do quantum Monte Carlo simulations of certain fermionic systems. It was previously used to extensively study the physics associated with the spontaneous breaking of a discrete symmetry. We recently discovered that a larger class of models with continuous symmetries can also be simulated using the meron-cluster algorithm. Here we study one of these new models which is an extension of the attractive Hubbard model. In two dimensions we find clear evidence that the U(1) fermion number symmetry undergoes a Kosterlitz-Thouless transition to a superconducting phase.

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© 2002 Springer-Verlag Berlin Heidelberg

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Osborn, J.C. (2002). Superconductivity with a Meron-Cluster Algorithm. In: Landau, D.P., Lewis, S.P., Schüttler, HB. (eds) Computer Simulation Studies in Condensed-Matter Physics XIV. Springer Proceedings in Physics, vol 89. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-59406-9_24

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  • DOI: https://doi.org/10.1007/978-3-642-59406-9_24

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-63967-8

  • Online ISBN: 978-3-642-59406-9

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