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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References
S. Chandrasekharan and U.-J. Wiese: Phys. Rev. Lett. 83, 3116 (1999).
A. Moreo and D.J. Scalapino: Phys. Rev. Lett. 66, 946 (1991); R. Lacaze, et al. Eur. Phys. J. B 2, 509 (1998).
S. Chandrasekharan and J.C. Osborn, in preparation.
S. Chandrasekharan and J.C. Osborn: Phys. Lett. B 496, 122 (2000).
J.C. Osborn: Meron Cluster Updates with Binary Trees, in preparation.
S. Chandrasekharan et al.: Nucl. Phys. B 576, 481 (2000); S. Chandrasekharan, Nucl. Phys. Proc. Suppl. 83, 774 (2000); J. Cox et al.: Nucl. Phys. Proc. Suppl. 83, 777 (2000).
S. Chandrasekharan and J.C. Osborn: Computer Simulation Studies in Condensed Matter Physics XIII. Eds. D.P. Landau et al. (Springer, Berlin Heidel-berg New York 2000).
S. Chandrasekharan and J.C. Osborn, in preparation.
E.L. Pollock and D.M. Ceperley: Phys. Rev. B 36, 8343 (1987); H. Weber and P. Minnhagen: Phys. Rev. B 37, 5986 (1988).
K. Harada and N. Kawashima: J. Phys. Soc. Jpn. 67, 2768 (1998).
J.M. Kosterlitz and D.J. Thouless: J. Phys. C 6, 1181 (1973); J.M. Kosterlitz, J. Phys. C 7, 1046 (1974).
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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
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