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Monte Carlo test of the Goldstone mode singularity in 3D XY model

Author

Listed:
  • J. Kaupužs
  • R. V.N. Melnik
  • J. Rimshans

Abstract

Monte Carlo simulations of magnetization and susceptibility in the 3D XY model are performed for system sizes up to L=384 (significantly exceeding the largest size L=160 considered in work published previously), and fields h ≥ 0.0003125 at two different coupling constants β=0.5, and β=0.55 in the ordered phase. We examine the prediction of the standard theory that the longitudinal susceptibility χ ∥ has a Goldstone mode singularity such that χ ∥ ∝h -1/2 holds when h↦0. Most of our results, however, support another theoretical prediction that the singularity is of a more general form χ ∥ ∝h ρ-1 , where 1/2>ρ>1 is a universal exponent related to the ∼h ρ variation of the magnetization. Copyright EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2007

Suggested Citation

  • J. Kaupužs & R. V.N. Melnik & J. Rimshans, 2007. "Monte Carlo test of the Goldstone mode singularity in 3D XY model," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 55(4), pages 363-370, February.
    • Handle: RePEc:spr:eurphb:v:55:y:2007:i:4:p:363-370
    DOI: 10.1140/epjb/e2007-00064-0
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