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

J. Kaupužs (), R. V.N. Melnik and J. Rimshans

The European Physical Journal B: Condensed Matter and Complex Systems, 2007, vol. 55, issue 4, 363-370

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

Keywords: 05.10.Ln Monte Carlo methods; 75.10.Hk Classical spin models; 05.50.+q Lattice theory and statistics (Ising; Potts; etc.) (search for similar items in EconPapers)
Date: 2007
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DOI: 10.1140/epjb/e2007-00064-0

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