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∥ ∝hρ-1, where 1/2<ρ<1 is a universal exponent related to the ∼hρ variation of the magnetization.
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Kaupužs, J., Melnik, R. & Rimshans, J. Monte Carlo test of the Goldstone mode singularity in 3D XY model. Eur. Phys. J. B 55, 363–370 (2007). https://doi.org/10.1140/epjb/e2007-00064-0
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DOI: https://doi.org/10.1140/epjb/e2007-00064-0