Critical exponent η_ϕof the Lattice London Superconductor and vortex loops in the 3D XY model

Abstract

The anomalous dimension of the lattice London superconductor is determined from finite size scaling of the susceptibility to be η_ϕ= -0.79(1). Indirect determinations of η_ϕfrom properties of the vortex loops in the 3D XY model are also attempted, but it is found that the results are sensitive to details in the simulations related to vortex loop intersections. It is suggested that the same value of η_ϕcan at most be obtained from vortex loop properties in the limit of low vortex density.

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