Methods to determine the Hausdorff dimension of vortex loops in the three-dimensional XY model
Superconductivity
2007-05-23 v1
Abstract
The geometric properties of critical fluctuations in the 3D XY model are analyzed. The 3D XY model is a lattice model describing superfluids. We present a direct evaluation of the Hausdorff dimension D_H of the vortex loops which are the critical fluctuations of the 3D XY model. We also present analytical arguments for why \vartheta in the scaling relation \eta_{\phi} + D_H = 2 + \vartheta between D_H and the anomalous scaling dimension of the corresponding field theory, must be zero.
Keywords
Cite
@article{arxiv.cond-mat/0607830,
title = {Methods to determine the Hausdorff dimension of vortex loops in the three-dimensional XY model},
author = {M. Camarda and F. Siringo and R. Pucci and A. Sudbo and J. Hove},
journal= {arXiv preprint arXiv:cond-mat/0607830},
year = {2007}
}
Comments
To appear in Phys. Rev. B