English

Universal Jump in the Helicity Modulus of the Two-Dimensional Quantum XY Model

Statistical Mechanics 2009-10-30 v2

Abstract

The helicity modulus of the S=1/2 XY model is precisely estimated through a world line quantum Monte Carlo method enhanced by a cluster update algorithm. The obtained estimates for various system sizes and temperatures are well fitted by a scaling form with L replaced by \log(L/L_0), which is inferred from the solution of the Kosterlitz renormalization group equation. The validity of the Kosterlitz-Thouless theory for this model is confirmed.

Keywords

Cite

@article{arxiv.cond-mat/9702081,
  title  = {Universal Jump in the Helicity Modulus of the Two-Dimensional Quantum XY Model},
  author = {Kenji Harada and Naoki Kawashima},
  journal= {arXiv preprint arXiv:cond-mat/9702081},
  year   = {2009}
}

Comments

4 pages, 3 figures