English

Finite-size-scaling ansatz for the helicity modulus of the triangular-lattice three-spin interaction model

Statistical Mechanics 2008-07-22 v1

Abstract

The Berezinskii-Kosterlitz-Thouless-type continuous phase transition observed in the three-spin interaction model is discussed. The relevant field theory describes the topological defects involved and enables us to perform the renormalization-group analysis. Based on it, we shall propose the finite-size-scaling ansatz for the helicity modulus which exhibits the exponent νˉ=3/5\bar\nu=3/5 for the correlation length in the disordered phase. We perform the Monte Carlo simulations to confirm the ansatz. Also, we argue its relevance to the ground-state phase transition in the quantum spin chain.

Keywords

Cite

@article{arxiv.0807.3201,
  title  = {Finite-size-scaling ansatz for the helicity modulus of the triangular-lattice three-spin interaction model},
  author = {Hiromi Otsuka},
  journal= {arXiv preprint arXiv:0807.3201},
  year   = {2008}
}

Comments

5 pages, 4 figures

R2 v1 2026-06-21T11:02:36.392Z