title: Finite-size-scaling ansatz for the helicity modulus of the triangular-lattice three-spin interaction model.
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 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.
authors.affiliation: Department of Physics, Tokyo Metropolitan University, Tokyo, Japan.
authors.forename: Hiromi
authors.initials: H
authors.lastname: Otsuka