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 $\bar{\nu }=3/5$ 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.

5 pages, 4 figures

References in corpus (6)

• An extended massless phase and the Haldane phase in a spin-1 isotropic antiferromagnetic chain
• Kac-Moody Symmetries of Critical Ground States
• Kosterlitz-Thouless transition of quantum XY model in two dimensions
• Universal Jump in the Helicity Modulus of the Two-Dimensional Quantum XY Model
• Critical and off-critical studies of the Baxter-Wu model with general toroidal boundary conditions
• Effective Field Theory of Triangular-Lattice Three-Spin Interaction Model

Cited by in corpus (1)

• Critical intermediate phase and phase transitions in a triangular-lattice three-spin interaction model: Level-spectroscopy approach