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arXiv · 0807.3201

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

Hiromi Otsuka
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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 $\barν=3/5$ 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.

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Hiromi Otsuka. 2008-07-21. Finite-size-scaling ansatz for the helicity modulus of the triangular-lattice three-spin interaction model. https://doi.org/10.1103/physreve.77.062101

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