Numerical study of the phase transitions in the two-dimensional Z(5) vector model

TL;DR

This paper studies the phase transitions in the 2D Z(5) vector model using a new cluster algorithm, identifying critical points, phases, and critical indices, and comparing results with theoretical predictions.

Contribution

Introduces a new cluster algorithm for Z(N) models with odd N and applies it to analyze the critical behavior of the Z(5) model.

Findings

Identifies two phase transitions with a massless intermediate phase.

Locates critical points and measures critical indices.

Finds agreement with analytical predictions.

Abstract

We investigate the critical properties of the two-dimensional Z(5) vector model. For this purpose, we propose a new cluster algorithm, valid for Z(N) models with odd values of N. The two-dimensional Z(5) vector model is conjectured to exhibit two phase transitions with a massless intermediate phase. We locate the position of the critical points and study the critical behavior across both phase transitions in details. In particular, we determine various critical indices and compare the results with analytical predictions.