Critical properties of 2D Z(N) vector models for N>4

TL;DR

This paper studies the critical behavior of 2D Z(N) vector models for N>4, identifying phase transition points, critical indices, and how these depend on N, providing insights into their phase structure.

Contribution

It determines the critical points, indices, and N-dependence of phase transitions in 2D Z(N) models for N>4, advancing understanding of their critical phenomena.

Findings

Critical points of two phase transitions identified

Critical indices calculated for N>4

Helicity modulus behavior analyzed

Abstract

We investigate the critical properties of two-dimensional Z(N) vector models for N larger than 4. In particular, critical points of the two phase transitions are located and some critical indices are determined. We study also the behavior of the helicity modulus and the dependence of the critical points on N.