Berezinskii-Kosterlitz-Thouless transition on regular and Villain types of $q$-state clock models

Tasrief Surungan, Shunsuke Masuda, Yukihiro Komura +1

We study $q$-state clock models of regular and Villain types with $q=5,6$ using cluster-spin updates and observed double transitions in each model. We calculate the correlation rat…