Semi-vortices and cluster-vorticity: new concepts in the Berezinskii-Kosterlitz-Thouless phase transition
| Autor: | Bravo, Brandon Gómez, Hernández, Bryan D. Juárez, Bietenholz, Wolfgang |
|---|---|
| Rok vydání: | 2022 |
| Předmět: | |
| Zdroj: | Supl. Rev. Mex. Fis. 3 (2022) 020724 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.31349/SuplRevMexFis.3.020724 |
| Popis: | The Berezinskii-Kosterlitz-Thouless (BKT) essential phase transition in the 2d XY model is revisited. Its mechanism is usually described by the (un)binding of vortex--anti-vortex (V--AV) pairs, which does, however, not provide a clear-cut quantitative criterion for criticality. Known sharp criteria are the divergence of the correlation length and a discontinuity of the helicity modulus. Here we propose and probe a new criterion: it is based on the concepts of semi-vortices and cluster vorticity, which are formulated in the framework of the multi-cluster algorithm that we use to simulate the 2d XY model. Comment: 6 pages, LaTex, 7 figures, presented at the "XXXV Reuni\'{o}n Anual de la Divisi\'{o}n de Part\'{i}culas y Campos", of the "Socieded Mexicana de F\'{i}sica", 2 references added |
| Databáze: | arXiv |
| Externí odkaz: |
|