September 27, 2021 to October 1, 2021
ECT* - Trento
Europe/Rome timezone

Quantitative analysis of phase transitions in two-dimensional XY models using persistent homology

Sep 29, 2021, 4:40 PM
Aula Renzo Leonardi (ECT* - Trento)

Aula Renzo Leonardi

ECT* - Trento

Strada delle Tabarelle, 286 38123 - Villazzano (TN) Italy


Nicholas Sale (Swansea University)


In this talk I will introduce persistent homology, a tool from the emerging field of topological data analysis, and demonstrate how it can be used to produce new observables of lattice spin models. In particular, I will talk about recent work on developing a persistent homology-based methodology to extract the critical temperature and critical exponent of the correlation length of phase transitions in three variants of the two-dimensional XY model

Presentation materials