Detection of Berezinskii–Kosterlitz–Thouless transitions for the two-dimensional q-state clock models with neural networks

Yuan Heng Tseng, Fu Jiun Jiang*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

Using the technique of supervised neural networks (NN), we study the phase transitions of two-dimensional (2D) 6- and 8-state clock models on the square lattice. The employed NN has only one input layer, one hidden layer of 2 neurons, and one output layer. In addition, the NN is trained without using any prior information about the considered models. Interestingly, despite its simple architecture, the built supervised NN not only detects both the two Berezinskii–Kosterlitz–Thouless (BKT) transitions but also determines the transition temperatures with reasonable high accuracy. It is remarkable that an NN, which has a very simple structure and is trained without considering any input from the studied models, can be employed to study topological phase transitions. The outcomes shown here as well as those previously demonstrated in the literature suggest the feasibility of constructing a universal NN that is applicable to investigate the phase transitions of many systems.

Original languageEnglish
Article number1118
JournalEuropean Physical Journal Plus
Volume138
Issue number12
DOIs
Publication statusPublished - 2023 Dec

ASJC Scopus subject areas

  • General Physics and Astronomy
  • Fluid Flow and Transfer Processes

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