Correlation length in a generalized two-dimensional XY model

The measurements of the magnetic and nematic correlation lengths in a generalization of the two-dimensional XY model on the square lattice are presented using classical Monte Carlo simulation. The full phase diagram is reexamined based on these correlation lengths, demonstrating their power in study...

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Bibliographic Details
Published in:Physical review. B 2018-10, Vol.98 (14), p.144421, Article 144421
Main Authors: Nui, Duong Xuan, Tuan, Le, Trung Kien, Nguyen Duc, Huy, Pham Thanh, Dang, Hung T., Viet, Dao Xuan
Format: Article
Language:English
Subjects:
Computer simulation
Ising model
Monte Carlo simulation
Phase diagrams
Phase transitions
Two dimensional models
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Summary:The measurements of the magnetic and nematic correlation lengths in a generalization of the two-dimensional XY model on the square lattice are presented using classical Monte Carlo simulation. The full phase diagram is reexamined based on these correlation lengths, demonstrating their power in studying generalized XY models. The ratio between the correlation length and the lattice size has distinctive behaviors which can be used to distinguish different types of phase transition. More importantly, the magnetic correlation length give more insights into the tricritical region where the paramagnetic, nematic, and quasi-long-range phases meet. It shows signatures for the intermediate region starting from the tricritical point, where the transition line is neither of the same physics as the Ising transition below nor the Berezinskii-Kosterlitz-Thouless transition far above the tricritical point.
ISSN:2469-9950
2469-9969
DOI:10.1103/PhysRevB.98.144421