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Physics Letters A

Phase diagram in the two-dimensional generalized 5-state clock model

Duong Xuan Nui, Doan Thi Thanh Phuong, Le Chi Luan, Truong Thi Bach Yen, Hoàng Xuân Tuấn Anh, Tran Truong Giang, Nguyen Duc Dung, Dao Xuan Viet

Published May 4, 2026• 0 citations
Publisher
DOI
10.1016/j.physleta.2026.131730

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From consideration of the order-parameter distribution, we propose an observable which makes a clear distinction between true and quasi-long-range orders in the two-dimensional generalized q-state clock model. Measuring this quantity by Monte Carlo simulations for q=8, we construct a phase diagram and identify critical properties across the phase-separation lines among the true long-range order, quasi-long-range order, and disorder. Our result supports the theoretical prediction that there appears a discontinuous order-disorder transition as soon as the two phase-separation lines merge.