Eliminating leading and subleading corrections to scaling in the three-dimensional XY universality class
We study the (𝑞+1)-state clock model on the simple cubic lattice by using Monte Carlo simulations. In addition to the nearest-neighbor coupling we consider a next-to-next-to-nearest-neighbor coupling. For a certain range of the parameters, the phase transition of the model shares the XY universality...
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| Main Author: | |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
14 November 2025
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| In: |
Physical review
Year: 2025, Volume: 112, Issue: 18, Pages: 1-18 |
| ISSN: | 2469-9969 |
| DOI: | 10.1103/1d4g-483z |
| Online Access: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1103/1d4g-483z Verlag, lizenzpflichtig, Volltext: https://link.aps.org/doi/10.1103/1d4g-483z 
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| Author Notes: | Martin Hasenbusch |
| Summary: | We study the (𝑞+1)-state clock model on the simple cubic lattice by using Monte Carlo simulations. In addition to the nearest-neighbor coupling we consider a next-to-next-to-nearest-neighbor coupling. For a certain range of the parameters, the phase transition of the model shares the XY universality class. Leading corrections to scaling are studied by using finite-size scaling of dimensionless quantities, such as the Binder cumulant 𝑈4. The spatial unisotropy, which causes subleading corrections, is studied by computing the exponential correlation length 𝜉exp in the high-temperature phase for different directions. In the case of the 𝑞-state clock model it turns out that by tuning the ratio of the two coupling constants, we can eliminate either leading or subleading corrections to scaling. These points on the critical line are close to each other. Hence in the improved model, where leading corrections to scaling vanish, also subleading corrections are small. By using a finite-size scaling analysis of our high statistics data we obtain 𝜂=0.03816(2) and 𝑦𝑡=1/𝜈=1.48872(5) as estimates of the critical exponents. |
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| Item Description: | Gesehen am 24.02.2026 |
| Physical Description: | Online Resource |
| ISSN: | 2469-9969 |
| DOI: | 10.1103/1d4g-483z |