Journal
PHYSICAL REVIEW E
Volume 80, Issue 6, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevE.80.060101
Keywords
Ising model; Kosterlitz-Thouless transition; long-range order; Monte Carlo methods; order-disorder transformations; X-Y model
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Funding
- Swedish Research Council [621-2002-4135]
- Ministry of Education, Science, and Technology [R31-2008-000-10029-0]
- National Research Foundation of Korea [R31-2008-000-10029-0] Funding Source: Korea Institute of Science & Technology Information (KISTI), National Science & Technology Information Service (NTIS)
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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.
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