Abstract
Monte Carlo simulations using the newly proposed Wang-Landau algorithm together with the broad histogram relation are performed to study the antiferromagnetic six-state clock model on the triangular lattice, which is fully frustrated. We confirm the existence of the magnetic ordering belonging to the Kosterlitz-Thouless (KT)-type phase transition followed by the chiral ordering which occurs at slightly higher temperature. We also observe the lower temperature phase transition of KT type due to the discrete symmetry of the clock model. By using the finite-size scaling analysis, the higher KT temperature T2 and the chiral critical temperature Tcare respectively estimated as T2 = 0.5154(8) and Tc= 0.5194(4). The results are in favour of the double transition scenario. The lower KT temperature is estimated as T1 = 0.496(2). Two decay exponents of KT transitions corresponding to the higher and lower temperatures are respectively estimated as η2 = 0.25(1) and η1 = 0.13(1), which suggests that the exponents associated with the KT transitions are universal even for the frustrated model.
| Original language | English |
|---|---|
| Pages (from-to) | 4219-4230 |
| Number of pages | 12 |
| Journal | Journal of Physics A: Mathematical and General |
| Volume | 37 |
| Issue number | 14 |
| DOIs | |
| Publication status | Published - 2004 Apr 9 |
| Externally published | Yes |
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ASJC Scopus subject areas
- Physics and Astronomy(all)
- Statistical and Nonlinear Physics
- Mathematical Physics
Cite this
Study of the fully frustrated clock model using the Wang-Landau algorithm. / Surungan, Tasrief; Okabe, Yutaka; Tomita, Yusuke.
In: Journal of Physics A: Mathematical and General, Vol. 37, No. 14, 09.04.2004, p. 4219-4230.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Study of the fully frustrated clock model using the Wang-Landau algorithm
AU - Surungan, Tasrief
AU - Okabe, Yutaka
AU - Tomita, Yusuke
PY - 2004/4/9
Y1 - 2004/4/9
N2 - Monte Carlo simulations using the newly proposed Wang-Landau algorithm together with the broad histogram relation are performed to study the antiferromagnetic six-state clock model on the triangular lattice, which is fully frustrated. We confirm the existence of the magnetic ordering belonging to the Kosterlitz-Thouless (KT)-type phase transition followed by the chiral ordering which occurs at slightly higher temperature. We also observe the lower temperature phase transition of KT type due to the discrete symmetry of the clock model. By using the finite-size scaling analysis, the higher KT temperature T2 and the chiral critical temperature Tcare respectively estimated as T2 = 0.5154(8) and Tc= 0.5194(4). The results are in favour of the double transition scenario. The lower KT temperature is estimated as T1 = 0.496(2). Two decay exponents of KT transitions corresponding to the higher and lower temperatures are respectively estimated as η2 = 0.25(1) and η1 = 0.13(1), which suggests that the exponents associated with the KT transitions are universal even for the frustrated model.
AB - Monte Carlo simulations using the newly proposed Wang-Landau algorithm together with the broad histogram relation are performed to study the antiferromagnetic six-state clock model on the triangular lattice, which is fully frustrated. We confirm the existence of the magnetic ordering belonging to the Kosterlitz-Thouless (KT)-type phase transition followed by the chiral ordering which occurs at slightly higher temperature. We also observe the lower temperature phase transition of KT type due to the discrete symmetry of the clock model. By using the finite-size scaling analysis, the higher KT temperature T2 and the chiral critical temperature Tcare respectively estimated as T2 = 0.5154(8) and Tc= 0.5194(4). The results are in favour of the double transition scenario. The lower KT temperature is estimated as T1 = 0.496(2). Two decay exponents of KT transitions corresponding to the higher and lower temperatures are respectively estimated as η2 = 0.25(1) and η1 = 0.13(1), which suggests that the exponents associated with the KT transitions are universal even for the frustrated model.
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U2 - 10.1088/0305-4470/37/14/003
DO - 10.1088/0305-4470/37/14/003
M3 - Article
VL - 37
SP - 4219
EP - 4230
JO - Journal of Physics A: Mathematical and Theoretical
JF - Journal of Physics A: Mathematical and Theoretical
SN - 1751-8113
IS - 14
ER -