Properties of the q-state clock model for q=4, 5, and 6. Tobochnik, J. Physical Review B, 26(11):6201–6207, December, 1982. Paper doi abstract bibtex The two-dimensional clock models for q=4, 5, and 6 were simulated on lattices of size 256 and 1024. Various properties were computed including the specific heat, susceptibility, vorticity, and correlation times. However, only a Monte Carlo renormalization-group analysis was capable of locating quantitatively the phase transitions for q=5 and 6. The results agree with the qualitative picture obtained for the Villain version of the clock model. The relevance of this work to the two-dimensional melting problem is discussed. MS code no. BT2080 1977
@article{tobochnik_properties_1982,
title = {Properties of the q-state clock model for q=4, 5, and 6},
volume = {26},
url = {https://link.aps.org/doi/10.1103/PhysRevB.26.6201},
doi = {10/c2hwhs},
abstract = {The two-dimensional clock models for q=4, 5, and 6 were simulated on lattices of size 256 and 1024. Various properties were computed including the specific heat, susceptibility, vorticity, and correlation times. However, only a Monte Carlo renormalization-group analysis was capable of locating quantitatively the phase transitions for q=5 and 6. The results agree with the qualitative picture obtained for the Villain version of the clock model. The relevance of this work to the two-dimensional melting problem is discussed. MS code no. BT2080 1977},
number = {11},
urldate = {2018-11-05},
journal = {Physical Review B},
author = {Tobochnik, Jan},
month = dec,
year = {1982},
pages = {6201--6207}
}
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