Phase diagrams and ground-state structures of the Potts model on a triangular lattice

We have carried out Monte Carlo investigations of the phase transitions and ground-state magnetic structures in two-dimensional compounds described by the Potts model on a triangular lattice. Ground-state magnetic structures versus the ratio of next-nearest and nearest-neighbor exchange interactions...

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Bibliographic Details
Published in:Physica A 2019-05, Vol.521, p.543-550
Main Authors: Ramazanov, M.K., Murtazaev, A.K., Magomedov, M.A.
Format: Article
Language:English
Subjects:
Frustration
Monte Carlo method
Phase transitions
Potts model
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Summary:We have carried out Monte Carlo investigations of the phase transitions and ground-state magnetic structures in two-dimensional compounds described by the Potts model on a triangular lattice. Ground-state magnetic structures versus the ratio of next-nearest and nearest-neighbor exchange interactions J2∕J1 have been obtained. The frustrated areas have been revealed on the phase diagrams plotted for the dependence of the critical temperature on a value of next-nearest neighbor interactions. A phase transition order has been determined for considered values of J2∕J1. •A two-dimensional Potts model with competing interactions are investigated.•The magnetic structures of the ground-state for considered model are obtained.•The phase diagram is plotted.•The frustrated areas have been revealed on the phase diagrams plotted.
ISSN:0378-4371
1873-2119
DOI:10.1016/j.physa.2019.01.116