Journal of the Physical Society of Japan
Online ISSN : 1347-4073
Print ISSN : 0031-9015
ISSN-L : 0031-9015
Possibility of the Kosterlitz-Thouless Phase Transition in the Two Dimensional Fully Frustrated Ising Model
Sumiyoshi FujikiKeisei ShutohShigetoshi Katsura
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1984 年 53 巻 4 号 p. 1371-1379

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Fully frustrated Ising models on two-dimensional lattice with the first and second or third nearest neighbor interactions are studied. Original Ising spin variables are transformed into the cell spin variables, whose Hamiltonian is derived. The interaction of states and the role of excited states are discussed. Order parameters of the fully frustrated systems are proposed in a unified way. Vortex and antivortex excitations are observed by Monte Carlo simulation. Results strongly predict the Kosterlitz-Thouless phase transition in the model.
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