抄録
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.