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We investigate the triangular-lattice antiferromagnetic Ising model with aspatially anisotropic next-nearest-neighbor ferromagnetic coupling, which wasfirst discussed by Kitatani and Oguchi. By employing the effective geometricfactor, we analyze the scaling dimensions of the operators around theBerezinskii-Kosterlitz-Thouless (BKT) transition lines, and determine theglobal phase diagram. Our numerical data exhibit that two types ofBKT-transition lines separate the intermediate critical region from the orderedand disordered phases, and they do not merge into a single curve in theantiferromagnetic region. We also estimate the central charge and perform someconsistency checks among scaling dimensions in order to provide the evidence ofthe six-state clock universality. Further, we provide an analysis of the shapesof boundaries based on the crossover argument.Comment: 8 pages, 5 figure

physical review. e, statistical, nonlinear and soft matter physics

Global phase diagram and six-state clock universality behavior in the triangular antiferromagnetic Ising model with anisotropic next-nearest-neighbor coupling: Level-spectroscopy approach