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Modulation of Local Magnetization in two-dimensional Axial-Next-Nearest-Neighbor Ising model

Rene Derian, Andrej Gendiar, Tomotoshi Nishino

cond-mat.stat-mecharXiv:cond-mat/0605411

Abstract

The axial next-nearest-neighbor Ising model is studied in two dimensions at finite temperature using the density matrix renormalization group. The model exhibits phase transition of the second-order between the antiphase in low temperature and the modulated phase in high temperature. Observing the domain wall free energy, we confirm that the modulation period in high-temperature side is well explained by the free-fermion picture.

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