TY - JOUR
T1 - Magnetic Phase Diagram of the Ising Model on a Triangular Lattice with Antiferromagnetic Nearest-Neighbor and Next-Nearest-Neighbor Interactions
AU - Takasaki, Koichi
AU - Harada, Isao
AU - Tonegawa, Takashi
PY - 1986/12
Y1 - 1986/12
N2 - The temperature versus magnetic field phase diagram of the Ising model on a two-dimensional triangular lattice with nearest-neighbor and next-nearest-neighbor interactions is calculated by using the interface method of Müller-Hartmann and Zittartz. Both interactions are assumed to be antiferromagnetic, while the interaction ratio assumes arbitrary positive values. The resulting phase diagrams contain correctly various commensurate phases obtained in the ground state analysis. It is found that no commensurate phase is stable down to zero temperature at certain critical fields. This is explained as a consequence of the geometrical nature of the spin structures of two adjacent commensurate phases. For certain values of the interaction ratio, the phase diagrams are compared favorably with the Monte Carlo results obtained by Saito.
AB - The temperature versus magnetic field phase diagram of the Ising model on a two-dimensional triangular lattice with nearest-neighbor and next-nearest-neighbor interactions is calculated by using the interface method of Müller-Hartmann and Zittartz. Both interactions are assumed to be antiferromagnetic, while the interaction ratio assumes arbitrary positive values. The resulting phase diagrams contain correctly various commensurate phases obtained in the ground state analysis. It is found that no commensurate phase is stable down to zero temperature at certain critical fields. This is explained as a consequence of the geometrical nature of the spin structures of two adjacent commensurate phases. For certain values of the interaction ratio, the phase diagrams are compared favorably with the Monte Carlo results obtained by Saito.
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U2 - 10.1143/JPSJ.55.4423
DO - 10.1143/JPSJ.55.4423
M3 - Article
AN - SCOPUS:0342616556
VL - 55
SP - 4423
EP - 4434
JO - Journal of the Physical Society of Japan
JF - Journal of the Physical Society of Japan
SN - 0031-9015
IS - 12
ER -