Nature of the Phase Transition of the Two-Dimensional Antiferromagnetic Plane Rotator Model on the Triangular Lattice

A study is made on the antiferromagnetic plane rotator model on the triangular lattice by Monte Carlo simulations. In sharp contrast to the ferromagnetic case the specific heat shows a logarithmic divergence at a critical temperature and the magnetic susceptibility is almost independent of temperature over a wide temperature range. The origin of the divergent specific heat is ascribed to an order-disorder transition of chirality, which is introduced to characterize the two-fold degeneracy of the ground state. A discussion is made on the possible existence of an intermediate phase, in which the translational spin order vanishes, but the chirality order remains.

[1]  S. Miyashita A Variational Study of the Ground State of Frustrated Quantum Spin Models , 1984 .

[2]  S. Miyashita,et al.  Phase Transition of the Two-Dimensional Heisenberg Antiferromagnet on the Triangular Lattice , 1984 .

[3]  H. Takayama,et al.  Monte Carlo Study of a Triangular Ising Lattice. II. Occurrence of the Kosterlitz-Thouless-Like Phase Transition , 1983 .

[4]  S. Fujiki,et al.  Monte Carlo Simulation of the Antiferromagnetic Ising Model on the Triangular Lattice with the First and Second Neighbour Interactions , 1983 .

[5]  H. Kadowaki,et al.  Study of Frustration Effects in Two-Dimensional Triangular Lattice Antiferromagnets–Neutron Powder Diffraction Study of VX2, X≡Cl, Br and I , 1983 .

[6]  D. Landau Critical and multicritical behavior in a triangular-lattice-gas Ising model: Repulsive nearest-neighbor and attractive next-nearest-neighbor coupling , 1983 .

[7]  S. Miyashita Phase Transitions on Fully Frustrated Substrates , 1983 .

[8]  G. Chester,et al.  Monte Carlo study of the planar spin model , 1979 .

[9]  T. Ohta,et al.  XY model and the superfluid density in two dimensions , 1979 .

[10]  David R. Nelson,et al.  Dislocation-mediated melting in two dimensions , 1979 .

[11]  H. Nishimori,et al.  Monte Carlo Simulation and Static and Dynamic Critical Behavior of the Plane Rotator Model , 1978 .

[12]  Jorge V. José,et al.  Renormalization, vortices, and symmetry-breaking perturbations in the two-dimensional planar model , 1977 .

[13]  J. Villain A magnetic analogue of stereoisomerism : application to helimagnetism in two dimensions , 1977 .

[14]  M. Mekata Antiferro-Ferrimagnatic Transition in Triangular Ising Lattice , 1977 .

[15]  N. D. Mermin,et al.  Crystalline Order in Two Dimensions , 1968 .

[16]  G. Wannier,et al.  Antiferromagnetism. The Triangular Ising Net , 1950 .

[17]  C. Jayaprakash,et al.  Phase transtions in frustrated two-dimensional XY models , 1983 .