Monte Carlo investigation of the critical properties of a three-dimensional frustrated Heisenberg model on a triangular lattice

The Monte Carlo replica method is used to investigate the critical properties of a three-dimensional frustrated antiferromagnetic Heisenberg model on a triangular lattice. The static magnetic and chiral critical exponents are calculated within the theory of finite-dimensional scaling: specific heat $α=0.05(2)$⁠; magnetization $β=0.30(1)$⁠, $βk=0.52(2)$⁠; susceptibility $γ=1.36(2)$⁠, $γk=0.93(3)$⁠; and, correlation radius $ν=0.64(1)$⁠, $νk=0.64(2)$⁠. The critical Fisher indices $η=−0.06(3)$ and $ηk=0.63(4)$ for this model are calculated for the first time. It is shown that the three-dimensional frustrated Heisenberg model on a triangular lattice forms a new universality class of critical behavior. It is found that the universality class of the antiferromagnetic Heisenberg model on a triangular lattice depends on the type of interlayer exchange interaction.