Critical properties of the three-dimensional frustrated Heisenberg model on a layered-triangular lattice with variable interplane exchange interaction

Abstract

The critical properties of three-dimensional (3D) frustrated Heisenberg model on a layered-triangular lattice with variable interplane exchange interaction are investigated by the replica Monte Carlo method. The static magnetic and chiral critical exponents of heat capacity $\ensuremath{\alpha}=0.26(3)$, susceptibility $\ensuremath{\gamma}=1.23(4)$, ${\ensuremath{\gamma}}_{k}=0.87(5)$, magnetization $\ensuremath{\beta}=0.26(1)$, ${\ensuremath{\beta}}_{k}=0.43(2)$, and correlation length $\ensuremath{\nu}=0.59(2)$, ${\ensuremath{\nu}}_{k}=0.59(2)$, as well as the Fisher exponent $\ensuremath{\eta}=\ensuremath{-}0.09(3)$, are calculated by means of the finite-size scaling theory. Another universality class of the critical behavior is shown to be formed by the 3D frustrated Heisenberg model on a layered-triangular lattice. The universality class of the critical behavior of this model is revealed to remain within the limits of values of interplane ${J}^{\ensuremath{'}}$ and intraplane $J$ exchange interaction $R=\ensuremath{\mid}{J}^{\ensuremath{'}}∕J\ensuremath{\mid}=0.075--1.0$.