  Recent discovery of several van der waals magnetic material and moire magnet
introduce to us an extremely challenging and revolutionary era of 2D magnetism
and correlated phenomena for low dimensional material.More often the simplest
spin models which is based on inter-atomic exchange and spin-orbit
coupling(SOC) potentially able to capture and explain the critical phenomena of
extremely complicated correlated magnetic material.In this work we have
attempted to simulate 3D Heisenberg magnet using classical Monte Carlo
simulation.Our goal is to establish a new and simplest spin simulation
technique which can help us to understand those van der waals magnet from its
microscopic length scale.Here we have been proposing a completely new
methodology of classical Monte Carlo simulation of Heisenberg spin which is
based on single spin flipping Metropolis algorithm.Our state of art simulation
technique potentially able to study the phase transition of isotropic XY(O(2))
and XYZ(O(3))spin model very efficiently.With this simulation technique we
overcome the barrier of critical slowing down during the phase transition in a
effective way and able to predict the transition temperature($T_c$) very
accurately.
