ON THE SPIN EXCITATIONS IN THE CLASSICAL CONTINUUM HEISENBERG ANTIFERROMAGNETIC SPIN SYSTEMS

We investigate spin excitations in classical continuum Heisenberg antiferromagnetic spin systems in both low (one) and higher (two and three) dimensions at different levels of continuum approximation. The spin excitations in one-dimensional anisotropic chains, when the adjacent spins are locked antiparallel, are found during evolution to reduce under appropriate limits to that of isotropic chains reported earlier. For isotropic systems, we unlock the adjacent spins and stereographically project the unit spheres of spins onto complex planes and investigate the underlying spin excitations in the new variable. Both in the case of one-dimensional chains and in higher dimensional antiferromagnets we obtain a class of static planar configurations.