Spin structure and spin magnetic susceptibility of two-dimensional Wigner clusters

Spin states of two-dimensional Wigner clusters are considered at low temperatures, when all electrons are in ground coordinate states. It is assumed that the behavior of the spin subsystem is determined by antiferromagnetic exchange integrals. The spin states in such a system in the presence and without a magnetic field are described in terms of the Ising model. The spin structure, correlation function, and magnetic susceptibility of the cluster are found by computer simulations. It is shown that the spin susceptibility experiences oscillations in the magnetic field, owing to the magnetically induced rearrangements of the spin subsystem.