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Spin states of two-dimensional Wigner clusters are considered at lowtemperatures, when all electrons are in ground coordinate states. The spinsubsystem behavior is determined by antiferromagnetic exchange integrals. Thespin states in such a system in the presence of a magnetic field are describedin terms of the Ising model. The spin structure, correlation function, andmagnetic susceptibility of the cluster are found by computer simulations. It isshown that the spin susceptibility experiences oscillations with respect to themagnetic field, owing to the magnetoinduced spin subsystem rearrangements.

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