Abstract
An Ising system with axially long range antiferromagnetic interaction is discussed. A ferromagnetic nearest neighbor interaction exists in the plane perpendicular to the axis. This system exhibits a devil's staircase phenomenon in the ground state; the magnetization changes in a rather strange way with external magnetic field. It is shown using a mean field approximation that, at finite temperatures, this system exhibits also a curious magnetization curve and some other interesting phenomena. However, the devil's staircase structure is destroyed by thermal fluctuation. A finite temperature phase diagram, which is composed of many phases, is also given.
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