Abstract
The Ising model on a decorated square lattice with various parameters of exchange interactions in an external magnetic field is studied. A comparison is made with the numerical results obtained for the Ising model on a simple square lattice. It is shown that, if the magnetization increases with increasing field as in an antiferromagnet, then the initial phase transition point gradually decreases, reaching zero when the first frustration field is reached, and, with a further increase in the field, the phase transition does not occur. If the magnetization increases as in a ferromagnet, the phase transition disappears immediately after switching on the field; i.e., an arbitrarily small magnetic field completely suppresses the phase transition.
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