Abstract
The possibility of the existence of two different but thermodynamically equivalent ferromagnetic-like phases below the critical temperature in magnetic materials with octahedral structure is shown in the framework of an exactly solvable model with the competition between nearest-neighbor ferromagnetic and antiferromagnetic interactions on the octahedral recursive lattice. This observation offers a natural base for a fundamental theoretical explanation of the existence of anomalous wasp-waisted-like hysteresis measured in various perovskites with basic octahedral structure. Besides, it is shown that the corresponding ground states are highly macroscopically degenerated. This leads to the presence of frustration effects in the model thermodynamics in their vicinity. In this respect, the anomalous behavior of the specific heat capacity is demonstrated.
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