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The parallel-tempering method has been applied to numerically study thethermodynamic behavior of a three-dimensional disordered antiferromagneticIsing model with random fields at spin concentrations corresponding to regionsof both weak and strong structural disorder. An analysis of the low-temperaturebehavior of the model convincingly shows that in the case of a weaklydisordered samples there is realized an antiferromagnetic ordered state, whilein the region of strong structural disorder the effects of random magneticfields lead to the realization of a new phase state of the system with acomplex domain structure consisting of antiferromagnetic and ferromagneticdomains separated by regions of a spin-glass phase and characterized by aspinglass ground state.

Study of the low-temperature behavior of a disordered antiferromagnet with random fields by the parallel-tempering method