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MIRANDA, M. M. J. Bond dilution induced random-field mechanism in a frustrated Heisenberg model. 2020. 67p. Dissertação (Mestrado em Ciências) Instituto de Física de São Carlos, Universidade de São Paulo, São Carlos, 2020. We investigated the effects of nearest neighbors bond dilution in the classical Heisenberg model with nearest (J1) and next-nearest (J2) neighbors on the square lattice. Mostly using Monte Carlo techniques, the fate of the Ising-like transition of the pure system and the associate long range order, were studied. First, we show that the dilution of vertical and horizontal bonds works as a local field which favors one of the two states of the Z2 symmetry, which had arisen from the order-by-disorder mechanism. Next we study the system with only vertical bond dilution. From our simulations, it is clear that the phase transition is destroyed, however, the long range order was preserved due the non-zero mean of the local random field. We also investigated the system under the same concentration of vertical and horizontal bond dilution. In this case, our results shows the destruction of the phase transition as well as any type of long range order due the random-field mechanism.

Mecanismo de campo-aleatório induzido por diluição de acoplamentos em um modelo de Heisenberg frustrado