Frustração magnética em um modelo de ising triangular com anisotropia rotacional
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2020-03-16
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Universidade Federal de Goiás
Resumo
In this work, we present a new model for the study of frustrated magnetic systems proposed
for a triangular lattice equipped with Ising type spins that takes into account not only
the interaction between the spins but also the interaction due to the symmetry of a given
substrate that corresponds to a host lattice of the magnetic system. This last interaction
is related to a phenomenological parameter that is responsible for controlling the intensity
of this interaction and that is proportional to a function representative of the symmetry
of the host material in question. The interest behind this study seeks to characterize the
influence of this interaction on the behavior of the spins through the evaluation of their
main thermodynamic properties associated with a phase transition that imply a new way of
modeling these systems pointing to a complementary view of what can promote frustration
in magnetic systems in general. For the development of this research, we adopted entropic
sampling simulations based on the Wang-Landau method, where a random walk in the
energy space is performed, allowing to estimate the density of states g(E) while the energy
distribution is generated in the histogram. Through this methodology, we calculated some
thermodynamic properties of interest and managed to represent a phase diagram that
illustrates the various forms that the system takes in function of a control parameter that
is responsible for adjusting the different magnetic phases of the model. We also adopted
the finite-size scale theory that allowed us to estimate the critical exponents corresponding
to a certain class of universality that the system may belong to. As a result of this, we
were able to establish the proper conclusions regarding the dynamics of the system and
we became able to formulate the possible developments resulting from this work.
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NASCIMENTO, R. M. L. Frustração magnética em um modelo de Ising triangular com anisotropia rotacional. 2020. 48 f. Dissertação (Mestrado em Física) - Universidade Federal de Goiás, Goiânia, 2020.