Abstract
In this paper, we study the critical behavior of the three-dimensional antiferromagnetic Ising model in both uniform longitudinal (H) and transverse (Ω) magnetic fields. Using the effective field theory (EFT) with finite cluster N = 1 spin (EFT) we calculate the phase diagrams in the H–T, Ω–T and Ω–H planes for a simple cubic lattice. We have only found second-order phase transitions for all values of fields and reentrant behavior was observed at low temperature.
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