Abstract
We will study phase diagram the quantum spin-1/2 anisotropic Heisenberg antiferromagnet model in the presence of a Dzyaloshinskii–Moriya interaction (D) and a uniform longitudinal (H) magnetic field, where we have observed an anomaly at low temperatures. Using the effective-field theory with a finite cluster N=2 spin (EFT-2) we calculate the phase diagram in the H–D plane on a simple cubic lattice (z=6). We analyzed the cases: anisotropic Heisenberg – case I: (Δ=1), anisotropic Heisenberg – case II: (Δ=0.5) and anisotropic Heisenberg – case III: (Δ=0), where only second order phase transitions are observed.
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