Critical and reentrant behavior of the spin quantum 1/2 anisotropic Heisenberg antiferromagnet model with Dzyaloshinskii–Moriya interaction in a longitudinal magnetic field

• Published in: Journal of magnetism and magnetic materials 2014-04, Vol.355, p.235-239
• Main Authors: Parente, Walter E.F., Pacobahyba, J.T.M., Araújo, Ijanílio G., Neto, Minos A., Ricardo de Sousa, J., Akinci, Ümit
• Format: Article
• Language: English
• Subjects: Anisotropy; Clusters; Condensed matter: electronic structure, electrical, magnetic, and optical properties; Critical-point effects, specific heats, short-range order; Cubic lattice; Deltas; Dzyaloshinskii-Moriya interaction; Exact sciences and technology; General theory and models of magnetic ordering; Heisenberg antiferromagnets; Heisenberg model; Magnetic fields; Magnetic properties and materials; Magnetism; Mathematical analysis; Phase diagrams; Physics; Quantum systems; Static properties (order parameter, static susceptibility, heat capacities, critical exponents, etc.)
• ISSN: 0304-8853
• DOI: 10.1016/j.jmmm.2013.12.041

In this paper we study 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. Using the effective-field theory with a finite cluster N=2 spin (EFT-2) we calculate the phase diagrams in the H−T and D−T planes on a simple cubic lattice (z=6). We have only observed second order phase transitions for values between Δ∈[0,1], where the cases were analysed: Ising (Δ=1), anisotropic Heisenberg (Δ=0.6) and isotropic Heisenberg (Δ=0). •Anisotropic Heisenberg antiferromagnet on a simple cubic lattice.•Effective-field theory.•Dzyaloshinskii–Moriya interaction.