Hexagonal-close-packed lattice: Ground state and phase transition.

Laboratoire de Physique Théorique et Modélisation, Université de Cergy-Pontoise, CNRS, UMR 8089 and 2, Avenue Adolphe Chauvin, F-95302 Cergy-Pontoise Cedex, France. danh-tai.hoang@u-cergy.fr

Physical review. E, Statistical, nonlinear, and soft matter physics 2012 Apr

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We study the ground state (GS) and the phase transition in a hexagonal-close-packed lattice with both XY and Ising models by using extensive Monte Carlo simulation. We suppose the in-plane interaction J1 and interplane interaction J2, both antiferromagnetic. The system is frustrated with two kinds of GS configuration below and above a critical value of η=J1/J2 (ηc). For the Ising case, one has ηc=0.5 which separates in-plane ferromagnetic and antiferromagnetic states, while for the XY case ηc=1/3 separates the collinear and noncollinear spin configurations. The phase transition is shown to be of first (second) order for η>(<)ηc. The phase diagram in the space (η,T) is shown for both cases.

Citation

Danh-Tai Hoang, H T Diep. Hexagonal-close-packed lattice: Ground state and phase transition. Physical review. E, Statistical, nonlinear, and soft matter physics. 2012 Apr;85(4 Pt 1):041107