Monte Carlo study of half-magnetization plateau and magnetic phase diagram in pyrochlore antiferromagnetic Heisenberg model

Abstract

The antiferromagnetic Heisenberg model on a pyrochlore lattice under external magnetic field is studied by classical Monte Carlo simulation. The model includes bilinear and biquadratic interactions; the latter effectively describes the coupling to lattice distortions. The magnetization process shows a half-magnetization plateau at low temperatures, accompanied with strong suppression of the magnetic susceptibility. Temperature dependence of the plateau behavior is clarified. Finite-temperature phase diagram under the magnetic field is determined. The results are compared with recent experimental results in chromium spinel oxides.

arXiv comment6 pages, 4 figures, proceedings submitted to MISM2005

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• Spin-glass transition in bond-disordered Heisenberg antiferromagnets coupled with local lattice distortions on a pyrochlore lattice
• Ground-state selection and spin-liquid behaviour in the classical Heisenberg model on the breathing pyrochlore lattice
• Molecular spin-orbit excitations in the J_eff = 1/2 frustrated spinel GeCo${}_2$O${}_4$
• Novel Magnetic Phases Revealed by Ultra-High Magnetic Field in the Frustrated Magnet ZnCr2O4
• Competition between supersolid phases and magnetisation plateaux in the frustrated easy-axis antiferromagnet on a triangular lattice
• Degenerate perturbation theory of quantum fluctuations in a pyrochlore antiferromagnet
• Method for Estimating Spin-Spin Interactions from Magnetization Curves
• Spin ordering induced by lattice distortions in classical Heisenberg antiferromagnets on the breathing pyrochlore lattice
• Magnetization process of the breathing pyrochlore magnet CuInCr${}_4$S${}_8$ in ultra-high magnetic fields up to 150 T
• Spin-lattice-coupled order in Heisenberg antiferromagnets on the pyrochlore lattice
• Molecular spin-liquid state in spin-3/2 frustrated spinel HgCr${}_2$O${}_4$
• Negative thermal expansion in the plateau state of a magnetically-frustrated spinel
• Structural instability of two- and three-dimensional pyrochlore spin lattices in high magnetic fields
• Effects of spin-lattice coupling and a magnetic field in classical Heisenberg antiferromagnets on the breathing pyrochlore lattice
• Novel quantum phase of the chromium spinel oxide HgCr${}_2$O${}_4$ in high magnetic fields
• Half-magnetization plateaux in Cr spinels
• Optical detection of magnetic orders in HgCr${}_2$O${}_4$ frustrated spin magnet under pulsed high magnetic fields
• Order, Disorder and Monopole Confinement in the Spin-$1/2$ XXZ Model on a Pyrochlore Tube
• Reminiscence of a magnetization plateau in a magnetization processes of toy-model triangular and tetrahedral clusters