Existence of a compensation temperature of a mixed spin-2 and spin-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mfrac><mml:mrow><mml:mn>5</mml:mn></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:mfrac></mml:math>Ising ferrimagnetic system on a layered honeycomb lattice

The magnetic properties of a mixed spin-2 and spin-$\frac{5}{2}$ Ising ferrimagnetic system on a layered honeycomb lattice are studied. In particular we investigate the effect of a single-ion anisotropy and an interlayer interaction on the compensation phenomenon, in order to clarify the characteristic features observed in a series of molecular-based magnets $A{\mathrm{Fe}}^{\mathrm{II}}{\mathrm{Fe}}^{\mathrm{III}}$ $({\mathrm{C}}_{2}{\mathrm{O}}_{4}{)}_{3}[A=\mathrm{N}(n\ensuremath{-}{\mathrm{C}}_{n}{\mathrm{H}}_{2n+1}{)}_{4},$ $n=3--5].$ We carried out Monte Carlo simulations and found that an interlayer interaction plays one of the roles for the existence of a compensation point. It is pointed out that a compensation point may be possible even if interlayer interactions are zero, provided there are other longer-range interactions.