Effect Of The Uniaxial Anisotropy And The Spin Chain Length On The Conditions For The Existence Of Interface Spin Waves

In this article, based on one-dimension Heisenberg model, the unsymmetric bilayer ferromagnetic and antiferromagnetic thin films are investigated by using the interface rescaling approach under nonperiodic boundary condition. Particularly, the effect of uniaxial anisotropy and the effect of spin chain length on the conditions for the existence of interface spin waves in a biferromagjietic or biantiferromagnetic interface are discussed. We also compared our results with the previous researches. As a main conclusion, we can come to the following results: 1) Uniaxial anisotropy affects greatly the conditions for the existence of interface spin waves. Especially affects the number of interface spin waves. 2) Effects of uniaxial anisotropy on the existence conditions of interface spin waves are different from the effects of anisotropy field at the interface. 3) The spin chain length has large effect on the conditions for the existence of interface spin waves when chain length is shorter but has little effect when spin chain length is longer.