Study the Stability of 360-Degree Transverse Domain-Wall in a Magnetic Wire

Using the collective coordinates method(CCM), we analytically study how the combination of two180-degree transverse domain walls(TDWs) become to one 360-degree transverse domain wall. The CCM was developed in the 1970s with the aim of quantization of soliton systems in quantum field theory [1]. It is a one-dimension-variational approximation method which is well done qualitatively in the magnetic nanowire system. In this study, we want to explain why the combination of two different chirality of 180-degree DWs will be annihilated or preserved leading to the 360-degree DW. In the latter case, we investigated the distance and the stability of the two 180-degree DWs and went on to analyse the affection of each force. These results are consistent with former simulation [2]. This study hopes to assist the understanding the mechanism of the magnetic DW storage devices.