Dynamics of exchange interactions in a One Dimensional Magnetic Quantum Dot chain

摘要

Small magnetic structures have attracted a great deal of attraction owing to their special transport and magnetic properties. In a magnetic quantum dot array, the interdot exchange interaction leads to alignment of individual magnetization. In this paper, starting from the interaction energy between the neighboring dots, we set up an equation of motion for the magnetization. We use bosonic operators combined with the Holstein- Primakoff transformations in the semiclassical limits and arrive at Nonlinear Schrodinger equation. Localized solutions called solitons are identified for the collective excitations, which could be harnessed for data transfer.