The left panel is divided into 4-panels(2x2):
Panel Top-Left: The plot of X Magnetization along the horizontal axis and the driving field angle [ϕ(H)] along the vertical axis.
Panel Top-Right: The direction of the driving field [H(cos(ϕ),sin(ϕ)] given by the green arrow. The direction of spin [cos(θ),sin(θ)] at each lattice site is given by the color corresponding to the angle (θ) on the color wheel.
Panel Bottom-Left: The plot of X Magnetization along the horizontal axis and Y Magnetization along the vertical axis.
Panel Bottom-Right: The plot of Y Magnetization along the vertical axis and the driving field angle [ϕ(H)] along the horizontal axis.
The right panel is the response spin configuration of a LxL lattice at zero temperature to the corresponding driving field for a particular disorder configuration of strength Rx (along X-axis of spin).
The rainbow coloured part is the magnetization response with a period n-times the period of the driving field, which is termed as the limit cycle.
Before reaching the limit cycle there is some transient response for almost all the different simulations which does not repeat, and they are plotted in black.
Cite this work
Researchers should cite this work as follows:
- Basak, S., Carlson, E., Dahmen, K. (2019). Period n-tupling in Uniaxial Random Field XY Magnet with rotating driving field. Purdue University Research Repository. doi:10.4231/B90H-VH37