Summary

We have simulated the magnetisation reversal in conical samples, and five separate remanent states -- single-domain in $x$, single-domain in $z$, out-of-plane vortex, buckle and C-state -- have been observed.

By analysing the remanent magnetisation configuration for a series of simulations, we have created a phase diagram showing these results. The dynamics of the magnetisation reversal are more complicated to classify and describe.

We have investigated and presented in more detail the magnetisation reversal of larger cones (height greater than 70nm and diameter greater than 50nm) and find that for parts of the hysteresis loop, two coexisting vortices can be found in the magnetisation (with cores pointing in approximately perpendicular directions).