Biaxial anisotropy Mumax3

[José Antonio Peña García]

Hello everyone,

First of all, Happy New Year!

Second, a question about Mumax. I am trying to simulate the DW dynamics of Perpendicular Magnetic system with DMI, which it also has an in-plane easy axis e.g. the z- and the x- are easy axis.

I was wondering if this can be simulated by using a cubic anisotropy but I am not sure about how to do it. Any clue?

Thanks!

Jose

[Jonathan Leliaert]

Dear Jose,

You can add biaxial anisotropy in mumax using the custom fields functionality

Please have a look at this supplementary material for an example how to do this
http://iopscience.iop.org/article/10.1088/1361-6463/aa8601/data

Kind regards,

Jonathan Leliaert

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[José Antonio Peña García]

Dear Jonathan,

Thanks for the information. I had a look, but I think that I cannot get what I am trying to do. I want to simulate an anisotropy given by:

where theta and phi are the spherical angles.

I don't see how you can get that with the custom fields functionality....

Kind regards,

Jose

[Jonathan Leliaert]

Dear Jose,

You'll need the effective field term corresponding to your energy term in order to add it in mumax.

As an example:

For the biaxial anisotropy in the example I sent you, the field corresponding to the energy density term E=Kc (u1.m)^2(u2.m)^2

is H=-2Kc/Ms [ u1(u1.m)(u2.m)^2 + u2(u2.m)(u1.m)^2].

They are related as E=-mu0 Ms (m.H)

Best wishes,

Jonathan