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Commit 37d043a

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davidcorteso
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Commented on the micromagnetic DMI convention
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fidimag/micro/dmi.py

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@@ -24,10 +24,10 @@ class DMI(Energy):
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r_ij is the vector from the i-th mesh site to the j-th
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neighbour
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interfacial :: The energy density of this DMI is (according to
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Yang's convention; PRL 115, 267210)
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interfacial :: The energy density of this DMI is, according to the
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convention of Rohart et al [PRB 88, 184422 (2013)]
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w = D * ( L(x)_zx + L(y)_zy )
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w = D * ( L_{xz}^{(x)} + L_{yz}^{(y)} )
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where L are Lifshitz invariants. This DMI is found in
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systems with their interface in contact with a heavy

fidimag/micro/lib/dmi.c

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@@ -234,9 +234,10 @@ void dmi_field_interfacial(double *m, double *field, double *energy, double *Ms_
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*
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* For the Interfacial DMI, D_{ij} has the structure: D_{ij} = r_{ij} X z
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* See Rohart et al. Phys. Rev. B 88, 184422)
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* We will use R&T's convention for the DMI sign.
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*
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* but [Yang et al. Phys. Rev. Lett. 115, 267210] uses the opposite sign.
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* We will use Yang's convention for the DMI sign.
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* Notice that in [Yang et al. Phys. Rev. Lett. 115, 267210] they use the
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* opposite sign.
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*
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* The Dzyaloshinskii vectors are IN plane. This function only works
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* along the XY plane since we assume there is a non magnetic material below
@@ -260,7 +261,7 @@ void dmi_field_interfacial(double *m, double *field, double *energy, double *Ms_
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* -y: (D / dy) * (-x X M)
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* +y (D / dy) * (+x X M)
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*
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* So, our Dzyaloshinskii vectors can be depicted in a square lattice as
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* So, our Dzyaloshinskii vectors can be depicted in the cuboid mesh as
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*
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* o +y
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* |

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