Zero-field splitting induced by Dzyaloshinskii-Moriya interactions
Posted: Thu Feb 13, 2020 3:51 am
I am trying to calculate the zfs induced by Dzyaloshinskii-Moriya interactions to the quartet state of a S=1/2 triangle, as predicted here (http://dx.doi.org/10.1021/ic701796q).
The way I have already done this for anisotropic exchange and dipolar interactions was to take the interactions in their local ij-frames, transform each one them to the molecular frame (see previous post), sum them up using Bencini-Gattechi's coefficitents ("EPR of exchange-coupled systems", p. 103), then use Matlab's
Then it is easy to calculate D end E from the matrix in the reference frame of the eigenvectors as:
For dipolar and anisotropic interactions that has worked out quite well, but for DMI interactions, the interaction matrix is antisymmetric, i.e.
For certain combinations of Gx, Gy and Gz,
The way I have already done this for anisotropic exchange and dipolar interactions was to take the interactions in their local ij-frames, transform each one them to the molecular frame (see previous post), sum them up using Bencini-Gattechi's coefficitents ("EPR of exchange-coupled systems", p. 103), then use Matlab's
eig
function to find the eigenvalues and eigenvectors of the sum matrix (let's call it D).Then it is easy to calculate D end E from the matrix in the reference frame of the eigenvectors as:
Code: Select all
Dzfs = 3*D(3,3)/2;
Ezfs = (D(1,1)-D(2,2))/2;
GG = [0 Gz -Gy; -Gz 0 Gx; Gy -Gx 0]
, and by definition has no real eigenvalues. It seems I cannot use this approach to calculate the zfs-component induced just by DMI.For certain combinations of Gx, Gy and Gz,
pepper
does give me a very nice zfs spectrum. Is there any way I can extract the respective D value?