[Wien] Orbital character
Lukasz Plucinski
pluto at physics.ucdavis.edu
Sun Oct 25 12:41:44 CET 2009
Dear Wien Experts,
In my Fe(001) spin-polarized 30 atom slab calculations (no spin-orbit) I
only have access to the sum of DXZ+DYZ band character (case.qtldn), but
not separately to the DXZ and DYZ:
JATOM 1 MULT= 1 ISPLIT=-2 tot,0,1,PZ,PX+PY,2,DZ2,DXY,DX2Y2,DXZ+DYZ,3
JATOM 2 MULT= 1 ISPLIT=-2 tot,0,1,PZ,PX+PY,2,DZ2,DXY,DX2Y2,DXZ+DYZ,3
...
JATOM 30 MULT= 1 ISPLIT=-2 tot,0,1,PZ,PX+PY,2,DZ2,DXY,DX2Y2,DXZ+DYZ,3
This suggests that for each eigenvalue DXZ and DYZ is always degenerate
and hybridized, i.e. each electron (e.g. in eigenvalue- and k-resolved
charge density) will choose 50% mixture of DXZ with DYZ. e.g. each
charge profile would be totally fourfold.
At Gamma-point DXZ and DYZ are equivalent, however, choosing k-points
away from Gamma, along X<100> or Y <010> seems to lift this equivalence.
It is possible that for k-values away from Gamma e.g. along <100> line
electrons have eg. distinct DXZ character, with no (or little) DYZ ?
My charge density profiles for the minority surface state along Gamma-X
suggest that each single electron has a totally fourfold character --
e.g. its 50% mixture of DXZ and DYZ, but I am not sure this is correct.
Any comment would be appreciated. Maybe there are some general symmetry
rules which govern this situation ?
Regards,
Lukasz
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