Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Influence of spin-orbit coupling on the magnetic dipole term
  $T_{\alpha}$   The influence of the spin-orbit coupling (SOC) on the magnetic dipole term
$T_{\alpha}$ is studied across a range of systems in order to check whether the
$T_{\alpha}$ term can be eliminated from analysis of x-ray magnetic circular
dichroism spectra done via the spin moment sum rule. Fully relativistic
Korringa-Kohn-Rostoker (KKR) Green function calculations for Co monolayers and
adatoms on Cu, Pd, Ag, Pt, and Au (111) surfaces were performed to verify
whether the sum over magnetic dipole terms $T_{x}+T_{y}+T_{z}$ is zero and
whether the angular dependence of the \ta\ term goes as $3\cos^{2}\theta-1$. It
follows that there are circumstances when the influence of the SOC on
$T_{\alpha}$ cannot be neglected even for 3$d$ atoms, where the SOC is
nominally small. The crucial factor appears to be the dimensionality of the
system: for 3$d$ adatoms, the influence of SOC on $T_{\alpha}$ can be
significant while for monolayers it is always practically negligible. Apart
from the dimensionality, hybridization between adatom and substrate states is
also important: small hybridization enhances the importance of the SOC and vice
versa.

3
The categories of this paper are: physics
36
The categories of this paper are: cmp-lg
29
The categories of this paper are: funct-an
23
The categories of this paper are: solv-int
26
The categories of this paper are: bayes-an
0
The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con
24
The categories of this paper are: dg-ga
13
The categories of this paper are: quant-ph
34
The categories of this paper are: chem-ph
1
The categories of this paper are: cs
5
The categories of this paper are: gr-qc
11
The categories of this paper are: hep-lat
21
The categories of this paper are: adap-org
22
The categories of this paper are: chao-dyn
10
The categories of this paper are: q-bio