Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Jahn-Teller effect and spin--orbit coupling: friends or foes?   The Jahn-Teller effect is one of the most fundamental phenomena important not
only for physics, but also for chemistry and material science. Solving the
Jahn-Teller problem and taking into account strong electron correlations we
show that quantum entanglement of the spin and orbital degrees of freedom via
spin--orbit coupling strongly affects this effect. Depending on the number of
$d$ electrons it may quench (electronic configurations $t_{2g}^2$, $t_{2g}^4$,
and $t_{2g}^5$), partially suppress ($t_{2g}^1$) or in contrast induce
($t_{2g}^3$) Jahn-Teller distortions. Moreover, in certain situations,
interplay between the Jahn-Teller effect and spin--orbit coupling promotes
formation of the "Mexican hat" energy surface facilitating various quantum
phenomena.

28
The categories of this paper are: alg-geom
14
The categories of this paper are: math-ph
10
The categories of this paper are: q-bio
34
The categories of this paper are: chem-ph
18
The categories of this paper are: econ
23
The categories of this paper are: solv-int
16
The categories of this paper are: stat
19
The categories of this paper are: eess
36
The categories of this paper are: cmp-lg
15
The categories of this paper are: nucl-ex
29
The categories of this paper are: funct-an
5
The categories of this paper are: gr-qc
8
The categories of this paper are: hep-ex
33
The categories of this paper are: plasm-ph
31
The categories of this paper are: ao-sci
21
The categories of this paper are: adap-org