Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Exact results relating spin-orbit interactions in two dimensional
  strongly correlated systems   A 2D square, two-bands, strongly correlated and non-integrable system is
analysed exactly in the presence of many-body spin-orbit interactions via the
method of Positive Semidefinite Operators. The deduced exact ground states in
the high concentration limit are strongly entangled, and given by the
spin-orbit coupling are ferromagnetic and present an enhanced carrier mobility,
which substantially differs for different spin projections. The described state
emerges in a restricted parameter space region, which however is clearly
accessible experimentally. The exact solutions are provided via the solution of
a matching system of equations containing 74 coupled, non-linear and complex
algebraic equations. In our knowledge, other exact results for 2D interacting
systems with spin-orbit interactions are not present in the literature.

31
The categories of this paper are: ao-sci
25
The categories of this paper are: patt-sol
21
The categories of this paper are: adap-org
16
The categories of this paper are: stat
36
The categories of this paper are: cmp-lg
8
The categories of this paper are: hep-ex
19
The categories of this paper are: eess
29
The categories of this paper are: funct-an
15
The categories of this paper are: nucl-ex
3
The categories of this paper are: physics
23
The categories of this paper are: solv-int
30
The categories of this paper are: q-alg
6
The categories of this paper are: astro-ph
37
The categories of this paper are: supr-con
32
The categories of this paper are: atom-ph
13
The categories of this paper are: quant-ph