Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Effect of one-ion L-S coupling on magnetic properties of a correlated
  spin-orbit system   By introducing a basis for a novel realization of the SU(4) Lie algebra, we
exactly solve a spin-orbital chain with one-ion $L$-$S$ coupling (OILSC) via
the Bethe ansatz (BA) approach. In the context of different Land\'e $g$ factors
of the spin and orbital sectors, the OILSC results in rich and novel quantum
phase transitions. Some accurate analytical expressions for the critical fields
are obtained. Both spin ordering and orbital ordering are found in a gapped
singlet phase. The system exhibits many interesting phenomena such as
nonvanishing magnetization of the singlet phase, multi-entrance of the singlet
in the ground state when the field varies, unsymmetric magnetization in
two-component phase and magnetization crossover for different OILSC.

35
The categories of this paper are: mtrl-th
17
The categories of this paper are: q-fin
3
The categories of this paper are: physics
2
The categories of this paper are: math
25
The categories of this paper are: patt-sol
37
The categories of this paper are: supr-con
31
The categories of this paper are: ao-sci
14
The categories of this paper are: math-ph
36
The categories of this paper are: cmp-lg
22
The categories of this paper are: chao-dyn
33
The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin
12
The categories of this paper are: nucl-th
7
The categories of this paper are: hep-th
11
The categories of this paper are: hep-lat
26
The categories of this paper are: bayes-an