Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Topological and magnetic phase transition in silicene-like zigzag
  nanoribbons   Spin-orbital interactions (SOI) in silicene results in the quantum spin Hall
effect, while the Hubbard-induced Coulomb interaction in zigzag nanoribbons
often generates a band gap with the anti-ferromagnetic (AF) spin orders on two
edges. In this paper we systematically study these two joint contributions to
the zigzag silicene-like nanoribbons (zSiNR). Some topological and magnetic
phase transitions are investigated with different material parameters and
external fields. We find when the ribbon width or the SOI value exceeds some
critical value, the SOI may overcome the Coulomb interaction and the system
transits from a band insulator to a topological insulator: the
quantum-spin-Hall or the spin quantum-anomalous Hall state. We also find some
magnetic phase transition exist in the Hubbard-dominated zSiNR systems when the
exchange field or the electric field goes beyond some critical values. At last
we observe a double topological/magnetic phase transition in a
Hubbard-SOI-balanced zSiNR system before the magnetic and topological phases
are destroyed by a strong electric field.

22
The categories of this paper are: chao-dyn
34
The categories of this paper are: chem-ph
27
The categories of this paper are: comp-gas
10
The categories of this paper are: q-bio
37
The categories of this paper are: supr-con
16
The categories of this paper are: stat
6
The categories of this paper are: astro-ph
29
The categories of this paper are: funct-an
28
The categories of this paper are: alg-geom
3
The categories of this paper are: physics
11
The categories of this paper are: hep-lat
14
The categories of this paper are: math-ph
26
The categories of this paper are: bayes-an
5
The categories of this paper are: gr-qc
17
The categories of this paper are: q-fin
36
The categories of this paper are: cmp-lg