Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The fundamental differences between Quantum Spin Hall edge-states at
  zig-zag and armchair terminations of honeycomb and ruby nets   Combining an analytical and numerical approach we investigate the dispersion
of the topologically protected spin-filtered edge-states of the Quantum Spin
Hall state on honeycomb and ruby nets with zigzag (ZZ) and armchair (AC) edges.
We show that the Fermi velocity of the helical edge-states on ZZ edges
increases linearly with the strength of the spin-orbit coupling (SOC) whereas
for AC edges the Fermi velocity is independent of the SOC. Also the decay
length of edge states into the bulk is dramatically different for AC and ZZ
edges, displaying an inverse functional dependence on the SOC.

15
The categories of this paper are: nucl-ex
35
The categories of this paper are: mtrl-th
27
The categories of this paper are: comp-gas
25
The categories of this paper are: patt-sol
0
The categories of this paper are: hep-ph
23
The categories of this paper are: solv-int
28
The categories of this paper are: alg-geom
17
The categories of this paper are: q-fin
21
The categories of this paper are: adap-org
37
The categories of this paper are: supr-con
22
The categories of this paper are: chao-dyn
16
The categories of this paper are: stat
13
The categories of this paper are: quant-ph
18
The categories of this paper are: econ
30
The categories of this paper are: q-alg
36
The categories of this paper are: cmp-lg