Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Extended Creutz ladder with spin-orbit coupling: a one-dimensional
  analog of the Kane-Mele model   We construct a topological ladder model, one-dimensional, following the steps
which lead to the Kane-Mele model in two dimensions. Starting with a Creutz
ladder we modify it so that the gap closure points can occur at either $k = \pi
/ 2$ or $-\pi/2$. We then couple two such models, one for each spin channel, in
such a way that time-reversal invariance is restored. We also add a Rashba
spin-orbit coupling term. The model falls in the CII symmetry class. We derive
the relevant $2\mathbb{Z}$ topological index, calculate the phase diagram and
demonstrate the existence of edge states. We also give the thermodynamic
derivation of the quantum spin Hall conductance (St\v{r}eda-Widom). Approximate
implementation of this result indicates that this quantity is sensitive to the
topological behavior of the model.

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The categories of this paper are: atom-ph
27
The categories of this paper are: comp-gas
35
The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
24
The categories of this paper are: dg-ga
36
The categories of this paper are: cmp-lg
5
The categories of this paper are: gr-qc
15
The categories of this paper are: nucl-ex
21
The categories of this paper are: adap-org
22
The categories of this paper are: chao-dyn
17
The categories of this paper are: q-fin
1
The categories of this paper are: cs
9
The categories of this paper are: nlin
31
The categories of this paper are: ao-sci
26
The categories of this paper are: bayes-an
20
The categories of this paper are: acc-phys