Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Characterization of topological insulators based on the electronic
  polarization with spiral boundary conditions   We introduce the electronic polarization originally defined in
one-dimensional lattice systems to characterize two-dimensional topological
insulators. The main idea is to use spiral boundary conditions which sweep all
lattice sites in one-dimensional order. We find that the sign of the
polarization changes at topological transition points of the two-dimensional
Wilson-Dirac model (the lattice version of the Bernevig-Hughes-Zhang model) in
the same way as in one-dimensional systems. Thus the polarization plays the
role of "order parameter" to characterize the topological insulating state and
enables us to study topological phases in different dimensions in a unified
way.

16
The categories of this paper are: stat
22
The categories of this paper are: chao-dyn
0
The categories of this paper are: hep-ph
23
The categories of this paper are: solv-int
25
The categories of this paper are: patt-sol
35
The categories of this paper are: mtrl-th
13
The categories of this paper are: quant-ph
30
The categories of this paper are: q-alg
31
The categories of this paper are: ao-sci
20
The categories of this paper are: acc-phys
2
The categories of this paper are: math
27
The categories of this paper are: comp-gas
15
The categories of this paper are: nucl-ex
9
The categories of this paper are: nlin
28
The categories of this paper are: alg-geom
3
The categories of this paper are: physics