Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Topological insulators in twisted transition metal dichalcogenide
  homobilayers   We show that moir\'e bands of twisted homobilayers can be topologically
nontrivial, and illustrate the tendency by studying valence band states in $\pm
K$ valleys of twisted bilayer transition metal dichalcogenides, in particular,
bilayer MoTe$_2$. Because of the large spin-orbit splitting at the monolayer
valence band maxima, the low energy valence states of the twisted bilayer
MoTe$_2$ at $+K$ ($-K$) valley can be described using a two-band model with a
layer-pseudospin magnetic field $\boldsymbol{\Delta}(\boldsymbol{r})$ that has
the moir\'e period. We show that $\boldsymbol{\Delta}(\boldsymbol{r})$ has a
topologically non-trivial skyrmion lattice texture in real space, and that the
topmost moir\'e valence bands provide a realization of the Kane-Mele quantum
spin-Hall model, i.e., the two-dimensional time-reversal-invariant topological
insulator. Because the bands narrow at small twist angles, a rich set of broken
symmetry insulating states can occur at integer numbers of electrons per
moir\'e cell.

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The categories of this paper are: dg-ga
19
The categories of this paper are: eess
22
The categories of this paper are: chao-dyn
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The categories of this paper are: adap-org
23
The categories of this paper are: solv-int
8
The categories of this paper are: hep-ex
16
The categories of this paper are: stat
35
The categories of this paper are: mtrl-th
27
The categories of this paper are: comp-gas
15
The categories of this paper are: nucl-ex
1
The categories of this paper are: cs
2
The categories of this paper are: math
9
The categories of this paper are: nlin
3
The categories of this paper are: physics
33
The categories of this paper are: plasm-ph
10
The categories of this paper are: q-bio