Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Chirality-dependent topological states in twisted double bilayer
  graphene   The properties of van der Waals (vdW) crystals and heterostructures depend
sensitively on their layer stacking configuration. The twist angle and lattice
mismatch between constituent vdW sheets have been shown to be crucial
parameters influencing the strongly correlated and topological states of matter
in moir\'e materials. Here, we demonstrate a new approach for controlling these
emergent states by altering the stacking chirality of the moir\'e structure. We
study twisted double bilayer graphene (tDBG) in an AB-BA stacking configuration
(i.e., with the component Bernal bilayers rotated by nearly 60{\deg}) and
observe topological and symmetry-broken states that are absent in AB-AB stacked
tDBG. In particular, we observe an anomalous Hall effect (AHE) at filling
factor {\nu} = 3 (i.e., 3 electrons per moir\'e cell), implying a correlated
ground state that spontaneously breaks time-reversal symmetry. In addition, at
fractional filling {\nu} = 7/2, a robust symmetry-broken Chern insulator (SBCI)
state associated with translational symmetry breaking emerges upon applying a
magnetic field, concomitant with an AHE at zero field. Our results motivate
future experiments in which the stacking chirality is employed as an important
new degree of freedom for controlling the strongly correlated and topological
phase diagram of other moir\'e materials.

14
The categories of this paper are: math-ph
30
The categories of this paper are: q-alg
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The categories of this paper are: dg-ga
7
The categories of this paper are: hep-th
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The categories of this paper are: chem-ph
33
The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin
0
The categories of this paper are: hep-ph
29
The categories of this paper are: funct-an
15
The categories of this paper are: nucl-ex
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The categories of this paper are: hep-lat
2
The categories of this paper are: math
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The categories of this paper are: bayes-an
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The categories of this paper are: nucl-th
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The categories of this paper are: stat
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The categories of this paper are: adap-org