Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Edge states in trimer lattices   Topological phases of matter have attracted much attention over the years.
Motivated by analogy with photonic lattices, here we examine the edge states of
a one-dimensional trimer lattice in the phases with and without inversion
symmetry protection. In contrast to the Su-Schrieffer-Heeger model, we show
that the edge states in the inversion-symmetry broken phase of the trimer model
turn out to be chiral, i.e., instead of appearing in pairs localized at
opposite edges they can appear at a $\textit{single}$ edge. Interestingly,
these chiral edge states remain robust to large amounts of disorder. In
addition, we use the Zak phase to characterize the emergence of degenerate edge
states in the inversion-symmetric phase of the trimer model. Furthermore, we
capture the essentials of the whole family of trimers through a mapping onto
the commensurate off-diagonal Aubry-Andr\'e-Harper model, which allow us to
establish a direct connection between chiral edge modes in the two models,
including the calculation of Chern numbers. We thus suggest that the chiral
edge modes of the trimer lattice have a topological origin inherited from this
effective mapping. Also, we find a nontrivial connection between the
topological phase transition point in the trimer lattice and the one in its
associated two-dimensional parent system, in agreement with results in the
context of Thouless pumping in photonic lattices.

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The categories of this paper are: stat
0
The categories of this paper are: hep-ph
25
The categories of this paper are: patt-sol
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The categories of this paper are: q-fin
19
The categories of this paper are: eess
8
The categories of this paper are: hep-ex
27
The categories of this paper are: comp-gas
20
The categories of this paper are: acc-phys
31
The categories of this paper are: ao-sci
15
The categories of this paper are: nucl-ex
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The categories of this paper are: econ
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The categories of this paper are: q-bio
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The categories of this paper are: supr-con
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The categories of this paper are: funct-an
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The categories of this paper are: mtrl-th
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The categories of this paper are: solv-int