Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Edge states at the boundary between topologically equivalent lattices   Edge currents of paramagnetic colloidal particles propagate at the edge
between two topologically equivalent magnetic lattices of different lattice
constant when the system is driven with periodic modulation loops of an
external magnetic field. The number of topologically protected particle edge
transport modes is not determined by a bulk-boundary correspondence. Instead,
we find a rich variety of edge transport modes that depend on the symmetry of
both the edge and the modulation loop. The edge transport can be ratchet-like
or adiabatic, and time or non-time reversal symmetric.

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The categories of this paper are: q-alg
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The categories of this paper are: q-bio
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The categories of this paper are: alg-geom
9
The categories of this paper are: nlin
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The categories of this paper are: dg-ga
3
The categories of this paper are: physics
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The categories of this paper are: nucl-th
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The categories of this paper are: eess
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The categories of this paper are: stat
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The categories of this paper are: funct-an
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The categories of this paper are: cmp-lg
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The categories of this paper are: plasm-ph
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The categories of this paper are: econ
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The categories of this paper are: adap-org
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The categories of this paper are: supr-con
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The categories of this paper are: chem-ph