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Issue 7, 2019
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Edge transport at the boundary between topologically equivalent lattices

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Abstract

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, time or non-time reversal symmetric. The topological nature of the edge transport is classified by a set of winding numbers around bulk fence points extended by winding numbers around edge specific bifurcation points that cannot be deduced from the two bulk lattices.

Graphical abstract: Edge transport at the boundary between topologically equivalent lattices

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Supplementary files

Article information


Submitted
02 Oct 2018
Accepted
20 Dec 2018
First published
21 Dec 2018

Soft Matter, 2019,15, 1539-1550
Article type
Paper

Edge transport at the boundary between topologically equivalent lattices

H. Massana-Cid, A. Ernst, D. de las Heras, A. Jarosz, M. Urbaniak, F. Stobiecki, A. Tomita, R. Huhnstock, I. Koch, A. Ehresmann, D. Holzinger and T. M. Fischer, Soft Matter, 2019, 15, 1539
DOI: 10.1039/C8SM02005A

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