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Published on: September 5, 2017
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Edge transport at the boundary between topologically equivalent lattices
Helena Massana-Cid1, Adrian Ernst, Daniel de Las Heras
1Institute of Physics and Mathematics, Universität Bayreuth, 95440 Bayreuth, Germany. Thomas.Fischer@uni-bayreuth.de.
Soft Matter
|January 5, 2019
Summary
Edge currents of paramagnetic colloidal particles exhibit novel transport modes not predicted by bulk-boundary correspondence. Their topological nature depends on edge and modulation loop symmetries, revealing rich, tunable behaviors.
Area of Science:
- Condensed matter physics
- Soft matter physics
- Topological matter
Background:
- Topological phases of matter typically exhibit bulk-boundary correspondence, where bulk properties dictate edge states.
- Paramagnetic colloidal particles offer a tunable platform for exploring emergent topological phenomena.
Purpose of the Study:
- To investigate edge current transport in systems with topologically equivalent magnetic lattices of different constants.
- To explore the topological classification of edge transport modes beyond traditional bulk-boundary correspondence.
Main Methods:
- Driving paramagnetic colloidal particles with periodic magnetic field modulation loops.
- Analyzing edge transport phenomena using winding numbers around bulk and edge-specific points.
- Classifying topological edge transport based on symmetry and modulation loop properties.
Main Results:
- Discovered edge currents propagating between magnetic lattices of different constants.
- Demonstrated that edge transport modes are not solely determined by bulk-boundary correspondence.
- Identified a rich variety of edge transport modes (ratchet-like, adiabatic, time/non-time reversal symmetric) dependent on edge and modulation loop symmetries.
Conclusions:
- The topological nature of edge transport in this system is governed by a combination of bulk and edge-specific topological invariants.
- Symmetry of the edge and modulation loop are crucial for determining the number and type of topological edge transport modes.
- This work expands the understanding of topological matter beyond conventional bulk-boundary correspondence principles.
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