Journal
NEW JOURNAL OF PHYSICS
Volume 19, Issue -, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/1367-2630/aa8a9f
Keywords
Chern number; polarization singularities; Chern insulators
Categories
Funding
- European Research Council Starting Grant OPTOMECH
- European Union [732894]
- Julian Schwinger Foundation [JSF-16-03-0000]
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Topology has appeared in different physical contexts. The most prominent application is topologically protected edge transport in condensed matter physics. The Chern number, the topological invariant of gapped Bloch Hamiltonians, is an important quantity in this field. Another example of topology, in polarization physics, are polarization singularities, called L lines and C points. By establishing a connection between these two theories, we develop a novel technique to visualize and potentially measure the Chern number: it can be expressed either as the winding of the polarization azimuth along L lines in reciprocal space, or in terms of the handedness and the index of the C points. For mechanical systems, this is directly connected to the visible motion patterns.
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