Ontology type: schema:ScholarlyArticle
2019-03-27
AUTHORSJohannes Kellendonk, Emil Prodan
ABSTRACTWe consider one-dimensional tight binding models on ℓ2(Z) whose spatial structure is encoded by a Sturmian sequence (ξn)n∈{a,b}Z. An example is the Kohmoto Hamiltonian, which is given by the discrete Laplacian plus an on-site potential vn taking value 0 or 1 according to whether ξn is a or b. The only non-trivial topological invariants of such a model are its gap labels. The bulk–boundary correspondence we establish here states that there is a correspondence between the gap label and a winding number associated with the edge states, which arises if the system is augmented and compressed onto half-space ℓ2(N). This has been experimentally observed with polaritonic waveguides. A correct theoretic explanation requires, however, first a smoothing out of the atomic motion via phason flips. With such an interpretation at hand, the winding number corresponds to the mechanical work through a cycle which the atomic motion exhibits on the edge states. More... »
PAGES1-32
http://scigraph.springernature.com/pub.10.1007/s00023-019-00792-5
DOIhttp://dx.doi.org/10.1007/s00023-019-00792-5
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Turtle is a human-readable linked data format.
curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/s00023-019-00792-5'
RDF/XML is a standard XML format for linked data.
curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/s00023-019-00792-5'
This table displays all metadata directly associated to this object as RDF triples.
232 TRIPLES
21 PREDICATES
75 URIs
16 LITERALS
5 BLANK NODES