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Topological states of the diatomic linear chain: effect of impedance matching to the fixed ends

The diatomic linear chain with nearest-neighbor spring constants C1 and C2 has topologically
different bulk states for C1 ≷ C2. A finite chain of N unit cells and fixed ends (the first and last
spring is C1) exhibits two topological end states within the gap for C1 > C2.We investigate the
effect of an impedance mismatch by varying the first and last ‘boundary’ spring constant termed
CF from its ideal value C1. CF = 0 represents an open end and does never lead to topological states.
CF→∞means that also the next site to the boundary is fixed, leading to topological states only
for C1 < C2 since now the first movable spring is C2. Within a range of CF around C1 topological
end states are preserved for C1 > C2. For C2 > C1, topological end states occur when CF exceeds a
certain value.

Identiferoai:union.ndltd.org:DRESDEN/oai:qucosa:de:qucosa:85014
Date27 April 2023
CreatorsGrundmann, Marius
PublisherIOP Publishing
Source SetsHochschulschriftenserver (HSSS) der SLUB Dresden
LanguageEnglish
Detected LanguageEnglish
Typeinfo:eu-repo/semantics/publishedVersion, doc-type:article, info:eu-repo/semantics/article, doc-type:Text
Rightsinfo:eu-repo/semantics/openAccess
Relation1367-2630, 083076

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