| Issue |
EPL
Volume 127, Number 2, July 2019
|
|
|---|---|---|
| Article Number | 27001 | |
| Number of page(s) | 6 | |
| Section | Condensed Matter: Electronic Structure, Electrical, Magnetic and Optical Properties | |
| DOI | https://doi.org/10.1209/0295-5075/127/27001 | |
| Published online | 12 August 2019 | |
Delocalization of edge states in topological phases
Lehrstuhl für Theoretische Physik 1, TU Dortmund - Dortmund, Germany
Received: 20 May 2019
Accepted: 15 July 2019
The presence of a topologically non-trivial discrete invariant implies the existence of gapless modes in finite samples, but it does not necessarily imply their localization. The disappearance of the indirect energy gap in the bulk generically leads to the absence of localized edge states. We illustrate this behavior in two fundamental lattice models on the single-particle level. By tuning a hopping parameter the indirect gap is closed while maintaining the topological properties. The inverse participation ratio is used to measure the degree of localization.
PACS: 73.20.Jc – Delocalization processes / 03.65.Vf – Phases: geometric; dynamic or topological / 71.23.An – Theories and models; localized states
© EPLA, 2019
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