Journal
PHYSICAL REVIEW LETTERS
Volume 110, Issue 18, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.110.180403
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Funding
- JQI-NSF-PFC
- ARO-MURI
- AFOSR-MURI
- Division Of Physics
- Direct For Mathematical & Physical Scien [822671] Funding Source: National Science Foundation
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The Aubry-Andre or Harper (AAH) model has been the subject of extensive theoretical research in the context of quantum localization. Recently, it was shown that one-dimensional quasicrystals described by the incommensurate AAH model has a nontrivial topology. In this Letter, we show that the commensurate off-diagonal AAH model is topologically nontrivial in the gapless regime and supports zero-energy edge modes. Unlike the incommensurate case, the nontrivial topology in the off-diagonal AAH model is attributed to the topological properties of the one-dimensional Majorana chain. We discuss the feasibility of experimental observability of our predicted topological phase in the commensurate AAH model.
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