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Exotic Non-Abelian Topological Defects in Lattice Fractional Quantum Hall States
Stockholm University, Faculty of Science, Department of Physics.
2017 (English)In: Physical Review Letters, ISSN 0031-9007, E-ISSN 1079-7114, Vol. 119, no 10, article id 106801Article in journal (Refereed) Published
Abstract [en]

We investigate extrinsic wormholelike twist defects that effectively increase the genus of space in lattice versions of multicomponent fractional quantum Hall systems. Although the original band structure is distorted by these defects, leading to localized midgap states, we find that a new lowest flat band representing a higher genus system can be engineered by tuning local single-particle potentials. Remarkably, once local many-body interactions in this new band are switched on, we identify various Abelian and non-Abelian fractional quantum Hall states, whose ground-state degeneracy increases with the number of defects, i.e, with the genus of space. This sensitivity of topological degeneracy to defects provides a "proof of concept" demonstration that genons, predicted by topological field theory as exotic non-Abelian defects tied to a varying topology of space, do exist in realistic microscopic models. Specifically, our results indicate that genons could be created in the laboratory by combining the physics of artificial gauge fields in cold atom systems with already existing holographic beam shaping methods for creating twist defects.

Place, publisher, year, edition, pages
2017. Vol. 119, no 10, article id 106801
National Category
Condensed Matter Physics
Identifiers
URN: urn:nbn:se:su:diva-152375DOI: 10.1103/PhysRevLett.119.106801PubMedID: 28949152OAI: oai:DiVA.org:su-152375DiVA, id: diva2:1179567
Available from: 2018-02-01 Created: 2018-02-01 Last updated: 2018-02-02Bibliographically approved

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