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Exotic Non-Abelian Topological Defects in Lattice Fractional Quantum Hall States

Liu, Zhao, Möller, Gunnar, Bergholtz, Emil J. (2017) Exotic Non-Abelian Topological Defects in Lattice Fractional Quantum Hall States. Physical Review Letters, 119 . ISSN 0031-9007. E-ISSN 1079-7114. (doi:10.1103/PhysRevLett.119.106801)

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http://dx.doi.org/10.1103/PhysRevLett.119.106801

Abstract

We investigate extrinsic wormhole-like twist defects that effectively increase the genus of space in lattice versions of multi-component 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.

Item Type: Article
DOI/Identification number: 10.1103/PhysRevLett.119.106801
Uncontrolled keywords: Physics of Quantum Materials, PACS numbers: 73.43.Cd, 71.10.Pm, 05.30.Pr, Physics of Quantum Materials
Subjects: Q Science > QC Physics > QC173.45 Condensed Matter
Q Science > QC Physics > QC174.12 Quantum theory
Divisions: Faculties > Sciences > School of Physical Sciences > Functional Materials Group
Depositing User: Gunnar Moller
Date Deposited: 16 Aug 2017 07:59 UTC
Last Modified: 17 Jul 2019 11:17 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/62845 (The current URI for this page, for reference purposes)
Möller, Gunnar: https://orcid.org/0000-0001-8986-0899
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