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

Journal Article · · Physical Review Letters
 [1];  [2];  [3]
  1. Freie Univ., Berlin (Germany). Dahlem Center for Complex Quantum Systems. Inst. for Theoretical Physics
  2. Univ. of Kent, Canterbury (United Kingdom). Functional Materials Group. School of Physical Sciences; Univ. of Cambridge (United Kingdom). TCM Group. Cavendish Lab.
  3. Stockholm Univ. (Sweden). Dept. of Physics
+ Show Author Affiliations

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.

Research Organization:
Princeton Univ., NJ (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
Grant/Contract Number:
SC0002140
OSTI ID:
1536553
Alternate ID(s):
OSTI ID: 1380016
Journal Information:
Physical Review Letters, Vol. 119, Issue 10; ISSN 0031-9007
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 7 works
Citation information provided by
Web of Science

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Cited By (4)

Characterization of quasiholes in two-component fractional quantum Hall states and fractional Chern insulators in | C | =2 flat bands journal January 2019
The boundaries and twist defects of the color code and their applications to topological quantum computation journal October 2018
The boundaries and twist defects of the color code and their applications to topological quantum computation text January 2018
Characterization of quasiholes in two-component fractional quantum Hall states and fractional Chern insulators in $|C|=2$ flat bands text January 2018

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Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS