Fractional Chern insulator edges and layer-resolved lattice contacts
Abstract
Fractional Chern insulators (FCIs) realized in fractional quantum Hall systems subject to a periodic potential are topological phases of matter for which space group symmetries play an important role. In particular, lattice dislocations in an FCI can host non-Abelian topological defects, known as genons. Genons can increase the ground-state degeneracy of the system and are thus potentially useful for topological quantum computing. In this work, we study FCI edges and how they can be used to detect genons. We find that translation symmetry can impose a quantized momentum difference between the edge electrons of a partially filled Chern band. We propose layer-resolved lattice contacts, which utilize this momentum difference to selectively contact a particular FCI edge electron. The relative current between FCI edge electrons can then be used to detect the presence of genons in the bulk FCI. Recent experiments have demonstrated graphene is a viable platform to study FCI physics. Here, we describe how the lattice contacts proposed here could be implemented in graphene subject to an artificial lattice, thereby outlining a path forward for experimental dectection of non-Abelian topological defects.
- Authors:
-
- Univ. of California, Santa Barbara, CA (United States)
- Microsoft Research, Santa Barbara, CA (United States); Univ. of California, Santa Barbara, CA (United States)
- Univ. of California, Berkeley, CA (United States); Princeton Univ., NJ (United States)
- Publication Date:
- Research Org.:
- Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC); National Science Foundation (NSF)
- OSTI Identifier:
- 1572800
- Grant/Contract Number:
- AC02-05CH11231; DGE 114085; DMR-1836776
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review. B
- Additional Journal Information:
- Journal Volume: 99; Journal Issue: 8; Journal ID: ISSN 2469-9950
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; Chern insulators; Edge states; Topological defects
Citation Formats
Knapp, Christina, Spanton, Eric M., Young, Andrea F., Nayak, Chetan, and Zaletel, Michael P. Fractional Chern insulator edges and layer-resolved lattice contacts. United States: N. p., 2019.
Web. doi:10.1103/physrevb.99.081114.
Knapp, Christina, Spanton, Eric M., Young, Andrea F., Nayak, Chetan, & Zaletel, Michael P. Fractional Chern insulator edges and layer-resolved lattice contacts. United States. https://doi.org/10.1103/physrevb.99.081114
Knapp, Christina, Spanton, Eric M., Young, Andrea F., Nayak, Chetan, and Zaletel, Michael P. Fri .
"Fractional Chern insulator edges and layer-resolved lattice contacts". United States. https://doi.org/10.1103/physrevb.99.081114. https://www.osti.gov/servlets/purl/1572800.
@article{osti_1572800,
title = {Fractional Chern insulator edges and layer-resolved lattice contacts},
author = {Knapp, Christina and Spanton, Eric M. and Young, Andrea F. and Nayak, Chetan and Zaletel, Michael P.},
abstractNote = {Fractional Chern insulators (FCIs) realized in fractional quantum Hall systems subject to a periodic potential are topological phases of matter for which space group symmetries play an important role. In particular, lattice dislocations in an FCI can host non-Abelian topological defects, known as genons. Genons can increase the ground-state degeneracy of the system and are thus potentially useful for topological quantum computing. In this work, we study FCI edges and how they can be used to detect genons. We find that translation symmetry can impose a quantized momentum difference between the edge electrons of a partially filled Chern band. We propose layer-resolved lattice contacts, which utilize this momentum difference to selectively contact a particular FCI edge electron. The relative current between FCI edge electrons can then be used to detect the presence of genons in the bulk FCI. Recent experiments have demonstrated graphene is a viable platform to study FCI physics. Here, we describe how the lattice contacts proposed here could be implemented in graphene subject to an artificial lattice, thereby outlining a path forward for experimental dectection of non-Abelian topological defects.},
doi = {10.1103/physrevb.99.081114},
journal = {Physical Review. B},
number = 8,
volume = 99,
place = {United States},
year = {Fri Feb 15 00:00:00 EST 2019},
month = {Fri Feb 15 00:00:00 EST 2019}
}
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