### Abstract

When tensile strain is applied transversely to a finite region of a graphene armchair ribbon topological gap states can appear. The probability density of such a state can be fractionalized into two parts such that one half of the overall probability density is on a zigzag edge consisting of A carbon atoms while the other half is on a zigzag edge consisting of B carbon atoms. Here we investigate how the on-site repulsive electron–electron interaction U affects this charge fractionalization in the smallest width armchair ribbon. When the bonds are cut partially by the tensile strain, the charge fractionalization remains intact. However, when the bonds are cut completely, the edges no longer display charge fractionalization. We find that a spin-up electron resides on one zigzag edge while as pin-down electron resides on the opposite zigzag edge.

Original language | English |
---|---|

Pages (from-to) | 7476-7479 |

Number of pages | 4 |

Journal | Journal of Nanoscience and Nanotechnology |

Volume | 17 |

Issue number | 10 |

DOIs | |

Publication status | Published - 2017 Oct 1 |

### Fingerprint

### Keywords

- Edge states
- Fractional charge
- Graphene armchair ribbon

### ASJC Scopus subject areas

- Bioengineering
- Chemistry(all)
- Biomedical Engineering
- Materials Science(all)
- Condensed Matter Physics

### Cite this

**Effect of electron–electron interactions on the topological properties of graphene armchair nanoribbons.** / Jeong, Y. H.; Yang, Sung Ryul.

Research output: Contribution to journal › Article

*Journal of Nanoscience and Nanotechnology*, vol. 17, no. 10, pp. 7476-7479. https://doi.org/10.1166/jnn.2017.14770

}

TY - JOUR

T1 - Effect of electron–electron interactions on the topological properties of graphene armchair nanoribbons

AU - Jeong, Y. H.

AU - Yang, Sung Ryul

PY - 2017/10/1

Y1 - 2017/10/1

N2 - When tensile strain is applied transversely to a finite region of a graphene armchair ribbon topological gap states can appear. The probability density of such a state can be fractionalized into two parts such that one half of the overall probability density is on a zigzag edge consisting of A carbon atoms while the other half is on a zigzag edge consisting of B carbon atoms. Here we investigate how the on-site repulsive electron–electron interaction U affects this charge fractionalization in the smallest width armchair ribbon. When the bonds are cut partially by the tensile strain, the charge fractionalization remains intact. However, when the bonds are cut completely, the edges no longer display charge fractionalization. We find that a spin-up electron resides on one zigzag edge while as pin-down electron resides on the opposite zigzag edge.

AB - When tensile strain is applied transversely to a finite region of a graphene armchair ribbon topological gap states can appear. The probability density of such a state can be fractionalized into two parts such that one half of the overall probability density is on a zigzag edge consisting of A carbon atoms while the other half is on a zigzag edge consisting of B carbon atoms. Here we investigate how the on-site repulsive electron–electron interaction U affects this charge fractionalization in the smallest width armchair ribbon. When the bonds are cut partially by the tensile strain, the charge fractionalization remains intact. However, when the bonds are cut completely, the edges no longer display charge fractionalization. We find that a spin-up electron resides on one zigzag edge while as pin-down electron resides on the opposite zigzag edge.

KW - Edge states

KW - Fractional charge

KW - Graphene armchair ribbon

UR - http://www.scopus.com/inward/record.url?scp=85026370378&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85026370378&partnerID=8YFLogxK

U2 - 10.1166/jnn.2017.14770

DO - 10.1166/jnn.2017.14770

M3 - Article

AN - SCOPUS:85026370378

VL - 17

SP - 7476

EP - 7479

JO - Journal of Nanoscience and Nanotechnology

JF - Journal of Nanoscience and Nanotechnology

SN - 1533-4880

IS - 10

ER -