Topological end states and Zak phase of rectangular armchair ribbon
- Authors
- Jeong, Y. H.; Yang, S. -R. Eric
- Issue Date
- 10월-2017
- Publisher
- ACADEMIC PRESS INC ELSEVIER SCIENCE
- Keywords
- Graphene nanosystem; Fractional charge; Edge magnetization; End state; Polarization; Zak phase
- Citation
- ANNALS OF PHYSICS, v.385, pp.688 - 694
- Indexed
- SCIE
SCOPUS
- Journal Title
- ANNALS OF PHYSICS
- Volume
- 385
- Start Page
- 688
- End Page
- 694
- URI
- https://scholar.korea.ac.kr/handle/2021.sw.korea/81977
- DOI
- 10.1016/j.aop.2017.08.019
- ISSN
- 0003-4916
- Abstract
- We consider the end states of a half-filled rectangular armchair graphene ribbon (RAGR) in a staggered potential. Taking electron electron interactions into account we find that, as the strength of the staggered potential varies, three types of couplings between the end states can occur: antiferromagnetic without or with spin splitting, and paramagnetic without spin-splitting. We find that a spin-splitting is present only in the staggered potential region 0 < Delta < Delta(c). The transition from the antiferromagnetic state at Delta = 0 to the paramagnetic state goes through an intermediate spin-split antiferromagnetic state, and this spin-splitting disappears suddenly at Delta(c). For small and large values of,A the end charge of a RAGR can be connected to the Zak phase of the periodic armchair graphene ribbon (PARG) with the same width, and it varies continuously as the strength of the potential changes. (C) 2017 Elsevier Inc. All rights reserved.
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