Topological entanglement entropy of interacting disordered zigzag graphene ribbons

Young Heon Kim; Hye Jeong Lee; S. R.Eric Yang

doi:10.1103/PhysRevB.103.115151

Topological entanglement entropy of interacting disordered zigzag graphene ribbons

Young Heon Kim, Hye Jeong Lee, S. R.Eric Yang

Department of Physics

Research output: Contribution to journal › Article › peer-review

8 Citations (Scopus)

Abstract

Interacting disordered zigzag graphene nanoribbons have fractional charges, are quasi-one-dimensional, and display an exponentially small gap. Our numerical computations showed that the topological entanglement entropy of these systems has a small finite but universal value, independent of the strength of the interaction and the disorder. The result that was obtained for the topological entanglement entropy shows that the disorder-free phase is critical and becomes unstable in the presence of disorder. Our result for the entanglement spectrum in the presence of disorder is also consistent with the presence of a topologically ordered phase.

Original language	English
Article number	115151
Journal	Physical Review B
Volume	103
Issue number	11
DOIs	https://doi.org/10.1103/PhysRevB.103.115151
Publication status	Published - 2021 Mar 29

Bibliographical note

Funding Information:
This research was supported by the Basic Science Research Program through the National Research Foundation of Korea (NRF), funded by the Ministry of Education (NRF-2018R1D1A1A09082332).

Publisher Copyright:
© 2021 American Physical Society.

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Condensed Matter Physics

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10.1103/PhysRevB.103.115151

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title = "Topological entanglement entropy of interacting disordered zigzag graphene ribbons",

abstract = "Interacting disordered zigzag graphene nanoribbons have fractional charges, are quasi-one-dimensional, and display an exponentially small gap. Our numerical computations showed that the topological entanglement entropy of these systems has a small finite but universal value, independent of the strength of the interaction and the disorder. The result that was obtained for the topological entanglement entropy shows that the disorder-free phase is critical and becomes unstable in the presence of disorder. Our result for the entanglement spectrum in the presence of disorder is also consistent with the presence of a topologically ordered phase.",

author = "Kim, {Young Heon} and Lee, {Hye Jeong} and Yang, {S. R.Eric}",

note = "Funding Information: This research was supported by the Basic Science Research Program through the National Research Foundation of Korea (NRF), funded by the Ministry of Education (NRF-2018R1D1A1A09082332). Publisher Copyright: {\textcopyright} 2021 American Physical Society.",

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AU - Kim, Young Heon

AU - Lee, Hye Jeong

AU - Yang, S. R.Eric

N1 - Funding Information: This research was supported by the Basic Science Research Program through the National Research Foundation of Korea (NRF), funded by the Ministry of Education (NRF-2018R1D1A1A09082332). Publisher Copyright: © 2021 American Physical Society.

PY - 2021/3/29

Y1 - 2021/3/29

N2 - Interacting disordered zigzag graphene nanoribbons have fractional charges, are quasi-one-dimensional, and display an exponentially small gap. Our numerical computations showed that the topological entanglement entropy of these systems has a small finite but universal value, independent of the strength of the interaction and the disorder. The result that was obtained for the topological entanglement entropy shows that the disorder-free phase is critical and becomes unstable in the presence of disorder. Our result for the entanglement spectrum in the presence of disorder is also consistent with the presence of a topologically ordered phase.

AB - Interacting disordered zigzag graphene nanoribbons have fractional charges, are quasi-one-dimensional, and display an exponentially small gap. Our numerical computations showed that the topological entanglement entropy of these systems has a small finite but universal value, independent of the strength of the interaction and the disorder. The result that was obtained for the topological entanglement entropy shows that the disorder-free phase is critical and becomes unstable in the presence of disorder. Our result for the entanglement spectrum in the presence of disorder is also consistent with the presence of a topologically ordered phase.

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Topological entanglement entropy of interacting disordered zigzag graphene ribbons

Abstract

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ASJC Scopus subject areas

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