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^*

^*Corresponding author for this work

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

9 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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T1 - Topological entanglement entropy of interacting disordered zigzag graphene ribbons

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.

UR - https://www.scopus.com/pages/publications/85103856483

U2 - 10.1103/PhysRevB.103.115151

DO - 10.1103/PhysRevB.103.115151

M3 - Article

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SN - 2469-9950

VL - 103

JO - Physical Review B

JF - Physical Review B

IS - 11

M1 - 115151

ER -

Topological entanglement entropy of interacting disordered zigzag graphene ribbons

Abstract

Bibliographical note

ASJC Scopus subject areas

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