Meichanetzidis, K, Cirio, M, Pachos, JK et al. (1 more author) (2016) Anatomy of fermionic entanglement and criticality in Kitaev spin liquids. Physical Review B - Condensed Matter and Materials Physics, 94 (11). 115158. ISSN 1098-0121
Abstract
We analyze in detail the effect of nontrivial band topology on the area-law behavior of the entanglement entropy in Kitaev's honeycomb model. By mapping the translationally invariant 2D spin model onto 1D fermionic subsystems, we identify those subsystems responsible for universal entanglement contributions in the gapped phases and those responsible for critical entanglement scaling in the gapless phases. For the gapped phases, we analytically show how the topological edge states contribute to the entanglement entropy and provide a universal lower bound for it. For the gapless semimetallic phases and topological phase transitions, the identification of the critical subsystems shows that they fall always into the Ising or the XY universality classes. As our study concerns the fermionic degrees of freedom in the honeycomb model, qualitatively similar results are expected to apply also to generic topological insulators and superconductors.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2016 American Physical Society. This is an author produced version of a paper published in Physical Review B - Condensed Matter and Materials Physics. Uploaded in accordance with the publisher's self-archiving policy. |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Physics and Astronomy (Leeds) > Theoretical Physics (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 28 Oct 2016 12:15 |
Last Modified: | 16 Jan 2018 01:18 |
Published Version: | https://doi.org/10.1103/PhysRevB.94.115158 |
Status: | Published |
Publisher: | American Physical Society |
Identification Number: | 10.1103/PhysRevB.94.115158 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:106667 |