Robust non-Abelian spin liquid and a possible intermediate phase in the antiferromagnetic Kitaev model with magnetic field
Abstract
In this work, we investigate the non-Abelian topological chiral spin-liquid phase in the two-dimensional Kitaev honeycomb model subject to a magnetic field. By combining density matrix renormalization group and exact diagonalization we study the energy spectra, entanglement, topological degeneracy, and expectation values of Wilson loop operators, allowing for a robust characterization. While the ferromagnetic Kitaev spin liquid is already destroyed by a weak magnetic field with Zeeman energy $$H^{FM}_\ast ≈ 0.02$$, the antiferromagnetic (AFM) spin liquid remains robust up to a magnetic field that is an order of magnitude larger, $$H^{AFM}_\ast ≈ 0.2$$. Interestingly, for larger fields $$H^{AFM}_\ast < H < H^{AFM}_{\ast\ast}$$, an intermediate gapless phase is observed, before a second transition to the high-field partially polarized paramagnet. We attribute this rich phase diagram, and the remarkable stability of the chiral topological phase in the AFM Kitaev model, to the interplay of strong spin-orbit coupling and frustration enhanced by the magnetic field. Our findings suggest relevance to recent experiments on RuCl3 under magnetic fields.
- Authors:
-
- Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
- California State University, Northridge (CSUN), CA (United States)
- Publication Date:
- Research Org.:
- California State University, Northridge (CSUN), CA (United States)
- Sponsoring Org.:
- David and Lucile Packard Foundation; USDOE Office of Science (SC), Basic Energy Sciences (BES); National Science Foundation (NSF)
- OSTI Identifier:
- 1865377
- Alternate Identifier(s):
- OSTI ID: 1454374
- Grant/Contract Number:
- FG02-06ER46305; ACI-1548562
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review. B
- Additional Journal Information:
- Journal Volume: 97; Journal Issue: 24; Journal ID: ISSN 2469-9950
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY
Citation Formats
Zhu, Zheng, Kimchi, Itamar, Sheng, D. N., and Fu, Liang. Robust non-Abelian spin liquid and a possible intermediate phase in the antiferromagnetic Kitaev model with magnetic field. United States: N. p., 2018.
Web. doi:10.1103/physrevb.97.241110.
Zhu, Zheng, Kimchi, Itamar, Sheng, D. N., & Fu, Liang. Robust non-Abelian spin liquid and a possible intermediate phase in the antiferromagnetic Kitaev model with magnetic field. United States. https://doi.org/10.1103/physrevb.97.241110
Zhu, Zheng, Kimchi, Itamar, Sheng, D. N., and Fu, Liang. Fri .
"Robust non-Abelian spin liquid and a possible intermediate phase in the antiferromagnetic Kitaev model with magnetic field". United States. https://doi.org/10.1103/physrevb.97.241110. https://www.osti.gov/servlets/purl/1865377.
@article{osti_1865377,
title = {Robust non-Abelian spin liquid and a possible intermediate phase in the antiferromagnetic Kitaev model with magnetic field},
author = {Zhu, Zheng and Kimchi, Itamar and Sheng, D. N. and Fu, Liang},
abstractNote = {In this work, we investigate the non-Abelian topological chiral spin-liquid phase in the two-dimensional Kitaev honeycomb model subject to a magnetic field. By combining density matrix renormalization group and exact diagonalization we study the energy spectra, entanglement, topological degeneracy, and expectation values of Wilson loop operators, allowing for a robust characterization. While the ferromagnetic Kitaev spin liquid is already destroyed by a weak magnetic field with Zeeman energy $H^{FM}_\ast ≈ 0.02$, the antiferromagnetic (AFM) spin liquid remains robust up to a magnetic field that is an order of magnitude larger, $H^{AFM}_\ast ≈ 0.2$. Interestingly, for larger fields $H^{AFM}_\ast < H < H^{AFM}_{\ast\ast}$, an intermediate gapless phase is observed, before a second transition to the high-field partially polarized paramagnet. We attribute this rich phase diagram, and the remarkable stability of the chiral topological phase in the AFM Kitaev model, to the interplay of strong spin-orbit coupling and frustration enhanced by the magnetic field. Our findings suggest relevance to recent experiments on RuCl3 under magnetic fields.},
doi = {10.1103/physrevb.97.241110},
journal = {Physical Review. B},
number = 24,
volume = 97,
place = {United States},
year = {Fri Jun 15 00:00:00 EDT 2018},
month = {Fri Jun 15 00:00:00 EDT 2018}
}
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