Robust non-Abelian spin liquid and a possible intermediate phase in the antiferromagnetic Kitaev model with magnetic field

Zhu, Zheng; Kimchi, Itamar; Sheng, D. N.; Fu, Liang

doi:10.1103/physrevb.97.241110

Robust non-Abelian spin liquid and a possible intermediate phase in the antiferromagnetic Kitaev model with magnetic field

Journal Article · Fri Jun 15 00:00:00 EDT 2018 · Physical Review. B

DOI:https://doi.org/10.1103/physrevb.97.241110· OSTI ID:1865377

Zhu, Zheng ^[1]; Kimchi, Itamar ^[2]; Sheng, D. N. ^[3]; Fu, Liang ^[2]

Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States); CSUN
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
California State University, Northridge (CSUN), CA (United States)

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.

View Accepted Manuscript (DOE)

Research Organization:: California State University, Northridge (CSUN), CA (United States)

Sponsoring Organization:: David and Lucile Packard Foundation; National Science Foundation (NSF); USDOE; USDOE Office of Science (SC), Basic Energy Sciences (BES)

Grant/Contract Number:: FG02-06ER46305

OSTI ID:: 1865377

Alternate ID(s):: OSTI ID: 1540882
OSTI ID: 1454374

Journal Information:: Physical Review. B, Journal Name: Physical Review. B Journal Issue: 24 Vol. 97; ISSN 2469-9950

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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