Numerical evidence for a chiral spin liquid in the XXZ antiferromagnetic Heisenberg model on the kagome lattice at m= 23 magnetization

Krishna Kumar, Hitesh J. Changlani, Bryan K. Clark, Eduardo Fradkin

Research output: Contribution to journalArticle

Abstract

We perform an exact-diagonalization study of the spin-12 XXZ Heisenberg antiferromagnet on the kagome lattice at finite magnetization m=23 with an emphasis on the XY point (Jz=0) and in the presence of a small chiral term. Recent analytic work by Kumar et al. [K. Kumar, K. Sun, and E. Fradkin, Phys. Rev. B 90, 174409 (2014)PRBMDO1098-012110.1103/PhysRevB.90.174409] on the same model, using a newly developed flux attachment transformation, predicts a plateau at this value of the magnetization described by a chiral spin liquid (CSL) with a spin Hall conductance of σxy=12. Such a state is topological in nature, has a ground-state degeneracy, and exhibits fractional excitations. We analyze the degeneracy structure in the low-energy manifold, identify the candidate topological states, and use them to compute the modular matrices and Chern numbers, all of which strongly agree with expected theoretical behavior for the σxy=12 CSL. In the limit of zero chirality, we find on most (not all) clusters that the topological invariants are still those of a CSL.

Original languageEnglish (US)
Article number134410
JournalPhysical Review B
Volume94
Issue number13
DOIs
StatePublished - Oct 10 2016

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Magnetization
magnetization
Liquids
liquids
Chirality
Ground state
Fluxes
chirality
attachment
plateaus
ground state
matrices
excitation
energy

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

Cite this

Numerical evidence for a chiral spin liquid in the XXZ antiferromagnetic Heisenberg model on the kagome lattice at m= 23 magnetization. / Kumar, Krishna; Changlani, Hitesh J.; Clark, Bryan K.; Fradkin, Eduardo.

In: Physical Review B, Vol. 94, No. 13, 134410, 10.10.2016.

Research output: Contribution to journalArticle

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