Helical spin liquid in a triangular XXZ magnet from Chern-Simons theory

Tigran Sedrakyan, Roderich Moessner, Alex Kamenev

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We propose a finite-temperature phase diagram for the two-dimensional spin-1/2 J1-J2 XXZ antiferromagnet on a triangular lattice. Our analysis, based on a composite fermion representation, yields several phases. This includes a zero-temperature helical spin liquid with N=6 anisotropic Dirac cones, and with nonzero vector chirality implying a broken Z2 symmetry. It is terminated at T=0 by a continuous quantum phase transition to a 120° ordered state around J2/J1≈0.089 in the XX limit; these phases share a double degeneracy, which persists to finite T above the helical spin liquid. By contrast, at J2/J1≃0.116, the transition into a stripe phase appears as first order. We further discuss experimental and numerical consequences of the helical order and the anisotropic nature of the Dirac dispersion.

Original languageEnglish (US)
Article number024430
JournalPhysical Review B
Issue number2
StatePublished - Jul 1 2020

Bibliographical note

Funding Information:
We are indebted to L. Balents, A. Chernyshev, A. Chubukov, O. Starykh, and Mengxing Ye for valuable discussions. A.K. was supported by NSF Grant No. DMR-1608238. T.A.S. acknowledges startup funds from UMass Amherst and thanks the Max Planck Institute for the Physics of Complex Systems for hospitality.

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