Emergent Gauge Flux and Spin Ordering in Magnetized Triangular Spin Liquids: Applications to Hofstadter-Hubbard Model.

Authors

Jiahao Yang, Hao Tian, Si-Yu Pan, Gang V Chen

Published in

Physical review letters. Volume 137. Issue 10. Pages 106502. Sep 04, 2026.

Abstract

Motivated by recent progress in moiré superlattices and spin-1/2 triangular-lattice antiferromagnets, we study how orbital magnetic flux and Zeeman coupling compete or cooperate in generating internal U(1) gauge flux in a triangular spin liquid. We show that orbital flux favors a chiral spin liquid with staggered internal flux, whereas Zeeman coupling destabilizes the spinon Fermi-pocket state toward a Landau-level state with spontaneous uniform internal flux and conical spin order. We demonstrate this mechanism in a spin-1/2 J_{1}-J_{2}-J_{χ} model and further identify thermal Hall and magnetic signatures that distinguish these regimes, with potential applications to moiré Hofstadter-Hubbard systems and triangular-lattice antiferromagnets.

PMID:
42758999
Bibliographic data and abstract were imported from PubMed on 19 Sep 2026.

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