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arXiv · 2601.12898

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

Jiahao Yang·Hao Tian·Si-Yu Pan·Gang v. Chen
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Abstract

Motivated by recent progress in moir\'e 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-$1/2$ $J_1$-$J_2$-$J_{\chi}$ model, and further identify thermal Hall and magnetic signatures that distinguish these regimes, with potential applications to moir\'e Hofstadter-Hubbard systems and triangular-lattice antiferromagnets.

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Jiahao Yang, Hao Tian, Si-Yu Pan, Gang v. Chen. 2026-01-19. Emergent Gauge Flux and Spin Ordering in Magnetized Triangular Spin Liquids: Applications to Hofstadter-Hubbard Model. https://doi.org/10.1103/gbnt-vmns

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