At filling ν=1, intervalley-coherent states in opposite-Chern Landau level models are ground states only for reduced intravalley interactions, and their gapless spin mode rules them out as the sole explanation of the fractional quantum spin Hall effect.
Zhang, Non-Abelian and Abelian descendants of a vortex spin liquid: Fractional quantum spin Hall effect in twisted${\mathrm{MoTe}} {2}$, Physical Review B 110, 155102 (2024)
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Valley Order in Moir\'e Topological Insulators
At filling ν=1, intervalley-coherent states in opposite-Chern Landau level models are ground states only for reduced intravalley interactions, and their gapless spin mode rules them out as the sole explanation of the fractional quantum spin Hall effect.