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.
Haldane, Many-particle translational symmetries of two-dimensional electrons at rational landau-level filling, Physical review letters55, 2095 (1985)
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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.