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.
If the Hamiltonian is perturbed with the term ˆB ϵeiωt, the expectation of the observable ˆAis varied by an amount linear toϵe iωt whenϵ→0
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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.