A half-filling fractional quantum Hall state at ν_tot = -1/2 in decoupled twisted double bilayer graphene transitions from a two-component Halperin (331) state to a one-component non-Abelian state under displacement field.
Condensation of fractional excitons, non-Abelian states in double-layer quantum Hall systems and Z_4 parafermions
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abstract
In this paper, we study a method to obtain non-Abelian FQH state through double-layer FQH states and fractional exciton condensation. In particular, we find that starting with the (330) double-layer state and then increasing the interlayer tunneling strength, we may obtain a single-layer non-Abelian FQH state S(330). We show that the S(330) state is actually the Z_4 parafermion Read-Rezayi state. We also calculate the edge excitation of the S(330) state.
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Half state at $\nu_{tot}$ = -1/2 and its transition in Decoupled Twisted Double Bilayer Graphene
A half-filling fractional quantum Hall state at ν_tot = -1/2 in decoupled twisted double bilayer graphene transitions from a two-component Halperin (331) state to a one-component non-Abelian state under displacement field.