Transition from two-component 332 Halperin state to one-component Jain state at filling factor ν=2/5

Abstract

We study the transition induced by tunneling from the two-component 332 Halperin's state to the one-component Jain's state at the filling factor ν=2/5. In exact diagonalizations of small systems two possibilities for the transition are found: (a) avoided level crossing, and (b) level crossing i.e. first-order transition in the case of Coulomb interaction and short range interaction, respectively. An effective bosonic model with p-wave pairing for the transition is proposed. The relevance of the Gaffnian state for the transition is discussed as well as possible consequences of our model on the effective description of the Jain state.

9 pages, 6 figures

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Cited by in corpus (5)

• Solvable models for unitary and non-unitary topological phases
• SU(N) fractional quantum Hall effects in topological flat bands
• Composite Fermion states on the torus
• Effective Abelian theory from a non-Abelian topological order in $\nu =2/5$ fractional quantum Hall effect
• Torus geometry eigenfunctions of an interacting multi-Landau level Hamiltonian