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

References in corpus (5)

• Paired composite fermion phase of quantum Hall bilayers at ν= 1/2 + 1/2
• Trial Wavefunctions for ν= 1/2 + 1/2 Quantum Hall Bilayers
• Bridge between Abelian and Non-Abelian Fractional Quantum Hall States
• Hierarchy wave functions--from conformal correlators to Tao-Thouless states
• Domain walls, fusion rules and conformal field theory in the quantum Hall regime