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

TL;DR

This paper investigates the transition from a two-component 332 Halperin state to a one-component Jain state at filling factor 2/5, exploring the nature of the transition and proposing an effective bosonic model.

Contribution

It introduces an effective bosonic p-wave pairing model for the transition and discusses the role of the Gaffnian state in this process.

Findings

Identification of avoided level crossing and level crossing as transition mechanisms

Proposal of a bosonic p-wave pairing model for the transition

Discussion of the Gaffnian state's relevance to the transition

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 \nu=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.