A dipole interpretation of the $\nu =1/2$ state

TL;DR

This paper proposes a dipole-based interpretation of the $ u=1/2$ state in a strongly magnetic field, using a formalism that maps bosonic particles to interacting fermions and suggests a neutral dipole behavior at low energies.

Contribution

It introduces a novel dipole interpretation of the $ u=1/2$ state by formalizing a boson-to-fermion mapping and analyzing the system within a mean field approximation.

Findings

Composite fermions behave as a gas of neutral dipoles

The low energy limit describes the $ u=1/2$ fermionic state

Formalism maps bosonic interactions into fermionic dipole dynamics

Abstract

We consider the problem of Bosonic particles interacting repulsively in a strong magnetic field at the filling factor $\nu=1$. We project the system in the Lowest Landau Level and set up a formalism to map the dynamics into an interacting Fermion system. Within a mean field approximation we find that the composite Fermions behave as a gas of neutral dipoles and we expect that the low energy limit also describes the physical $\nu=1/2$ Fermionic state.