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

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.