A dipole interpretation of the $ν=1/2$ state

Details A dipole interpretation of the $ν=1/2$ state A dipole interpretation of the $ν=1/2$ state

1997-12-15

arxiv.org/abs/cond-mat/9712169v1

Physics

Condensed Matter

flatex t157_txt.tex, 1 file Submitted to: Nucl. Phys. B

Scientific paper

10.1016/S0550-3213(98)00069-8

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.

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