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

V. Pasquier; F. D. M. Haldane

doi:10.1016/s0550-3213(98)00069-8

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

V. Pasquier·F. D. M. Haldane

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Abstract

We consider the problem of Bosonic particles interacting repulsively in a strong magnetic field at the filling factor $ν=1$. 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 $ν=1/2$ Fermionic state.

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V. Pasquier, F. D. M. Haldane. 1997-12-15. A dipole interpretation of the $ν=1/2$ state. https://doi.org/10.1016/s0550-3213(98)00069-8

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