S. Fournais CONFINEMENT TO LOWEST LANDAU BAND AND APPLICATION TO QUANTUM CURRENT. (256K, Postscript) ABSTRACT. In this paper we study neutral atoms of nuclear charge Z in a strong constant magnetic field of strength B. We improve the bound on confinement to lowest Landau band given by Lieb, Solovej and Yngvason. This permits to calculate the asymptotic form of the quantum current of atoms in the parameter region $Z^{4/3} \ll B \ll Z^{46/27}$.