We study the possible penetration of a static magnetic field in an idealized
sample of many layers supporting a two dimensional charged chiral quantum
fluid, to see whether there is a kind of Meissner effect. This is a non
standard problem since the quantum fluid is incompressible having a gap in its
spectrum. We find that the system shows an intermediate behaviour between
superconducting and non-superconducting fluids, the magnetic field being
screened or not depending on its orientation relative to the layers.Comment: 20 pages, plain tex, SISSA 50/94/E