ORBITAL MAGNETIZATION OF A FINITE ANYON SYSTEM - A HARTREE CALCULATION ON A CYLINDER

We use a modified Hartree approximation to study the spontaneous magne tization of a finite system of anyons in cylindrical geometry, treatin g the anyons in the effective mass approximation. We find that, as a f unction of system size, the magnetic moment has oscillatory structure due to the invariance of the energy upon addition of an integer number of Chern-Simons flux quanta, and large, abrupt jumps due to repopulat ion of Landau levels. We compare our results with the exact diagonaliz ation studies by Canright and Johnson on a lattice in a similar geomet ry.