Orbital Magnetization in Quantum Hall Regime

Abstract

The magnetization due to the orbital motion of electrons in confinedtwo dimensional disordered systems subject to perpendicular strong magneticfields is investigated numerically.The effects of the edge states and randomness are discussedfrom the view point of microscopic current distribution. The magnetization as a function of the filling factor is modifiedfrom that for the impurity free case by the fluctuationsin the bulk region, which are of the order of the effective Bohr magneton. On the other hand, the contributions of the edge statesto the magnetization and to the current distributionare stable against the randomness.