Canonical Calculation of Orbital Magnetism of a 2-D Quantum Dot

抄録

Orbital magnetization of two-dimensional electrons confined in a harmonic potential is calculated at finite temperature. The calculation has been done with the canonical ensemble average, and the results are compared with those by the grand canonical averaging. Both methods give the same results, the Landau diamagnetism, for k_BT>hω₀, where ω₀ is the frequency of the harmonic potential. At lower temperature both averaging give qualitatively similar results except that the canonical averaging gives slightly larger magnetic response than the grand canonical averaging.