The de Haas-van Alphen oscillations in two-dimensional QED at finite temper
ature and density are investigated. It is shown that for a given particle d
ensity, besides the oscillation of magnetization, the chemical potential is
also oscillating with the same period. Different from the earlier work (J.
O. Andersen and T. Haugset, Phys. Rev. D51 (1995) 3073), the magnetization
oscillations we studied have a correct nonrelativistic limit at zero temper