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The chemical potential of a quantum dot parabolically confining one or twoelectrons is studied in an axial magnetic field. The number of electrons in thedot is given by combination between the chemical potentials of the dots andleads. The equilibrium-charge diagram of the dot is obtained in the phase spacedetermined by the magnetic field and the lead voltage. The influence of themagnetic field on the electron number and the electron transport is discussed.The dependence of the electron number on the magnetic fields and the leadvoltage is clear at a glance in the equilibrium-charge diagram. Moreover, thediagram is a compact tool to show the condition of the electron transport.

Equilibrium-charge diagram of single quantum dot in an axial magnetic field