Abstract

The charge pumping is investigated in a quasi-one-dimensional quantum wire within an external perpendicular magnetic field. A formula of the pumped current at finite frequency is derived by using scattering matrix method. It is found that the pumped current oscillates with the magnetic field due to Aharonov–Bohm effect and the oscillating period is only dependent on the effective area enclosed by two pumping potentials. At a weak magnetic field, the pumped current also exhibits an approximate magnetic field inversion symmetry.

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