Abstract
The transmission coefficients of an electron wave passing through an Aharonov-Bohm (AB) ring with a quantum dot in one of its arms are studied numerically by the recursive Green function method. In addition to lead wires which are used as the current-voltage probes, several lead wires are attached to the AB ring in a simulation as they are in an experiment. We discuss the relation ship between the effects of the additional lead wires on the electron transmission and the validity of a simple current formula which has been employed in a number of studies. We conclude that the simple current formula is valid when the additional lead wires are strongly coupled to the AB ring.
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