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We study the crossover behavior of the Hall resistance between the integerquantum Hall regime and a regime dominated by the Aharonov-Bohm oscillations,in a system of 4-probe quantum dot with an artificial impurity confined inside.In a previous study [M. Lei, N.J. Zhu and Hong Guo, Phys. Rev. B. 52, 16784,(1995)], a peculiar set of symmetry relations between various scatteringprobabilities were found in this crossover regime. In this paper we examine theuniversality of this set of symmetry relations using different shapes of thequantum dot and positions of the artificial impurity. The symmetry holds forthese changes and we conclude that in this transport regime the generalbehavior of the Hall resistance is determined by the competition of the quantumHall and Aharonov-Bohm effects, rather than by the detailed shapes of thestructure.Comment: 7 ps figures; to appear in PR

Numerical confirmation of universality of transmission microsymmetry relations in a four-probe quantum dot