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We perform momentum-conserving tunneling spectroscopy using a GaAscleaved-edge overgrowth quantum wire to investigate adjacent quantum Hall edgestates. We use the lowest five wire modes with their distinct wave functions toprobe each edge state and apply magnetic fields to modify the wave functionsand their overlap. This reveals an intricate and rich tunneling conductance fanstructure which is succinctly different for each of the wire modes. Weself-consistently solve the Poisson-Schr\"odinger equations to simulate thespectroscopy, reproducing the striking fans in great detail, thus confirmingthe calculations. Further, the model predicts hybridization between wire statesand Landau levels, which is also confirmed experimentally. This establishesmomentum-conserving tunneling spectroscopy as a powerful technique to probeedge state wave functions.

Edge State Wave Functions from Momentum-Conserving Tunneling Spectroscopy