Spin-Resolved Edge States around an Antidot in the Vicinity of the $\nu =2$ Quantum Hall State

We have investigated spin-related effects on the electronic transport in a single antidot system in the vicinity of the $\nu =2$ quantum Hall state where two edge states with different spins of the lowest Landau level are formed around the antidot. The conductance exhibits the paired $h\mathrm{/}2e$ Aharonov-Bohm (AB) oscillations. Using a tilted magnetic field technique, we have observed the evolution of the oscillations with the total magnetic field and a concomitant change in the source-drain bias dependence of the differential conductance. From the observation, we extract the effect of the Zeeman energy on the AB oscillations.