Observation of spin–orbit Berry phase in magnetoresistance of a two-dimensional hole antidot system

We report a study of the Aharonov–Bohm (AB) type oscillation of weak field magnetoresistance in an anti-dot lattice (ADL) of a two-dimensional hole system in the presence of strong spin–orbit interaction. The Fourier transform of the oscillations reveals non-monotonic evolutions with the different range of harmonic component, which are indicative of the existence of additional phase factors. A simulation considering Berry’s phase and the phase arising from the spin–orbit shift in the momentum space shows qualitative agreement with the experiment.