The quantum oscillations in different probe configurations in the [Formula: see text] topological insulator macroflake

We demonstrate quantum oscillations in [Formula: see text] topological insulator macroflakes in different probe configurations. The oscillation period in the local configuration is twice compared to the non-local configuration. The Aharonov–Bohm-like (AB-like) oscillation dominates the transport property in the local configuration and the Altshuler–Aronov–Spivak-like (AAS-like) oscillation dominates the transport property in the non-local configuration. The AB-like oscillation period is 0.21 T and the related loop diameter is 156 nm which is consistent with the reported phase coherence length in topological insulators. The Shubnikov–de Haas oscillation frequency is the same but oscillation peaks reveal a [Formula: see text] phase shift in the local and non-local configuration. The Berry phase is [Formula: see text] in the local configuration and 0 in non-local configuration.