Anomalous quantum oscillations in topological insulators

Quantum oscillations are routinely used to determine the Fermi surface (FS) in metallic systems. In topological insulators, quantum oscillations can originate from the FS of the edge states. We analyze such quantum oscillations when the chemical potential lies close to the edge of either bulk conduction or valence bands. We compare and contrast these with standard cases for edge states with 2D electron-gas and Dirac dispersions, respectively. We discuss candidate systems where deviations from the standard cases are expected to occur. We comment on the possible implications for quantum oscillations observed in topological Kondo insulators.