Induced Zeeman effect of moiré surface states in topological insulators

Recently, moiré superlattices have been found on the surface of topological insulators due to the rotational misalignment of topmost layers. In this work, we study the effects of moiré superlattices on the Landau levels of topological surface states. We find that an extra Zeeman term besides the intrinsic one can be induced by the orbital effect of the magnetic field in moiré surface states. As a result, the originally field-independent zeroth Landau level of moiré surface states could be tilted by the out-of-plane magnetic field.