High-temperature quantum oscillations caused by recurring Bloch states in graphene superlattices

Abstract

Cyclotron motion of charge carriers in metals and semiconductors leads to Landau quantization and magneto-oscillatory behavior in their properties. Cryogenic temperatures are usually required to observe these oscillations. We show that graphene superlattices support a different type of quantum oscillations that do not rely on Landau quantization. The oscillations are extremely robust and persist well above room temperature in magnetic fields of only a few T. We attribute this phenomenon to repetitive changes in the electronic structure of superlattices such that charge carriers experience effectively no magnetic field at simple fractions of the flux quantum per superlattice unit cell. Our work points at unexplored physics in Hofstadter butterfly systems at high temperatures.

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• Superlattices based on van der Waals 2D materials
• Dirac wave transmission in Lévy disordered systems
• Acoustomagnetoelectric effect in two-dimensional materials: Geometric resonances and Weiss oscillations
• Electronic transport in disordered graphene superlattices with scale-free correlated barrier spacements
• Field-induced insulating states in a graphene superlattice