Direct observation of momentum-resolved Landau levels in strained monolayer graphene

In the presence of strong magnetic fields, two-dimensional (2D) electron systems display highly degenerate quantized energy levels called Landau levels. When the Fermi energy is placed within the energy gap between these Landau levels, the system bulk is insulating and charge current is carried by gapless edge modes. This is the quantum Hall effect, belonging to the remarkable class of macroscopic quantum phenomena and the first member of an ever-growing family of topological states. While angle-resolved photoemission spectroscopy (ARPES) has been a powerful tool to investigate numerous quantum phases of matter, the traditional quantum Hall states – and thus their momentum-resolved structure – have remained inaccessible. Such observations are hindered by the fact that ARPES measurements are incompatible with the application of magnetic fields. Here, we circumvent this by using graphene’s peculiar property of exhibiting large pseudomagnetic fields under particular strain patterns, to visualize the momentum-space structure of electrons in the quantum Hall regime. By measuring the unique energy spacing of the ensuing pseudo-Landau levels with ARPES, we confirm the Dirac nature of the electrons in graphene and extract a pseudomagnetic field strength of B = 41 T. This momentum-resolved study of the quantum Hall phase up to room temperature is made possible by exploiting shallow triangular nanoprisms in the SiC substrates that generate large, uniform pseudomagnetic fields, arising from strain confirmed by STM and model calculations. Our work demonstrates the feasibility of exploiting strain-induced quantum phases in 2D Dirac materials on a wafer-scale size, opening the field to a range of new applications.