Observation of supersymmetric pseudo-Landau levels in strained microwave graphene

Bellec, Matthieu and Poli, Charles and Kuhl, Ulrich and Mortessagne, Fabrice and Schomerus, Henning (2020) Observation of supersymmetric pseudo-Landau levels in strained microwave graphene. Light: Science and Applications, 9 (1): 146. ISSN 2095-5545

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Abstract

Using an array of coupled microwave resonators arranged in a deformed honeycomb lattice, we experimentally observe the formation of pseudo-Landau levels in the whole crossover from vanishing to large pseudomagnetic field strengths. This result is achieved by utilising an adaptable setup in a geometry that is compatible with the pseudo-Landau levels at all field strengths. The adopted approach enables us to observe the fully formed flat-band pseudo-Landau levels spectrally as sharp peaks in the photonic density of states and image the associated wavefunctions spatially, where we provide clear evidence for a characteristic nodal structure reflecting the previously elusive supersymmetry in the underlying low-energy theory. In particular, we resolve the full sublattice polarisation of the anomalous 0th pseudo-Landau level, which reveals a deep connection to zigzag edge states in the unstrained case.