Observation of supersymmetric pseudo-Landau levels in strained microwave graphene

摘要

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.