Incommensurate Moiré Stacking and Landau Quantization Without External Magnetic Field in Turbostratic Graphene
Mona Garg, Ankit Kumar, Deepti Rana, Anmol Arya, Aswini R, Umesh Waghmare, G. U. Kulkarni, Goutam Sheet
Published: 2025/5/9
Abstract
Turbostratic multilayer graphene, composed of randomly twisted and stacked graphene sheets, offers a naturally disordered yet tunable platform for exploring moir\'e physics beyond tedious artificial stacking. Using scanning tunneling microscopy/spectroscopy (STM/STS) and Raman analysis, we uncover a wide distribution of twist angles and stacking configurations spontaneously formed across large-area turbostratic films. In several regions, we identify overlapping incommensurate moir\'e patterns consistent with locally chiral trilayer stacking. We observe van Hove singularities and reconstructed Dirac-like spectra whose angle dependence supports strong interlayer electronic coherence. In the highly strained trilayered regions, we observe peaks in the local density-of states with characteristic scaling of the quantized Landau levels strikingly even in the absence of a magnetic field. They arise from the strain-induced pseudo-magnetic fields (~ 26 T), making turbostratic graphene a single natural platform to explore the physics of moir\'e structures as well as of the pseudo-electromagnetic fields.