Emergent fractals in hBN-encapsulated graphene based supermoiré structures and their experimental signatures
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arXiv
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866912247826087936 |
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| author | Aggarwal, Deepanshu Narula, Rohit Ghosh, Sankalpa |
| author_facet | Aggarwal, Deepanshu Narula, Rohit Ghosh, Sankalpa |
| contents | Supermoiré structures (SMS), formed by overlapping moiré-patterns in van der Waals heterostructures, display complex behaviour that lacks a comprehensive low-energy theoretical description. We demonstrate that these structures can form emergent fractals under specific conditions and identify the parameter space where this occurs in hexagonal trilateral SMS. This fractality enables a reliable calculation of low-energy band counts, which are crucial for understanding both single-particle and correlation effects. Using an effective Hamiltonian that includes in- and out-of-plane lattice relaxation, we analyze SMS in hBN-encapsulated single and bilayer graphene. We prescribe methods to experimentally verify these fractals and extract their fractal dimension through angle-resolved photoemission spectroscopy (ARPES) and scanning tunneling microscopy (STM). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_19017 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Emergent fractals in hBN-encapsulated graphene based supermoiré structures and their experimental signatures Aggarwal, Deepanshu Narula, Rohit Ghosh, Sankalpa Mesoscale and Nanoscale Physics Strongly Correlated Electrons Supermoiré structures (SMS), formed by overlapping moiré-patterns in van der Waals heterostructures, display complex behaviour that lacks a comprehensive low-energy theoretical description. We demonstrate that these structures can form emergent fractals under specific conditions and identify the parameter space where this occurs in hexagonal trilateral SMS. This fractality enables a reliable calculation of low-energy band counts, which are crucial for understanding both single-particle and correlation effects. Using an effective Hamiltonian that includes in- and out-of-plane lattice relaxation, we analyze SMS in hBN-encapsulated single and bilayer graphene. We prescribe methods to experimentally verify these fractals and extract their fractal dimension through angle-resolved photoemission spectroscopy (ARPES) and scanning tunneling microscopy (STM). |
| title | Emergent fractals in hBN-encapsulated graphene based supermoiré structures and their experimental signatures |
| topic | Mesoscale and Nanoscale Physics Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2502.19017 |