Local Density of States as a Probe of Multifractality in Quasiperiodic Moiré Materials
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arXiv
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| Autori principali: | , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866917037225279488 |
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| author | Oliveira, Ricardo Sobrosa, Nicolau Ribeiro, Pedro Amorim, Bruno Castro, Eduardo V. |
| author_facet | Oliveira, Ricardo Sobrosa, Nicolau Ribeiro, Pedro Amorim, Bruno Castro, Eduardo V. |
| contents | Quasiperiodic moiré materials provide a new platform for realizing critical electronic states, yet a direct and experimentally practical method to characterize this criticality has been lacking. We show that a multifractal analysis of the local density of states (LDOS), accessible via scanning tunneling microscopy, offers an unambiguous signature of criticality from a single experimental sample. Applying this approach to a one-dimensional quasiperiodic model, a stringent test case due to its fractal energy spectrum, we find a clear distinction between the broad singularity spectra $f\left(α\right)$ of critical states and the point-like spectra of extended states. We further demonstrate that these multifractal signatures remain robust over a wide range of energy broadenings relevant to experiments. Our results establish a model-independent, experimentally feasible framework for identifying and probing multifractality in the growing family of quasiperiodic and moiré materials. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_20575 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Local Density of States as a Probe of Multifractality in Quasiperiodic Moiré Materials Oliveira, Ricardo Sobrosa, Nicolau Ribeiro, Pedro Amorim, Bruno Castro, Eduardo V. Disordered Systems and Neural Networks Quasiperiodic moiré materials provide a new platform for realizing critical electronic states, yet a direct and experimentally practical method to characterize this criticality has been lacking. We show that a multifractal analysis of the local density of states (LDOS), accessible via scanning tunneling microscopy, offers an unambiguous signature of criticality from a single experimental sample. Applying this approach to a one-dimensional quasiperiodic model, a stringent test case due to its fractal energy spectrum, we find a clear distinction between the broad singularity spectra $f\left(α\right)$ of critical states and the point-like spectra of extended states. We further demonstrate that these multifractal signatures remain robust over a wide range of energy broadenings relevant to experiments. Our results establish a model-independent, experimentally feasible framework for identifying and probing multifractality in the growing family of quasiperiodic and moiré materials. |
| title | Local Density of States as a Probe of Multifractality in Quasiperiodic Moiré Materials |
| topic | Disordered Systems and Neural Networks |
| url | https://arxiv.org/abs/2510.20575 |