Anderson transition symmetries at the band-edge of a correlated Sn/Si monolayer
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arXiv
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| Autori principali: | , , , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866915554325954560 |
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| author | Lizée, Mathieu Torkzadeh, Mohammadmehdi Debontridder, François Hervé, Marie Brun, Christophe Burmistrov, Igor Cren, Tristan |
| author_facet | Lizée, Mathieu Torkzadeh, Mohammadmehdi Debontridder, François Hervé, Marie Brun, Christophe Burmistrov, Igor Cren, Tristan |
| contents | Anderson localization is predicted to enhance the critical temperature of disordered superconductors. Despite a huge body of theoretical work based on non-linear sigma models, experiments are lacking to understand correlated electrons in disordered potentials. In this study, we investigate a tin monolayer on silicon, a material known for its likely antiferromagnetic Mott-correlated groundstate. We analyze the statistical properties of tunneling conductance maps of increasingly localized states as we approach the edge of the valence band. Using multifractal analysis, we show that the system follows an exact symmetry relation based on the algebraic structure of nonlinear sigma-models (NLsMs). We anticipate that this symmetry may be broken in specific - e.g. chiral electronic phases. Finally, we point out that multifractal analysis can equally be applied to universal conductance fluctuations in magneto-transport experiments, thus providing a powerful tool to probe the underlying symmetries of disordered electronic phases. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_13878 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Anderson transition symmetries at the band-edge of a correlated Sn/Si monolayer Lizée, Mathieu Torkzadeh, Mohammadmehdi Debontridder, François Hervé, Marie Brun, Christophe Burmistrov, Igor Cren, Tristan Mesoscale and Nanoscale Physics Disordered Systems and Neural Networks Strongly Correlated Electrons Anderson localization is predicted to enhance the critical temperature of disordered superconductors. Despite a huge body of theoretical work based on non-linear sigma models, experiments are lacking to understand correlated electrons in disordered potentials. In this study, we investigate a tin monolayer on silicon, a material known for its likely antiferromagnetic Mott-correlated groundstate. We analyze the statistical properties of tunneling conductance maps of increasingly localized states as we approach the edge of the valence band. Using multifractal analysis, we show that the system follows an exact symmetry relation based on the algebraic structure of nonlinear sigma-models (NLsMs). We anticipate that this symmetry may be broken in specific - e.g. chiral electronic phases. Finally, we point out that multifractal analysis can equally be applied to universal conductance fluctuations in magneto-transport experiments, thus providing a powerful tool to probe the underlying symmetries of disordered electronic phases. |
| title | Anderson transition symmetries at the band-edge of a correlated Sn/Si monolayer |
| topic | Mesoscale and Nanoscale Physics Disordered Systems and Neural Networks Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2502.13878 |