Robust extended states in Anderson model on partially disordered random regular graphs
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866913325530480640 |
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| author | Kochergin, Daniil Khaymovich, Ivan M. Valba, Olga Gorsky, Alexander |
| author_facet | Kochergin, Daniil Khaymovich, Ivan M. Valba, Olga Gorsky, Alexander |
| contents | In this work we analytically explain the origin of the mobility edge in the partially disordered random regular graphs of degree d, i.e., with a fraction $β$ of the sites being disordered, while the rest remain clean. It is shown that the mobility edge in the spectrum survives in {a certain range of parameters} $(d,β)$ at infinitely large uniformly distributed disorder. The critical curve separating extended and localized states is derived analytically and confirmed numerically. The duality in the localization properties between the sparse and extremely dense RRG has been found and understood. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_05691 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Robust extended states in Anderson model on partially disordered random regular graphs Kochergin, Daniil Khaymovich, Ivan M. Valba, Olga Gorsky, Alexander Disordered Systems and Neural Networks Statistical Mechanics High Energy Physics - Theory Quantum Physics In this work we analytically explain the origin of the mobility edge in the partially disordered random regular graphs of degree d, i.e., with a fraction $β$ of the sites being disordered, while the rest remain clean. It is shown that the mobility edge in the spectrum survives in {a certain range of parameters} $(d,β)$ at infinitely large uniformly distributed disorder. The critical curve separating extended and localized states is derived analytically and confirmed numerically. The duality in the localization properties between the sparse and extremely dense RRG has been found and understood. |
| title | Robust extended states in Anderson model on partially disordered random regular graphs |
| topic | Disordered Systems and Neural Networks Statistical Mechanics High Energy Physics - Theory Quantum Physics |
| url | https://arxiv.org/abs/2309.05691 |