Multifractal and Ergodic Properties of Conductance Fluctuations under Strong Disorder
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , , , , , |
|---|---|
| Format: | Preprint |
| Publié: |
2026
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866909045874491392 |
|---|---|
| author | de Sousa, Marcos A. A. Publio, Heitor R. de Lima, Henrique A. de Souza, Adauto J. F. Oliveira, Fernando A. Barbosa, Anderson L. R. |
| author_facet | de Sousa, Marcos A. A. Publio, Heitor R. de Lima, Henrique A. de Souza, Adauto J. F. Oliveira, Fernando A. Barbosa, Anderson L. R. |
| contents | Understanding the stochastic properties of conductance fluctuations in disordered mesoscopic systems is fundamental to quantum transport. In this work, we investigate the multifractal and ergodic properties of the fictitious time series of conductance in two-dimensional tight-binding models under varying Anderson disorder. Using standard multifractal analysis, we show that conductance fluctuations exhibit a transition from non-ergodic to ergodic behavior as the disorder strength increases, as evidenced by the decay of the conductance correlation function. Remarkably, multifractality persists in both regimes; however, it becomes insensitive to shuffling in the strong-disorder (ergodic) regime, suggesting that distributional effects dominate temporal organization. On the contrary, in the weakly disordered (non-ergodic) regime, long-range correlations play a significant role. These findings are robust against changes in lead geometry (asymmetric vs. symmetric). Our results provide new insights into the interplay between ergodicity, multifractality, and rare events in disordered quantum transport. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_15447 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Multifractal and Ergodic Properties of Conductance Fluctuations under Strong Disorder de Sousa, Marcos A. A. Publio, Heitor R. de Lima, Henrique A. de Souza, Adauto J. F. Oliveira, Fernando A. Barbosa, Anderson L. R. Mesoscale and Nanoscale Physics Statistical Mechanics Understanding the stochastic properties of conductance fluctuations in disordered mesoscopic systems is fundamental to quantum transport. In this work, we investigate the multifractal and ergodic properties of the fictitious time series of conductance in two-dimensional tight-binding models under varying Anderson disorder. Using standard multifractal analysis, we show that conductance fluctuations exhibit a transition from non-ergodic to ergodic behavior as the disorder strength increases, as evidenced by the decay of the conductance correlation function. Remarkably, multifractality persists in both regimes; however, it becomes insensitive to shuffling in the strong-disorder (ergodic) regime, suggesting that distributional effects dominate temporal organization. On the contrary, in the weakly disordered (non-ergodic) regime, long-range correlations play a significant role. These findings are robust against changes in lead geometry (asymmetric vs. symmetric). Our results provide new insights into the interplay between ergodicity, multifractality, and rare events in disordered quantum transport. |
| title | Multifractal and Ergodic Properties of Conductance Fluctuations under Strong Disorder |
| topic | Mesoscale and Nanoscale Physics Statistical Mechanics |
| url | https://arxiv.org/abs/2605.15447 |