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| Autores principales: | , , , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | https://arxiv.org/abs/2407.04132 |
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| _version_ | 1866913487715827712 |
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| author | Topchyan, Hrant Gruzberg, Ilya Nuding, Win Klümper, Andreas Sedrakyan, Ara |
| author_facet | Topchyan, Hrant Gruzberg, Ilya Nuding, Win Klümper, Andreas Sedrakyan, Ara |
| contents | In this paper we propose a new $S$-matrix approach to numerical simulations of network models and apply it to random networks that we proposed in a previous work 10.1103/PhysRevB.95.125414. Random networks are modifications of the Chalker-Coddington (CC) model for the integer quantum Hall transition that more faithfully capture the physics of electrons moving in a strong magnetic field and a smooth disorder potential. The new method has considerable advantages compared to the transfer matrix approach, and gives the value $ν\approx 2.4$ for the critical exponent of the localization length in a random network. This finding confirms our previous result and is surprisingly close to the experimental value $ν_{\text{exp}} \approx 2.38$ observed at the integer quantum Hall transition but substantially different from the CC value $ν_\text{CC} \approx 2.6$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_04132 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The integer quantum Hall transition: an $S$-matrix approach to random networks Topchyan, Hrant Gruzberg, Ilya Nuding, Win Klümper, Andreas Sedrakyan, Ara Disordered Systems and Neural Networks Mesoscale and Nanoscale Physics Statistical Mechanics High Energy Physics - Theory In this paper we propose a new $S$-matrix approach to numerical simulations of network models and apply it to random networks that we proposed in a previous work 10.1103/PhysRevB.95.125414. Random networks are modifications of the Chalker-Coddington (CC) model for the integer quantum Hall transition that more faithfully capture the physics of electrons moving in a strong magnetic field and a smooth disorder potential. The new method has considerable advantages compared to the transfer matrix approach, and gives the value $ν\approx 2.4$ for the critical exponent of the localization length in a random network. This finding confirms our previous result and is surprisingly close to the experimental value $ν_{\text{exp}} \approx 2.38$ observed at the integer quantum Hall transition but substantially different from the CC value $ν_\text{CC} \approx 2.6$. |
| title | The integer quantum Hall transition: an $S$-matrix approach to random networks |
| topic | Disordered Systems and Neural Networks Mesoscale and Nanoscale Physics Statistical Mechanics High Energy Physics - Theory |
| url | https://arxiv.org/abs/2407.04132 |