Anomalous universal quantum transport in 2D asymptotic quasiperiodic system
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
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2023
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| _version_ | 1866912447905923072 |
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| author | Poon, Ting-Fung Jeffrey Wan, Yuhao Wang, Yucheng Liu, Xiong-Jun |
| author_facet | Poon, Ting-Fung Jeffrey Wan, Yuhao Wang, Yucheng Liu, Xiong-Jun |
| contents | Quasiperiodic systems extend the concept of the Anderson transition to quasi-random and low-dimensional realms and have garnered widespread attention. Here, we propose the asymptotic quasiperiodic two-dimensional systems characterized by a sequence of rational magnetic fluxes, which have an irrational limit, and predict exotic universal wave-packet dynamics and transport phenomena associated with the asymptotic quasiperiodicity (AQP). The predictions unveil a class of multiple metal-insulator transitions driven by a novel interplay effect between AQP, relaxation, and finite temperature, which further reveals a unified and profound mechanism. Specifically, all the transport phenomena, including the wave-packet dynamics, the bulk and edge transport, are unified in the universal scaling laws unveiled in the asymptotic quasiperiodic regime, which demonstrate a nontrivial asymptotic connection to quantum phases in the quasiperiodic limit. Our work enriches the universal quantum transport phenomena, adds to the basic mechanisms underlying metal-insulator transitions, and opens up an avenue to study the exotic transport physics with AQP in high dimensions. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2312_04349 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Anomalous universal quantum transport in 2D asymptotic quasiperiodic system Poon, Ting-Fung Jeffrey Wan, Yuhao Wang, Yucheng Liu, Xiong-Jun Mesoscale and Nanoscale Physics Disordered Systems and Neural Networks Quantum Gases Statistical Mechanics Quantum Physics Quasiperiodic systems extend the concept of the Anderson transition to quasi-random and low-dimensional realms and have garnered widespread attention. Here, we propose the asymptotic quasiperiodic two-dimensional systems characterized by a sequence of rational magnetic fluxes, which have an irrational limit, and predict exotic universal wave-packet dynamics and transport phenomena associated with the asymptotic quasiperiodicity (AQP). The predictions unveil a class of multiple metal-insulator transitions driven by a novel interplay effect between AQP, relaxation, and finite temperature, which further reveals a unified and profound mechanism. Specifically, all the transport phenomena, including the wave-packet dynamics, the bulk and edge transport, are unified in the universal scaling laws unveiled in the asymptotic quasiperiodic regime, which demonstrate a nontrivial asymptotic connection to quantum phases in the quasiperiodic limit. Our work enriches the universal quantum transport phenomena, adds to the basic mechanisms underlying metal-insulator transitions, and opens up an avenue to study the exotic transport physics with AQP in high dimensions. |
| title | Anomalous universal quantum transport in 2D asymptotic quasiperiodic system |
| topic | Mesoscale and Nanoscale Physics Disordered Systems and Neural Networks Quantum Gases Statistical Mechanics Quantum Physics |
| url | https://arxiv.org/abs/2312.04349 |