Anomalous universal quantum transport in 2D asymptotic quasiperiodic system

• URL: http://arxiv.org/abs/2312.04349v3
• Date: Fri, 6 Sep 2024 16:32:39 GMT
• Title: Anomalous universal quantum transport in 2D asymptotic quasiperiodic system
• Authors: Ting-Fung Jeffrey Poon, Yuhao Wan, Yucheng Wang, Xiong-Jun Liu,
• Abstract summary: Quasiperiodic systems extend the concept of the Anderson transition to quasi-random and low-dimensional realms. We predict exotic universal wave-packet dynamics and transport phenomena associated with the quasiperiodicity (AQP) 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.
• Score: 7.144215956189158
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: 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.

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