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Abstract
摘要 |
The discovery of integer quantum Hall effect (IQHE), a transport quantization phenomenon, heralded a revolution in condensed matter physics. This notwithstanding, IQHE is commonly conceived as being unrelated to chaos ubiquitous in Nature. Indeed, the salient characteristic of chaos – the sensitivity of system’s behavior to disturbances – is conceptually incompatible with the robustness of transport quantization in IQHE. Moreover, while chaos occurs even in simple one-body systems, IQHE is known to be a ground-state property of many-electron systems. Surprisingly, we discover in a canonical chaotic one-body system, the kicked rotor, a Planck's quantum-driven phenomenon bearing a firm analogy to IQHE but of chaotic origin. Our finding indicates that rich topological quantum phenomena can emerge from chaos.
[1] Y. Chen and C. Tian, Physical Review Letters 113 (Editors’Suggestion), 216802 (2014).
[2] C. Tian, Y. Chen, and J. Wang, Physical Review B 93 (Editors’Suggestion), 075403 (2016) (38 pages). |
