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Physics Conferences The 3rd East Asia Joint Seminar on Statistical Physics
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The kicked rotor: from KAM to integer quantum Hall effect
SPEAKER  |  Chushun Tian
INSTITUTE  |  IAS & Tsinghua University
DATE  |  October 16(Fri), 2015
TIME  |  10:00
PLACE  |  Rm 1503(Bldg#I,5th), Korea Institute for Advanced Study, South Korea
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ABSTRACT  |  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 systemí»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 a Planck's quantumdriven phenomenon bearing a firm analogy to IQHE but of chaotic origin. Our finding indicates that rich topological quantum phenomena can emerge from chaos. Reference 1. Y. Chen and C. Tian, Physical Review Letters 113 (Editorsí» Suggestion), 216802 (2014).
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