再论无道
Tao-Thouless Revisited
摘要:
1983年,在Laughlin的工作之后不久,Tao和Dilleess为分数量子霍尔效应提出的状态是所谓的Tao-Dilleess极限中的基态,并且它与Laughlin状态有着密切的联系。我们回顾了无道国家的有趣历史,及其概括,并讨论了其相关性和缺点。特别地,我们计算了Tao-Meyer极限下准粒子的排斥统计,并指出了在此极限下阻碍计算分数交换统计的一个主要困难。
英文摘要:
It is now established that the state proposed by Tao and Thouless for the fractional quantum Hall effect in 1983, shortly after Laughlin's work, is the ground state in the so-called Tao-Thouless limit, and that it is adiabatically connected to the Laughlin state. We review the interesting history of the Tao-Thouless state, and its generalizations, and discuss its relevance and shortcomings. In particular, we calculate the exclusion statistics of quasiparticles in the Tao-Thouless limit and point out a principal difficulty which prevents calculation of the fractional exchange statistics in this limit.
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