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Tao-Thouless Revisited

2009/07/03 by T. H. Hansson, Hansson, T. H., A. Karlhede +1 · 1 citation
Physics and Astronomy · Social Sciences · #Chinese history and philosophy #FOS: Physical sciences #Strongly Correlated Electrons (cond-mat.str-el) #cond-mat.str-el

paper · pdf · doi:10.48550/arxiv.0907.0672

6 pages, 2 figures

arxiv created 2009/07/03 · openalex publication_date 2009/07/03 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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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