Unified approach to quasi-particle excitations in the edge states of paired Hall states

研究成果: Contribution to journalArticle査読

1 被引用数 (Scopus)

抄録

We consider the edge states of the quantum Hall paired states, which were introduced as the ground-state wave function for (Formula presented) We propose that the paired Hall states such as the Haldane-Rezayi state and the Pfaffian state have the supersymmetry, and we clarify the exclusion statistics of the quasi-particle excitations. By use of an idea of the “restricted partition function” for the quasi-particle excitations and its relationship with the q-special functions, we explicitly compute the distribution functions for the quasi-particle. We also calculate the specific heat and show that our results coincide with previously reported results based on the conformal field theory. We further show that there is a duality between the Pfaffian state and the Haldane-Rezayi state.

本文言語英語
ページ(範囲)4473-4476
ページ数4
ジャーナルPhysical Review B - Condensed Matter and Materials Physics
61
7
DOI
出版ステータス出版済み - 2000
外部発表はい

All Science Journal Classification (ASJC) codes

  • 電子材料、光学材料、および磁性材料
  • 凝縮系物理学

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