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

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)4473-4476
Number of pages4
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume61
Issue number7
DOIs
Publication statusPublished - Jan 1 2000
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

Fingerprint Dive into the research topics of 'Unified approach to quasi-particle excitations in the edge states of paired Hall states'. Together they form a unique fingerprint.

Cite this