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

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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

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elementary excitations
Supersymmetry
Wave functions
Ground state
excitation
Specific heat
Distribution functions
Statistics
exclusion
supersymmetry
partitions
distribution functions
statistics
specific heat
wave functions
ground state

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

Cite this

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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.",
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