Quasi-particle tunneling in anti-pfaffian quantum hall state

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Abstract

We study tunneling phenomena at the edge of the anti-Pfaffian quantum Hall state at the filling factor ν = 5=2. The edge current in a single point-contact is considered. We focus on nonlinear behavior of two-terminal conductance with the increase in negative split-gate voltage. Expecting the appearance of the intermediate conductance plateau we calculate the value of its conductance by using the renormalization group (RG) analysis. Further, we show that nonperturbative quasi-particle tunneling is effectively described as perturbative electron tunneling by the instanton method. The two-terminals conductance is written as a function of the gate voltage. The obtained results enable us to distinguish the anti-Pfaffian state from the Pfaffian state experimentally.

Original languageEnglish
Article number083705
Journaljournal of the physical society of japan
Volume81
Issue number8
DOIs
Publication statusPublished - 2012 Aug

Keywords

  • Anti-Pfaffian
  • Fractional
  • Instanton
  • Moore-Read
  • Non-abelian
  • Pfaffian
  • Point contact
  • Quantum Hall
  • ν = 5=2

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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