Reconstruction near the interface of a ν=4 and ν=3 QH systems

ORAL

Abstract

We study the Hartree-Fock ground state near the interface between the ν=4 and ν=3 quantum Hall systems. In this problem we have two tuning parameters, w which is the width of interface in units of l (magnetic length), and Ec which is the strength of coulomb interaction in units of the cyclotron energy. In the bulk, for 2.52 < Ec <2.94, the ν=3 state is fully polarised but ν=4 state is a singlet. We have found that in this regime there are two edge phases. Phase 1 has 3 chiral modes, 2 downstream and 1 upstream. In this phase spin is a good quantum number. In Phase 2 we only found 1 chiral mode which is downstream. This phase has a spin rotation and can have a pair of counter propagating neutral modes. We use the time dependent Hartree-Fock method to calculate the collective excitations of these phases.

*G.M. acknowledges support by NSF-DMR 1306897 and US-Israel BSF 2016130,
Y.G. further acknowledges support by DFG RO 2247/11-1

Presenters

  • Amartya Saha

    • Univ of Kentucky

Authors

  • Amartya Saha

    • Univ of Kentucky
  • Suman De

    • Harish-Chandra research Institute
  • Ganpathy Murthy

    • Univ of Kentucky
    • Department of Physics and Astronomy, University of Kentucky
  • Sumathi Rao

    • Harish-Chandra Research Institute, Homi Bhabha National Institute
    • Harish-Chandra research Institute
  • Yuval Gefen

    • The Weizmann Institute of Science
    • Weizmann Institute of Science