Microscopic study of edge excitations of spin-polarized and spin-unpolarized ν=2/3 fractional quantum Hall effect

Ying Hai Wu, G. J. Sreejith, Jainendra K. Jain

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14 Scopus citations

Abstract

The edge of spin-unpolarized or spin-polarized ν=2/3 fractional quantum Hall states is predicted by the effective theory to support a backward-moving neutral mode in addition to a forward-moving charge mode. We study this issue from a microscopic perspective where these states are identified with an effective filling factor of 2 of composite fermions, but with an effective magnetic field that is antiparallel to the external field. A simple counting from the composite fermion description suggests that there might be two backward-moving edge modes, but explicit calculations show that one of these is projected out of the low-energy sector, while the remaining mode provides a good microscopic account of the actual counterpropagating edge mode. The forward-moving modes are identified as "Schur modes," obtained by multiplying the ground-state wave function by the symmetric Schur polynomials. The edge of the 2/3 spin unpolarized state provides a particularly striking realization of "spin-charge separation" in one-dimensional Tomonaga-Luttinger liquids, with the spin and charge modes moving in opposite directions.

Original languageEnglish (US)
Article number115127
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume86
Issue number11
DOIs
StatePublished - Sep 20 2012

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

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