Density matrix renormalization group study of the ν=1/3 edge states in fractional quantum Hall systems

Takuya Ito, Naokazu Shibata

Research output: Contribution to journalArticlepeer-review

Abstract

The edge states in the fractional quantum Hall systems at filling factor ν=1/3 are studied by the density matrix renormalization group method. It is shown that the density oscillation induced by the local boundary condition at the edge is characterized by the wave number of the minimum magnetoroton excitation, and this structure is partially reconstructed with the change in the confinement potential shape. In particular, the ν=1 counterpropagating edge channel appears with the change in the chemical potential, which is consistent with recent experiments on heat transport. The stability of the bulk states against the change in the number of electrons confirms that the bulk part of the fractional quantum Hall state is incompressible, while the edge state is compressible.

Original languageEnglish
Article number115107
JournalPhysical Review B
Volume103
Issue number11
DOIs
Publication statusPublished - 2021 Mar 4

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

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