Bosonic integer quantum Hall effect as topological pumping

Masaya Nakagawa, Shunsuke Furukawa

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

Based on a quasi-one-dimensional limit of quantum Hall states on a thin torus, we construct a model of interaction-induced topological pumping which mimics the Hall response of the bosonic integer quantum Hall (BIQH) state. The quasi-one-dimensional counterpart of the BIQH state is identified as the Haldane phase composed of two-component bosons which form effective spin-1 degrees of freedom. An adiabatic change between the Haldane phase and trivial Mott insulators constitutes off-diagonal topological pumping in which the translation of the lattice potential for one component induces a current in the other. The mechanism of this pumping is interpreted in terms of changes in polarizations between symmetry-protected quantized values.

Original languageEnglish
Article number165116
JournalPhysical Review B
Volume95
Issue number16
DOIs
Publication statusPublished - 2017 Apr 12
Externally publishedYes

Fingerprint

Quantum Hall effect
quantum Hall effect
integers
pumping
Bosons
Polarization
bosons
degrees of freedom
insulators
symmetry
polarization
interactions

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

Cite this

Bosonic integer quantum Hall effect as topological pumping. / Nakagawa, Masaya; Furukawa, Shunsuke.

In: Physical Review B, Vol. 95, No. 16, 165116, 12.04.2017.

Research output: Contribution to journalArticle

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