Laughlin's argument for the quantized thermal Hall effect

研究成果: Article

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We extend Laughlin's magnetic-flux-threading argument to the quantized thermal Hall effect. A proper analog of Laughlin's adiabatic magnetic-flux threading process for the case of the thermal Hall effect is given in terms of an external gravitational field. From the perspective of the edge theories of quantum Hall systems, the quantized thermal Hall effect is closely tied to the breakdown of large diffeomorphism invariance, that is, a global gravitational anomaly. In addition, we also give an argument from the bulk perspective in which a free energy, decomposed into its Fourier modes, is adiabatically transferred under an adiabatic process involving external gravitational perturbations.

元の言語English
記事番号165405
ジャーナルPhysical Review B
95
発行部数16
DOI
出版物ステータスPublished - 2017 4 6

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

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