Semicircle: An exact relation in the integer and fractional quantum Hall effect

M. Hilke, D. Shahar, S. H. Song, D. C. Tsui, Y. H. Xie, M. Shayegan

Research output: Contribution to journalArticle

32 Scopus citations

Abstract

We present experimental results on the quantized Hall insulator in two dimensions. This insulator, with vanishing conductivities, is characterized by the quantization (within experimental accuracy) of the Hall resistance in units of the quantum unit of resistance, h/e2. The measurements were performed in a two-dimensional hole system, confined in a Ge/SiGe quantum well, when the magnetic field is increased above the ν = 1 quantum Hall state. This quantization leads to a nearly perfect semicircle relation for the diagonal and Hall conductivities. Similar results are obtained with a higher-mobility n-type modulation-doped GaAs/AlGaAs sample, when the magnetic field is increased above the ν = 1/3 fractional quantum Hall state.

Original languageEnglish (US)
Pages (from-to)775-779
Number of pages5
JournalEurophysics Letters
Volume46
Issue number6
DOIs
StatePublished - Jun 15 1999

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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