Optical Detection of Integer and Fractional QHE in GaAs: Extension to the Electron Solid

  • R. G. Clark
  • R. A. Ford
  • S. R. Haynes
  • J. F. Ryan
  • A. J. Turberßeld
  • P. A. Wright
  • C. T. Foxon
  • J. J. Harris
Part of the Springer Series in Solid-State Sciences book series (SSSOL, volume 101)

Abstract

Ten years on from the discovery of the integer QHE (IQHE) [1], and the subsequent discovery of condensation of electrons into an incompressible liquid — the fractional QHE (FQHE) [2], experiments are still largely restricted to electrical transport studies. Whilst there is a report of an optical measurement of the FQHE in a Si structure at 1.5K [3], optical experiments that probe the QHE in GaAs have remained a major challenge [4,5]. An important advance was made by the observation of anomalies in the energy of photoluminescence near v = 2/3 and v = 1 from a GaAs multiple quantum well at 0.4K [6]. In this paper we report a definitive detection of both the integer and fractional QHE in GaAs, using intrinsic bandgap photoluminescence, by a study of integer states from v = 1 to 10 and of the v = 2/3 hierarchy out to the 5/9 daughter state, in an ultra-high mobility single heterojunction at 120mK [7]. At higher fields the photoluminescence spectra are mapped out at 80mK through FQHE states of the v = 1/3 and 1/5 hierarchies. Of particular interest is a new photoluminescence peak that becomes clearly resolved in the region v < 1/5. The appearance of this peak at v ≃ 1/5 correlates with the rapid onset of a substantial non-linear out-of-phase conduction that has recently been shown to arise from threshold behaviour that may be associated with crystallisation [8, 9]. It also correlates in filling factor with the onset of a resonant radio-frequency absorption in this sample which maps out a phase boundary in the B-T plane [8].

Keywords

Recombination GaAs 

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Copyright information

© Springer-Verlag Berlin Heidelberg 1992

Authors and Affiliations

  • R. G. Clark
    • 1
  • R. A. Ford
    • 1
  • S. R. Haynes
    • 1
  • J. F. Ryan
    • 1
  • A. J. Turberßeld
    • 1
  • P. A. Wright
    • 1
  • C. T. Foxon
    • 2
  • J. J. Harris
    • 2
  1. 1.Clarendon LaboratoryUniversity of OxfordOxfordUK
  2. 2.Philips Research LaboratoriesRedhillUK

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