Home > Research > Publications & Outputs > Quantum versus semiclassical analysis of the co...

Electronic data

  • Hayne PRB 56 10446 1997

    Rights statement: © 1997 The American Physical Society

    Final published version, 125 KB, PDF document


Text available via DOI:

View graph of relations

Quantum versus semiclassical analysis of the conductivity of two-dimensional electrons in a magnetic field

Research output: Contribution to journalJournal articlepeer-review

  • M Hayne
  • Alan Usher
  • Jeffery J Harris
  • C Tom Foxon
<mark>Journal publication date</mark>15/10/1997
<mark>Journal</mark>Physical review B
Issue number16
Number of pages7
Pages (from-to)10446-10452
Publication StatusPublished
<mark>Original language</mark>English


We present experimental evidence for the levitation of extended slates of a two-dimensional electron system in a magnetic field, and establish the presence of alternating regions of localized and extended states in the density of states to Landau-level filling factors (nu) as high as 80. Monitoring the Hall voltage of a modulation-doped GaAs/AlxGa1-xAs heterojunction at fixed magnetic field during continuous illumination from light-emitting diodes reveals a steplike structure with plateaus at even integer nu between 22 and 80 at a temperature of 0.3 K. We derive a general expression for the conductivity due to rectangular bands of extended states, and show that the observed temperature dependence of the Shubnikov-de Haas oscillations is consistent with this picture. An analysis of the oscillations using this expression reveals the predicted levitation of the extended states.

Bibliographic note

© 1997 The American Physical Society