The two-dimensional white noise problem and localisation in an inversion layer

D. J. Thouless*, M. E. Elzain

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

43 Citations (Scopus)


The density of states in the two-dimensional white noise problem is calculated from the coherent potential approximation at high energy and from fluctuation theory at low energies; both the exponent and the power of E in the prefactor for the density of fluctuation states are evaluated. Comparison is made with the results of a tight binding simulation of the white noise problem, and good agreement between theory and calculation is obtained. Calculation of the conductivity of different sized samples enables the mobility edge to be determined, and it is found that the critical value of g=n(Ec)/n 0 is more than 0.8, in contrast with much lower values suggested earlier. The metallic conductivity is compared with the CPA result, and found to be lower by a factor of 0.4. Some modifications are introduced into the theory when account is taken of orbital degeneracy. Comparison is made with Pollitt's experiments on the inversion layer.

Original languageEnglish
Article number012
Pages (from-to)3425-3438
Number of pages14
JournalJournal of Physics C: Solid State Physics
Issue number16
Publication statusPublished - 1978

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Engineering(all)
  • Physics and Astronomy(all)


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