Incompressible states of the fractionally quantized Hall effect in the presence of impurities: A finite-size study

E. H. Rezayi, F. D.M. Haldane

Research output: Contribution to journalArticlepeer-review

52 Scopus citations

Abstract

We have studied the effect of impurities on the incompressible states of two-dimensional electrons in a strong magnetic field by finite-size numerical calculations in the spherical geometry. For short-ranged impurity potentials the Laughlin ground state shows no screening and is found to be stable regardless of the potential strength. An analogy with acceptor and donor states of a semiconductor is drawn and ionization energies are estimated.

Original languageEnglish (US)
Pages (from-to)6924-6927
Number of pages4
JournalPhysical Review B
Volume32
Issue number10
DOIs
StatePublished - Jan 1 1985
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics

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