Nonequilibrium Green’s function method for a quantum Hall device in a magnetic field

D. Guan, U. Ravaioli, R. W. Giannetta, M. Hannan, I. Adesida, M. R. Melloch

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)


We have developed a practical approach for the inclusion of magnetic fields in the nonequilibrium Green’s function method and we have formulated a general scheme for transport calculations in a multiterminal device with magnetic field. Formulas for the self-energy terms in the presence of magnetic fields have been derived and disorder effects in the potential have been introduced through a model accounting for scattering by impurities. To demonstrate the validity of the model, we have applied it to the quantum Hall effect (QHE), for which a wealth of experimental results and information is readily available. Calculations for a simple structure at zero temperature were first carried out to verify the properties of the solutions over a wide range of conditions. The calculated Green’s function results provide the carrier density distribution in the structure, and in order to analyze the QHE results, the resistances R xx and R xy are obtained using Büttiker’s approach. Our results for the integer QHE show a pattern that clearly resembles the edge state picture of transport. To further validate the theoretical model, comparisons have been conducted with experimental results for a realistic quantum Hall device at finite temperature, obtaining good agreement.

Original languageEnglish
JournalPhysical Review B - Condensed Matter and Materials Physics
Issue number20
Publication statusPublished - May 30 2003
Externally publishedYes

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

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