Magnetoconductance of two-dimensional systems

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We employ multichannel quantum scattering theory to treat the magnetoconductance of finite-size two-dimensional samples using a non-perturbati ve treatment of sample impurities and the magnetic field. First we study the Aharonov-Bohm effect in a cylindrical geometry with flux along the axis of the cylinder. The periodicity of the average conductance as a function of the flux changes from hc/2e to hc/e as the impurity potential is weakened. Then we consider the conductance of a rectangular sample with impurities subject to transverse magnetic field. First we have studied an impurity-free sample and found σxx(B) decreases monotonically with magnetic field without any oscillation with period of the quantum flux. Second, for weak impurity scattering, <σxx (B)> is smaller (larger) than the impurity-free sample conductivity for small (large) B values.

Original languageEnglish
Pages (from-to)971-981
Number of pages11
JournalPhilosophical Magazine B: Physics of Condensed Matter; Statistical Mechanics, Electronic, Optical and Magnetic Properties
Issue number6
StatePublished - 1 Jan 1987

ASJC Scopus subject areas

  • General Chemical Engineering
  • General Physics and Astronomy


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