Magnetoconductance of two-dimensional systems

Yshai Avishai; Yehuda B. Band; Baruch Horovitz

doi:10.1080/13642818708215334

Magnetoconductance of two-dimensional systems

Yshai Avishai, Yehuda B. Band, Baruch Horovitz

Research output: Contribution to journal › Article › peer-review

Abstract

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 σ_xx(B) decreases monotonically with magnetic field without any oscillation with period of the quantum flux. Second, for weak impurity scattering, <σ_xx (B)> is smaller (larger) than the impurity-free sample conductivity for small (large) B values.

Original language	English
Pages (from-to)	971-981
Number of pages	11
Journal	Philosophical Magazine B: Physics of Condensed Matter; Statistical Mechanics, Electronic, Optical and Magnetic Properties
Volume	56
Issue number	6
DOIs	https://doi.org/10.1080/13642818708215334
State	Published - 1 Jan 1987

ASJC Scopus subject areas

General Chemical Engineering
General Physics and Astronomy

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title = "Magnetoconductance of two-dimensional systems",

abstract = "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.",

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AU - Band, Yehuda B.

AU - Horovitz, Baruch

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AB - 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.

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Magnetoconductance of two-dimensional systems

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