1999
DOI: 10.1103/physrevb.60.13016
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Magnetotransport in conducting composite films with a disordered columnar microstructure and an in-plane magnetic field

Abstract: Some exact relations are found between different elements of the bulk effective resistivity tensor of a two-component composite medium with a columnar microstructure. A self-consistent effective-medium approximation is constructed that incorporates those relations. This is then used to conduct a theoretical study of magnetotransport in such a medium, which can be implemented experimentally as a thin conducting film with perpendicular cylindrical inclusions. Detailed, explicit results are obtained for a conduct… Show more

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Cited by 63 publications
(46 citation statements)
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References 40 publications
(57 reference statements)
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“…[10][11][12] Other calculations show that the MR also depends strongly on the shape of the conducting inclusions and therewith on the microstructure of the compound. [13][14][15] Above the percolation threshold, when conducting inclusions in an insulating matrix form a continuous network, the magnetoresistance is asymptotically proportional to the magnetic field. 16 Another theoretical explanation was proposed by Abrikosov 17 as a quantum magnetoresistance for a twocomponent system with a zero band gap of the semiconducting matrix.…”
mentioning
confidence: 99%
“…[10][11][12] Other calculations show that the MR also depends strongly on the shape of the conducting inclusions and therewith on the microstructure of the compound. [13][14][15] Above the percolation threshold, when conducting inclusions in an insulating matrix form a continuous network, the magnetoresistance is asymptotically proportional to the magnetic field. 16 Another theoretical explanation was proposed by Abrikosov 17 as a quantum magnetoresistance for a twocomponent system with a zero band gap of the semiconducting matrix.…”
mentioning
confidence: 99%
“…[1] a surprising physical phenomenon was discovered which appears in classical metal/insulator or metal/superconductor composite media with three-dimensional (3D) periodic microstructures, when subject to a strong, externally applied magnetic field. When the field is strong enough, i.e., when the Hall-to-Ohmic resistivity ratio is greater than 1 in at least one constituent of the composite medium, then the magneticfield-dependence of the electrical conductivity of the metallic constituent leads to a strong dependence of the macroscopic resistivity of the composite medium on the strength and direction of the magnetic field with respect to the periodic lattice and the direction of the average current density or average applied electric field [1][2][3][4][5][6][7][8][9][10][11][12][13]. Some of these theoretical predictions are already verified experimentally (see Refs.…”
Section: Introductionmentioning
confidence: 99%
“…Unfortunately materials like Ag, Au, Al, traditionally used in extraordinary light transmission studies, can not be used for such magnetic field sensitive devices, since in such materials the dimensionless magnetic field H ≡ ω c τ = μB is very small due to low electron mobility μ (here ω c = eB/me is the cyclotron frequency, τ is the conductivity relaxation time, B is the magnetic field measured in conventional unites 10,11,13,16,[32][33][34][35][36][37][38][39][40]. In order to see the effect of a static magnetic field on the value of the plasmon frequency ω p , in Ref.…”
Section: Introductionmentioning
confidence: 99%