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A recently developed self-consistent effective medium approximation, forcomposites with a columnar microstructure, is applied to such athree-constituent mixture of isotropic normal conductor, perfect insulator, andperfect conductor, where a strong magnetic field {\bf B} is present in theplane perpendicular to the columnar axis. When the insulating and perfectlyconducting constituents do not percolate in that plane, themicrostructure-induced in-plane magnetoresistance is found to saturate forlarge {\bf B}, if the volume fraction of the perfect conductor $p_S$ is greaterthan that of the perfect insulator $p_I$. By contrast, if $p_S<p_I$, thatmagnetoresistance keeps increasing as ${\bf B}^2$ without ever saturating. Thisabrupt change in the macroscopic response, which occurs when $p_S=p_I$, is acritical point, with the associated critical exponents and scaling behaviorthat are characteristic of such points. The physical reasons for the singularbehavior of the macroscopic response are discussed. A new type of percolationprocess is apparently involved in this phenomenon.Comment: 4 pages, 1 figur

physical review. b, condensed matter

Critical point in the strong-field magnetoresistance of a normal conductor/perfect insulator/perfect conductor composite with a random columnar microstructure