TY - JOUR
T1 - Magnetoresistance of normal conductor/insulator/perfect conductor composites with a columnar microstructure
AU - Bergman, David J.
AU - Strelniker, Yakov M.
PY - 2000/12/1
Y1 - 2000/12/1
N2 - The in-plane magnetoresistance of columnar composites is studied for a class of three-constituent mixtures of normal conductor, perfect insulator, and perfect conductor, where the magnetic field B is applied in the plane perpendicular to the columnar axis. Exact relations are found between the bulk effective resistivity tensor ρ̂e of such a medium and that of a medium where the perfect insulator and perfect conductor have exchanged their spatial locations. Exact expressions are found in some cases for the leading order large B behavior of ρ̂e for periodic microstructures and certain directions and ranges of directions of B. Numerical calculations are used to compute ρ̂e in those microstructures for all directions of B, and for various magnitudes of B. The different results are compared and their significance is discussed.
AB - The in-plane magnetoresistance of columnar composites is studied for a class of three-constituent mixtures of normal conductor, perfect insulator, and perfect conductor, where the magnetic field B is applied in the plane perpendicular to the columnar axis. Exact relations are found between the bulk effective resistivity tensor ρ̂e of such a medium and that of a medium where the perfect insulator and perfect conductor have exchanged their spatial locations. Exact expressions are found in some cases for the leading order large B behavior of ρ̂e for periodic microstructures and certain directions and ranges of directions of B. Numerical calculations are used to compute ρ̂e in those microstructures for all directions of B, and for various magnitudes of B. The different results are compared and their significance is discussed.
UR - http://www.scopus.com/inward/record.url?scp=0034450870&partnerID=8YFLogxK
U2 - 10.1103/PhysRevB.62.14313
DO - 10.1103/PhysRevB.62.14313
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AN - SCOPUS:0034450870
SN - 0163-1829
VL - 62
SP - 14313
EP - 14325
JO - Physical Review B - Condensed Matter and Materials Physics
JF - Physical Review B - Condensed Matter and Materials Physics
IS - 21
ER -