The strong-field magneto-transport in a generic three-dimensional composite with a periodic microstructure where all the constituents are normal metals is considered. The macroscopic response in such systems turns out to be considerably simpler than it is in the absence of a magnetic field. Closed form asymptotic expressions are found for the microscopic current distributions and macroscopic effective magneto-resistivity tensor components. Numerical calculations of the current distributions and effective magneto-resistivity tensor components are also performed and compared with the closed form asymptotic expressions. A new critical point is identified.
Bibliographical noteFunding Information:
Partial support for this research was provided by grants from the US–Israel Binational Science Foundation and the Israel Science Foundation, and by the KAMEA Program of the Ministry of Absorption of the State of Israel.
- Composite media