Strong-field magneto-transport in a composite electrical conductor: Exact asymptotic results

David J. Bergman; Yakov M. Strelniker; Ronen Magier

doi:10.1016/j.physb.2010.01.044

Strong-field magneto-transport in a composite electrical conductor: Exact asymptotic results

David J. Bergman, Yakov M. Strelniker, Ronen Magier

Department of Physics

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

3 Scopus citations

Abstract

When the Hall resistivities of all the constituents of a composite conductor are much greater than the corresponding Ohmic resistivities, the local electric field and current distributions in the system become simpler than in the absence of a magnetic field. Simple, exact, closed-form asymptotic expressions are consequently found for some elements of the macroscopic resistivity tensor of a composite conductor with arbitrary microstructure. Two critical points are identified in the macroscopic response of a composite with a disordered microstructure that does not have to be isotropic.

Original language	English
Pages (from-to)	3037-3041
Number of pages	5
Journal	Physica B: Condensed Matter
Volume	405
Issue number	14
DOIs	https://doi.org/10.1016/j.physb.2010.01.044
State	Published - 2010

Bibliographical note

Funding Information:
Partial support for this research was provided by grants from the US–Israel Binational Science Foundation, the Russia–Israel Science Foundation, and the Israel Science Foundation, and by the KAMEA Fellowship Program of the Ministry of Absorption of the State of Israel.

Funding

Partial support for this research was provided by grants from the US–Israel Binational Science Foundation, the Russia–Israel Science Foundation, and the Israel Science Foundation, and by the KAMEA Fellowship Program of the Ministry of Absorption of the State of Israel.

Funders	Funder number
Ministry of Absorption of the State of Israel
Russia–Israel Science Foundation
United States-Israel Binational Science Foundation
Israel Science Foundation

Keywords

Composite medium
Critical points
Exact results
Magneto-transport

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10.1016/j.physb.2010.01.044

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abstract = "When the Hall resistivities of all the constituents of a composite conductor are much greater than the corresponding Ohmic resistivities, the local electric field and current distributions in the system become simpler than in the absence of a magnetic field. Simple, exact, closed-form asymptotic expressions are consequently found for some elements of the macroscopic resistivity tensor of a composite conductor with arbitrary microstructure. Two critical points are identified in the macroscopic response of a composite with a disordered microstructure that does not have to be isotropic.",

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AU - Magier, Ronen

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Strong-field magneto-transport in a composite electrical conductor: Exact asymptotic results

Abstract

Bibliographical note

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Keywords

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