Critical points in the macroscopic magneto-transport of three-constituent composites

David J. Bergman

doi:10.1016/j.physb.2003.08.013

Critical points in the macroscopic magneto-transport of three-constituent composites

David J. Bergman^*

^*Corresponding author for this work

School of Physics and Astronomy

Research output: Contribution to journal › Conference article › peer-review

1 Scopus citations

Abstract

The magneto-transport in a composite medium, made of normal conductor, perfect insulator, and perfect conductor constituents, exhibits singular or critical point behavior at certain compositions of a disordered microstructure and for certain directions of the average current density in an ordered microstructure. This kind of behavior occurs when the Hall conductivity of the normal constituent is much greater than its transverse Ohmic conductivity, but much less than its longitudinal Ohmic conductivity, e.g., if that constituent is a free-electron conductor and a strong magnetic field is applied. This critical behavior is sometimes related to the phenomenon of anisotropic percolation. The local behavior of current flow paths which leads to this behavior is described.

Original language	English
Pages (from-to)	323-328
Number of pages	6
Journal	Physica B: Condensed Matter
Volume	338
Issue number	1-4
DOIs	https://doi.org/10.1016/j.physb.2003.08.013
State	Published - Oct 2003
Event	Proceedings of the Sixth International Conference on Electrica (ETOPIM 6) - Snowbird, UT, United States Duration: 15 Jul 2002 → 19 Jul 2002

Funding

Funders	Funder number
United States-Israel Binational Science Foundation
Israel Science Foundation

Keywords

Anisotropic percolation
Composite media
Magneto-resistance
Magneto-transport

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10.1016/j.physb.2003.08.013

Cite this

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title = "Critical points in the macroscopic magneto-transport of three-constituent composites",

abstract = "The magneto-transport in a composite medium, made of normal conductor, perfect insulator, and perfect conductor constituents, exhibits singular or critical point behavior at certain compositions of a disordered microstructure and for certain directions of the average current density in an ordered microstructure. This kind of behavior occurs when the Hall conductivity of the normal constituent is much greater than its transverse Ohmic conductivity, but much less than its longitudinal Ohmic conductivity, e.g., if that constituent is a free-electron conductor and a strong magnetic field is applied. This critical behavior is sometimes related to the phenomenon of anisotropic percolation. The local behavior of current flow paths which leads to this behavior is described.",

keywords = "Anisotropic percolation, Composite media, Magneto-resistance, Magneto-transport",

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note = "Funding Information: This research was supported, in part, by grants from the US–Israel Binational Science Foundation and the Israel Science Foundation.; Proceedings of the Sixth International Conference on Electrica (ETOPIM 6) ; Conference date: 15-07-2002 Through 19-07-2002",

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AB - The magneto-transport in a composite medium, made of normal conductor, perfect insulator, and perfect conductor constituents, exhibits singular or critical point behavior at certain compositions of a disordered microstructure and for certain directions of the average current density in an ordered microstructure. This kind of behavior occurs when the Hall conductivity of the normal constituent is much greater than its transverse Ohmic conductivity, but much less than its longitudinal Ohmic conductivity, e.g., if that constituent is a free-electron conductor and a strong magnetic field is applied. This critical behavior is sometimes related to the phenomenon of anisotropic percolation. The local behavior of current flow paths which leads to this behavior is described.

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Critical points in the macroscopic magneto-transport of three-constituent composites

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