Model for a Macroscopically Disordered Conductor with an Exactly Linear High-Field Magnetoresistance

Details Model for a Macroscopically Disordered Conductor with an Exactly Linear High-Field Magnetoresistance Model for a Macroscopically Disordered Conductor with an Exactly Linear High-Field Magnetoresistance

2005-02-06

arxiv.org/abs/cond-mat/0502162v2

Phys. Rev. B 71, 201304(R) (2005)

Physics

Condensed Matter

Materials Science

4 EPS figures, REVTEX style; Typos and Figures 1 and 2 corrected

Scientific paper

10.1103/PhysRevB.71.201304

We calculate the effective resistivity of a macroscopically disordered two dimensional conductor consisting of two components in a perpendicular magnetic field. When two components have equal area fractions, we use a duality theorem to show that the magnetoresistance is non-saturating and at high fields varies exactly linearly with magnetic field. At other compositions, an effective medium calculation leads to a saturating magnetoresistance. We briefly discuss possible connections between these results and magnetoresistance measurements on heavily disordered chalconide semiconductors.

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