Percolative conductivity and critical exponents in mixed-valent manganites

Details Percolative conductivity and critical exponents in mixed-valent manganites Percolative conductivity and critical exponents in mixed-valent manganites

2001-02-05

arxiv.org/abs/cond-mat/0102083v1

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, 4 figures. To appear in Rapid Communications of Phys. Rev. B

Scientific paper

10.1103/PhysRevB.63.140418

Recent experiments have shown that some colossal magnetoresistance (CMR) materials exhibit a percolation transition. The conductivity exponent varies substantially with or without an external magnetic field. This finding prompted us to carry out theoretical studies of percolation transition in CMR systems. We find that the percolation transition coincides with the magnetic transition and this causes a large effect of a magnetic field on the percolation transition. Using real-space-renormalization method and numerical calculations for two-dimensional (2D) and three-dimensional (3D) models, we obtain the conductivity exponent $t$ to be 5.3 (3D) and 3.3 (2D) without a magnetic field, and 1.7 (3D) and 1.4 (2D) with a magnetic field.

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