Kaul, S. N. ; Babu, P. D. (1994) Detailed magnetization study of quenched random ferromagnets. II. Site dilution and percolation exponents Physical Review B: Condensed Matter and Materials Physics, 50 (13). pp. 9323-9330. ISSN 1098-0121
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Official URL: http://prb.aps.org/abstract/PRB/v50/i13/p9323_1
Related URL: http://dx.doi.org/10.1103/PhysRevB.50.9323
Abstract
We report the experimental determination of the crossover exponent (φ) and the percolation critical exponents for magnetization (βp) and spin-wave stiffness (θ) for quench-disordered (amorphous) three-dimensional (d=3) dilute Heisenberg ferromagnets. The values of φ, θ, and βp, so obtained, as well as those of the percolation correlation-length critical exponent Vp and the conductivity exponent σ , deduced from the exponent equalities Vp=φ-(θ/2) and σ=(d-2)Vp+φ, conform very well with the most accurate theoretical estimates published recently. A comparison of the presently determined exponent values with those theoretically predicted for site or bond percolation on a d=3 crystalline lattice asserts that the critical behavior of percolation on a regular d=3 lattice does not get altered in the presence of quenched randomness if the specific-heat exponent of the regular system is negative. Consistent with the Alexander-Orbach conjecture (Golden inquality), the fracton dimensionality d¯ of the percolating cluster at threshold (the conductivity exponent s) turns out to be d¯ ≈4/3 (σ≤ 2). The present results vindicate the universality hypothesis.
Item Type: | Article |
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Source: | Copyright of this article belongs to American Physical Society. |
ID Code: | 29819 |
Deposited On: | 23 Dec 2010 04:39 |
Last Modified: | 07 Jun 2011 04:25 |
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