A controversial problem: modified Ising model in a random field
- 20 November 1983
- journal article
- Published by IOP Publishing in Journal of Physics C: Solid State Physics
- Vol. 16 (32), 6153-6178
- https://doi.org/10.1088/0022-3719/16/32/009
Abstract
The effect of quenched impurities on a system having a commensurate-incommensurate (CI) phase transition is treated by real-space rescaling. A simplified form of the free energy is treated explicitly. New terms generated by the rescaling procedure do not modify the results. In D=3 dimensions, the Bragg peak shift (misfit) varies linearly with the chemical potential near the CI transition. The CI transition is killed for Dc=2. At the critical dimension, the misfit decreases exponentially for large negative chemical potentials. The model treated here may be considered a modified Ising model in a random field. The modification is a strong anisotropy of the interfaces separating the up and down domains.Keywords
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