One-dimensional Ising model with long-range and random short-range interactions

Details One-dimensional Ising model with long-range and random short-range interactions One-dimensional Ising model with long-range and random short-range interactions

1998-09-02

arxiv.org/abs/cond-mat/9809050v1

J. Magn. Magn. Mater. 192, 177 (1999)

Physics

Condensed Matter

Statistical Mechanics

11 pages, 19 figures, to be published in Journal of Magnetism and Magnetic Materials

Scientific paper

10.1016/S0304-8853(98)00362-X

The one-dimensional Ising model in an external magnetic field with uniform long-range interactions and random short-range interactions satisfying bimodal annealed distributions is studied. This generalizes the random model discussed by Paladin et al. (J. Phys. I France 4, 1994, p. 1597). Exact results are obtained for the thermodynamic functions at arbitrary temperatures, and special attention is given to the induced and spontaneous magnetization. At low temperatures the system can exist in a ``ferrimagnetic'' phase with magnetization 0

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