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Random Ising model in the magnetic field at T = 0

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  • Katsura, Shigetoshi
  • Miyamoto, Nahomi

Abstract

The integral equation for the distribution function of the effective fields in the random Ising model in the finite external field is solved exactly at zero temperature in the one-dimensional case for 1) dilute ferromagnet, 2) dilute antiferromagnet and 3) ±J model. The ground state characteristics of these systems are obtained. In particular the effective fields in the ±J model are shown to have a triangular distribution in the zero external field limit.

Suggested Citation

  • Katsura, Shigetoshi & Miyamoto, Nahomi, 1982. "Random Ising model in the magnetic field at T = 0," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 112(3), pages 393-404.
    • Handle: RePEc:eee:phsmap:v:112:y:1982:i:3:p:393-404
    DOI: 10.1016/0378-4371(82)90186-8
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    References listed on IDEAS

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    1. Katsura, Shigetoshi & Inawashiro, Sakari & Fujiki, Sumiyoshi, 1979. "Spin glasses for the infinitely long ranged bond Ising model and for the short ranged binary bond Ising model without use of the replica method," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 99(1), pages 193-216.
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