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Universality in three dimensional random-field ground states

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Hartmann_1999_Universality_Random_field.pdf
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1999

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Hartmann, Alexander K.

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European Physical Journal / B. 1999, 7(1), pp. 105-109. Available under: doi: 10.1007/s100510050593

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We investigate the critical behavior of three-dimensional random-field Ising systems with both Gauss and bimodal distribution of random fields and additional the three dimensional diluted Ising antiferromagnet in an external field. These models are expected to be in the same universality class. We use exact ground-state calculations with an integer optimization algorithm and by a finite-size scaling analysis we calculate the critical exponents v, β, and γ. While the random-field model with Gauss distribution of random fields and the diluted antiferromagnet appear to be in same universality class, the critical exponents of the random-field model with bimodal distribution of random fields seem to be significantly different.

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ISO 690HARTMANN, Alexander K., Ulrich NOWAK, 1999. Universality in three dimensional random-field ground states. In: European Physical Journal / B. 1999, 7(1), pp. 105-109. Available under: doi: 10.1007/s100510050593
BibTex
@article{Hartmann1999Unive-9316,
  year={1999},
  doi={10.1007/s100510050593},
  title={Universality in three dimensional random-field ground states},
  number={1},
  volume={7},
  journal={European Physical Journal / B},
  pages={105--109},
  author={Hartmann, Alexander K. and Nowak, Ulrich}
}
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