### Abstract

Original language | English |
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Article number | L07001 |

Journal | Journal of Statistical Mechanics: Theory and Experiment |

Volume | 2008 |

DOIs | |

Publication status | Published - 24 Jul 2008 |

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### Bibliographical note

The full text is not available on the repository.### Cite this

*Journal of Statistical Mechanics: Theory and Experiment*,

*2008*, [L07001]. https://doi.org/10.1088/1742-5468/2008/07/L07001

**Wang–Landau study of the random bond square Ising model with nearest- and next-nearest-neighbor interactions.** / Fytas, Nikolaos G.; Malakis, A.; Georgiou, I.

Research output: Contribution to journal › Article

*Journal of Statistical Mechanics: Theory and Experiment*, vol. 2008, L07001. https://doi.org/10.1088/1742-5468/2008/07/L07001

}

TY - JOUR

T1 - Wang–Landau study of the random bond square Ising model with nearest- and next-nearest-neighbor interactions

AU - Fytas, Nikolaos G.

AU - Malakis, A.

AU - Georgiou, I.

N1 - The full text is not available on the repository.

PY - 2008/7/24

Y1 - 2008/7/24

N2 - We report results from a Wang–Landau study of the random bond square Ising model with nearest-neighbor (Jnn) and next-nearest-neighbor (Jnnn) antiferromagnetic interactions. We consider the case R = Jnn/Jnnn = 1 for which the competitive nature of interactions produces a sublattice ordering known as superantiferromagnetism and the pure system undergoes a second-order transition with a positive specific heat exponent α. For a particular disorder strength we study the effects of bond randomness and we find that, while the critical exponents of the correlation length ν, magnetization β, and magnetic susceptibility γ increase as compared to the pure model, the ratios β/ν and γ/ν remain unchanged. Thus, the disordered system obeys weak universality and hyperscaling similarly to other two-dimensional disordered systems. However, the specific heat exhibits an unusually strong saturating behavior which distinguishes the present case of competing interactions from other two-dimensional random bond systems studied previously.

AB - We report results from a Wang–Landau study of the random bond square Ising model with nearest-neighbor (Jnn) and next-nearest-neighbor (Jnnn) antiferromagnetic interactions. We consider the case R = Jnn/Jnnn = 1 for which the competitive nature of interactions produces a sublattice ordering known as superantiferromagnetism and the pure system undergoes a second-order transition with a positive specific heat exponent α. For a particular disorder strength we study the effects of bond randomness and we find that, while the critical exponents of the correlation length ν, magnetization β, and magnetic susceptibility γ increase as compared to the pure model, the ratios β/ν and γ/ν remain unchanged. Thus, the disordered system obeys weak universality and hyperscaling similarly to other two-dimensional disordered systems. However, the specific heat exhibits an unusually strong saturating behavior which distinguishes the present case of competing interactions from other two-dimensional random bond systems studied previously.

U2 - 10.1088/1742-5468/2008/07/L07001

DO - 10.1088/1742-5468/2008/07/L07001

M3 - Article

VL - 2008

JO - Journal of Statistical Mechanics: Theory and Experiment

JF - Journal of Statistical Mechanics: Theory and Experiment

SN - 1742-5468

M1 - L07001

ER -