### Abstract

Original language | English |
---|---|

Article number | P01001 |

Journal | Journal of Statistical Mechanics: Theory and Experiment |

Volume | 2012 |

DOIs | |

Publication status | Published - Jan 2012 |

Externally published | Yes |

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### Cite this

*Journal of Statistical Mechanics: Theory and Experiment*,

*2012*, [P01001]. https://doi.org/10.1088/1742-5468/2012/01/P01001

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*Journal of Statistical Mechanics: Theory and Experiment*, vol. 2012, P01001. https://doi.org/10.1088/1742-5468/2012/01/P01001

**Exact spin–spin correlation function for the zero-temperature random-field Ising model.** / Handford, P.; Perez-Reche, Francisco J.; Taraskin, Sergei N.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Exact spin–spin correlation function for the zero-temperature random-field Ising model

AU - Handford, P.

AU - Perez-Reche, Francisco J.

AU - Taraskin, Sergei N.

PY - 2012/1

Y1 - 2012/1

N2 - An exact expression for the spin–spin correlation function is derived for the zero-temperature random-field Ising model defined on a Bethe lattice of arbitrary coordination number. The correlation length describing dynamic spin–spin correlations and separated from the intrinsic topological length scale of the Bethe lattice is shown to diverge as a power law at the critical point. The critical exponents governing the behaviour of the correlation length are consistent with the mean-field values found for a hypercubic lattice with dimension greater than the upper critical dimension.

AB - An exact expression for the spin–spin correlation function is derived for the zero-temperature random-field Ising model defined on a Bethe lattice of arbitrary coordination number. The correlation length describing dynamic spin–spin correlations and separated from the intrinsic topological length scale of the Bethe lattice is shown to diverge as a power law at the critical point. The critical exponents governing the behaviour of the correlation length are consistent with the mean-field values found for a hypercubic lattice with dimension greater than the upper critical dimension.

U2 - 10.1088/1742-5468/2012/01/P01001

DO - 10.1088/1742-5468/2012/01/P01001

M3 - Article

VL - 2012

JO - Journal of Statistical Mechanics: Theory and Experiment

JF - Journal of Statistical Mechanics: Theory and Experiment

SN - 1742-5468

M1 - P01001

ER -