تقرير
Exact spin-spin correlation function for the zero-temperature random-field Ising model
| العنوان: | Exact spin-spin correlation function for the zero-temperature random-field Ising model |
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| المؤلفون: | Handford, T. P., Perez-Reche, F. J., Taraskin, S. N. |
| المصدر: | J. Stat. Mech. (2012) P01001 |
| سنة النشر: | 2011 |
| المجموعة: | Condensed Matter |
| مصطلحات موضوعية: | Condensed Matter - Statistical Mechanics, Condensed Matter - Disordered Systems and Neural Networks |
| الوصف: | 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. Comment: 21 pages, 8 figures |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1088/1742-5468/2012/01/P01001 |
| URL الوصول: | http://arxiv.org/abs/1106.3424 |
| رقم الأكسشن: | edsarx.1106.3424 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1088/1742-5468/2012/01/P01001 |
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