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Spin Glass Stiffness in zero Dimensions

Stefan Boettcher
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Abstract

A unique analytical result for the Migdal-Kadanoff hierarchical lattice is obtained. The scaling of the defect energy for a zero-dimensional spin glass is derived for a bond distribution that is continuous at the origin. The value of the ``stiffness'' exponent in zero dimensions, y_0=-1, corresponds to the value also found in one dimension. This result complements and completes earlier findings for y_d at d>0.

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Stefan Boettcher. 2006-04-11. Spin Glass Stiffness in zero Dimensions. https://doi.org/10.1088/0305-4470%2F39%2F34%2F003

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