Spin Glass Stiffness in zero Dimensions
Stefan Boettcher
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, y0=-1, corresponds to the value also found in one dimension. This result complements and completes earlier findings for yd at d>0.
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