Spin Glass Stiffness in zero Dimensions

Details Spin Glass Stiffness in zero Dimensions Spin Glass Stiffness in zero Dimensions

2006-04-11

arxiv.org/abs/cond-mat/0604263v1

Journal of Physics A: Math. Gen. 39, 10641-10646 (2006)

Physics

Condensed Matter

Disordered Systems and Neural Networks

RevTex, 8 pages, 4 ps-figures included, related articles can be found at http://www.physics.emory.edu/faculty/boettcher

Scientific paper

10.1088/0305-4470/39/34/003

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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