Stefan Boettcher 2006 J. Phys. A: Math. Gen. 39 10641 doi:10.1088/0305-4470/39/34/003
Stefan Boettcher
Show affiliationsA 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.
82D30 Random media, disordered materials (including liquid crystals and spin glasses)
82B20 Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs
Issue 34 (25 August 2006)
Received 12 April 2006, in final form 16 June 2006
Published 9 August 2006
Stefan Boettcher 2006 J. Phys. A: Math. Gen. 39 10641
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