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.
Create a lesson
Related papers
Optical Ceiling on Polaron Mobility in Disordered Molecular Semiconductors: Lessons from Eumelanin
Alvan Hunt
Glauber dynamics of the Sherrington--Kirkpatrick spin-glass model: a dynamical cavity method
Grzegorz Szamel
Generative diffusion in long-range correlated landscapes: Speciation cascade and the foam structure of the score
Jerome Garnier-Brun, Giulio Biroli, Marc Mézard et al.
A Clifford-index approach connecting boundary Dirac fermions to sigma-model topological terms in the periodic table of topological insulators and superconductors
Y. X. Zhao
Exact solution of the dynamic pseudogap model: Fock-space formalism for Gaussian fluctuations
Michael V. Sadovskii
Covariance-dependent participation scaling of Comtet disorder on open hyperbolic lattices
Wei Li, Yong Cheng