Ising Spin Glasses on Wheatstone-Bridge Hierarchical Lattices - Condensed Matter > Statistical MechanicsReport as inadecuate




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Abstract: Nearest-neighbor-interaction Ising spin glasses are studied on threedifferent hierarchical lattices, all of them belonging to the Wheatstone-Bridgefamily. It is shown that the spin-glass lower critical dimension in theselattices should be greater than 2.32. Finite-temperature spin-glass phases arefound for a lattice of fractal dimension $D \approx 3.58$ whose unit cell isobtained from a simple construction of a part of the cubic lattice, as well asfor a lattice of fractal dimension close to five.



Author: Octavio D. R. Salmon, B. T. Agostini, F. D. Nobre

Source: https://arxiv.org/



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