Ising Spin Glasses on Wheatstone-Bridge Hierarchical Lattices

Salmon, Octavio D. R.; Agostini, B. T.; Nobre, F. D.

doi:10.1016/j.physleta.2010.02.022

arXiv 2010-02-10 DOI 10.1016/j.physleta.2010.02.022 0 مشاهدة

Ising Spin Glasses on Wheatstone-Bridge Hierarchical Lattices

Salmon, Octavio D. R. · Agostini, B. T. · Nobre, F. D.

Statistical Mechanics Disordered Systems and Neural Networks

الأصل · EN

Nearest-neighbor-interaction Ising spin glasses are studied on three different hierarchical lattices, all of them belonging to the Wheatstone-Bridge family. It is shown that the spin-glass lower critical dimension in these lattices should be greater than 2.32. Finite-temperature spin-glass phases are found for a lattice of fractal dimension D ≈ 3.58 (whose unit cell is obtained from a simple construction of a part of the cubic lattice), as well as for a lattice of fractal dimension close to five.

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