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Ising Spin Glasses on Wheatstone-Bridge Hierarchical Lattices

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

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 $D \approx 3.58$ (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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BibTeXRIS

Octavio D. R. Salmon, B. T. Agostini, F. D. Nobre. 2010-02-10. Ising Spin Glasses on Wheatstone-Bridge Hierarchical Lattices. https://doi.org/10.1016/j.physleta.2010.02.022

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