Ising Spin Glasses on Wheatstone-Bridge Hierarchical Lattices

Details Ising Spin Glasses on Wheatstone-Bridge Hierarchical Lattices Ising Spin Glasses on Wheatstone-Bridge Hierarchical Lattices

2010-02-10

arxiv.org/abs/1002.2026v1

Physics

Condensed Matter

Statistical Mechanics

Accepted for publication in Physics Letters A

Scientific paper

10.1016/j.physleta.2010.02.022

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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