Ordered Phase of Short-Range Ising Spin-Glasses

Apr 14, 1986
3 pages
Published in:
  • Phys.Rev.Lett. 56 (1986) 1601-1604

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Abstract: (APS)
We propose a new picture of the Ising-spin-glass phase, based on an Ansatz for the scaling of low-lying large-scale-droplet excitations. We find behavior very different from the infinite-range model. The truncated spatial correlations decay as a power of distance, the ac nonlinear susceptibility diverges as a power of lnω, and the magnetization noise power diverges as 1ω with logarithmic corrections. A magnetic field destroys the spin-glass phase so that there is no de Almeida-Thouless transition. Defect excitations should yield similar dynamic phenomena in vector spin-glasses.
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