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Grundstate Properties of the 3D Ising Spin Glass

Bernd A. Berg·Ulrich H. E. Hansmann·Tarik Celik
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Abstract

We study zero--temperature properties of the 3d Edwards--Anderson Ising spin glass on finite lattices up to size $12^3$. Using multicanonical sampling we generate large numbers of groundstate configurations in thermal equilibrium. Finite size scaling with a zero--temperature scaling exponent $y = 0.74 \pm 0.12$ describes the data well. Alternatively, a descriptions in terms of Parisi mean field behaviour is still possible. The two scenarios give significantly different predictions on lattices of size $\ge 12^3$.

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Bernd A. Berg, Ulrich H. E. Hansmann, Tarik Celik. 1993-12-07. Grundstate Properties of the 3D Ising Spin Glass. https://doi.org/10.1103/physrevb.50.16444

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