Spin and link overlaps in 3-dimensional spin glasses

F. Krzakala; O. C. Martin

doi:10.1103/physrevlett.85.3013

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arXiv · cond-mat/0002055

Spin and link overlaps in 3-dimensional spin glasses

F. Krzakala·O. C. Martin

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Abstract

Excitations of three-dimensional spin glasses are computed numerically. We find that one can flip a finite fraction of an LxLxL lattice with an O(1) energy cost, confirming the mean field picture of a non-trivial spin overlap distribution P(q). These low energy excitations are not domain-wall-like, rather they are topologically non-trivial and they reach out to the boundaries of the lattice. Their surface to volume ratios decrease as L increases and may asymptotically go to zero. If so, link and window overlaps between the ground state and these excited states become ``trivial''.

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F. Krzakala, O. C. Martin. 2000-09-05. Spin and link overlaps in 3-dimensional spin glasses. https://doi.org/10.1103/physrevlett.85.3013

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